44:
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1427:. In 1958, Nash was appointed to a tenured position at MIT, and his first signs of mental illness soon became evident. He resigned his position at MIT in the spring of 1959. His son, John Charles Martin Nash, was born a few months later. The child was not named for a year because Alicia felt that Nash should have a say in choosing the name. Due to the stress of dealing with his illness, Nash and Lardé divorced in 1963. After his final hospital discharge in 1970, Nash lived in Lardé's house as a
1226:
604:
956:
a dramatic alteration of our understanding of the basic logic of analysis and differential geometry. Judging from the classical perspective, what Nash has achieved in his papers is as impossible as the story of his life ... is work on isometric immersions ... opened a new world of mathematics that stretches in front of our eyes in yet unknown directions and still waits to be explored.
1204:
thinking of myself as a human of more conventional circumstances and return to mathematical research. In these interludes of, as it were, enforced rationality, I did succeed in doing some respectable mathematical research. Thus there came about the research for "Le problème de Cauchy pour les équations différentielles d'un fluide général"; the idea that Prof.
1196:
temporarily able to return to productive work as a mathematician. By the late 1960s, he relapsed. Eventually, he "intellectually rejected" his "delusionally influenced" and "politically oriented" thinking as a waste of effort. In 1995, he said that he did not realize his full potential due to nearly 30 years of mental illness.
5467:
Contrary to widespread references to Nash's "numerous homosexual liaisons", he was not gay. While he had several emotionally intense relationships with other men when he was in his early 20s, I never interviewed anyone who claimed, much less provided evidence, that Nash ever had sex with another man.
1333:
in 2011, and was keynote speaker at a conference on game theory. Nash also received honorary doctorates from two West
Virginia colleges: the University of Charleston in 2003 and West Virginia University Tech in 2006. He was a prolific guest speaker at a number of events, such as the Warwick Economics
955:
Nash was solving classical mathematical problems, difficult problems, something that nobody else was able to do, not even to imagine how to do it. ... what Nash discovered in the course of his constructions of isometric embeddings is far from 'classical' – it is something that brings about
1463:
in Norway. The driver of the taxicab they were riding in from Newark
Airport lost control of the cab and struck a guardrail. Both passengers were ejected and killed. At the time of his death, Nash was a longtime resident of New Jersey. He was survived by two sons, John Charles Martin Nash, who lived
886:
Nash found the construction of smoothly differentiable isometric embeddings to be unexpectedly difficult. However, after around a year and a half of intensive work, his efforts succeeded, thereby proving the second Nash embedding theorem. The ideas involved in proving this second theorem are largely
1182:
Nash dated the start of what he termed "mental disturbances" to the early months of 1959, when his wife was pregnant. He described a process of change "from scientific rationality of thinking into the delusional thinking characteristic of persons who are psychiatrically diagnosed as 'schizophrenic'
1191:
as "Johann von Nassau". Nash suggested his delusional thinking was related to his unhappiness, his desire to be recognized, and his characteristic way of thinking, saying, "I wouldn't have had good scientific ideas if I had thought more normally." He also said, "If I felt completely pressureless I
1170:
Nash did not take any medication after 1970, nor was he committed to a hospital ever again. Nash recovered gradually. Encouraged by his then former wife, de Lardé, Nash lived at home and spent his time in the
Princeton mathematics department where his eccentricities were accepted even when his
1215:
Thus further time passed. Then gradually I began to intellectually reject some of the delusionally influenced lines of thinking which had been characteristic of my orientation. This began, most recognizably, with the rejection of politically oriented thinking as essentially a hopeless waste of
1203:
I spent times of the order of five to eight months in hospitals in New Jersey, always on an involuntary basis and always attempting a legal argument for release. And it did happen that when I had been long enough hospitalized that I would finally renounce my delusional hypotheses and revert to
1012:
had found nearly identical results for elliptic partial differential equations. De Giorgi and Nash's methods had little to do with one another, although Nash's were somewhat more powerful in applying to both elliptic and parabolic equations. A few years later, inspired by De Giorgi's method,
1195:
Nash reported that he started hearing voices in 1964, then later engaged in a process of consciously rejecting them. He only renounced his "dream-like delusional hypotheses" after a prolonged period of involuntary commitment in mental hospitals—"enforced rationality". Upon doing so, he was
1187:". For Nash, this included seeing himself as a messenger or having a special function of some kind, of having supporters and opponents and hidden schemers, along with a feeling of being persecuted and searching for signs representing divine revelation. During his psychotic phase, Nash also
5468:
Nash was arrested in a police trap in a public lavatory in Santa Monica in 1954, at the height of the McCarthy hysteria. The military think-tank where he was a consultant, stripped him of his top-secret security clearance and fired him ... The charge – indecent exposure – was dropped.
534:
Nash attended kindergarten and public school, and he learned from books provided by his parents and grandparents. Nash's parents pursued opportunities to supplement their son's education, and arranged for him to take advanced mathematics courses at nearby
Bluefield College (now
1376:
in the mathematics faculty. About a year later, Nash began a relationship with
Eleanor Stier, a nurse he met while admitted as a patient. They had a son, John David Stier, but Nash left Stier when she told him of her pregnancy. The film based on Nash's life,
1435:. Princeton allowed him to audit classes. He continued to work on mathematics and was eventually allowed to teach again. In the 1990s, Lardé and Nash resumed their relationship, remarrying in 2001. John Charles Martin Nash earned a PhD in mathematics from
7731:
1211:
But after my return to the dream-like delusional hypotheses in the later 60s I became a person of delusionally influenced thinking but of relatively moderate behavior and thus tended to avoid hospitalization and the direct attention of psychiatrists.
1072:
in 1958. Although the medal committee's reasoning is not fully known, and was not purely based on questions of mathematical merit, archival research has shown that Nash placed third in the committee's vote for the medal, after the two mathematicians
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Nash's later work involved ventures in advanced game theory, including partial agency, which show that, as in his early career, he preferred to select his own path and problems. Between 1945 and 1996, he published 23 scientific papers.
590:
fellowship, convincing Nash that
Princeton valued him more. Further, he considered Princeton more favorably because of its proximity to his family in Bluefield. At Princeton, he began work on his equilibrium theory, later known as the
6124:
7751:
1580:
749:. This was widely regarded as a surprising result, since the class of smooth functions and smooth manifolds is usually far more flexible than the class of polynomials. Nash's proof introduced the concepts now known as
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conspiracy against him. He mailed letters to embassies in
Washington, D.C., declaring that they were establishing a government. Nash's psychological issues crossed into his professional life when he gave an
6117:
1481:
At
Princeton in the 1970s, Nash became known as "The Phantom of Fine Hall" (Princeton's mathematics center), a shadowy figure who would scribble arcane equations on blackboards in the middle of the night.
993:. In his work, as in Morrey's, uniform control over the continuity of the solutions to such equations is achieved, without assuming any level of differentiability on the coefficients of the equation. The
1779:
5736:
5683:
1606:
1381:, was criticized during the run-up to the 2002 Oscars for omitting this aspect of his life. He was said to have abandoned her based on her social status, which he thought to have been beneath his.
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published an article containing quotes from Nash that had been assembled from media and other published sources. The quotes consisted of Nash's reflections on his life and achievements.
1017:
found a different approach to the same results, and the resulting body of work is now known as the De Giorgi–Nash theorem or the De Giorgi–Nash–Moser theory (which is distinct from the
5482:, Chapter 17: Bad Boys, p. 143: "In this circle, Nash learned to make a virtue of necessity, styling himself self-consciously as a "free thinker." He announced that he was an atheist."
1064:(on the smoothness of these minimizers), conjectured almost sixty years prior, was directly amenable to the De Giorgi–Nash theory. Nash received instant recognition for his work, with
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828:
of the embedding to be very small, with the effect that in many cases it is logically impossible that a highly-differentiable isometric embedding exists. (Based on Nash's techniques,
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985:
result for functions of two independent variables, but analogous results for functions of more than two variables had proved elusive. After extensive discussions with
Nirenberg and
2558:
1275:
Nash has suggested hypotheses on mental illness. He has compared not thinking in an acceptable manner, or being "insane" and not fitting into a usual social function, to being "on
7721:
619:
Nash did not publish extensively, although many of his papers are considered landmarks in their fields. As a graduate student at
Princeton, he made foundational contributions to
1068:
describing it as a "stroke of genius". Nash would later speculate that had it not been for De Giorgi's simultaneous discovery, he would have been a recipient of the prestigious
6073:
1208:
called "the Nash blowing-up transformation"; and those of "Arc Structure of Singularities" and "Analyticity of Solutions of Implicit Function Problems with Analytic Data".
3285:
7131:
647:, Nash turned to research dealing directly with partial differential equations, where he discovered and proved the De Giorgi–Nash theorem, thereby resolving one form of
5548:
5423:
5183:
5146:
3655:
951:. Schwartz later commented that Nash's ideas were "not just novel, but very mysterious," and that it was very hard to "get to the bottom of it." According to Gromov:
836:.) As such, Nash's embeddings are limited to the setting of low differentiability. For this reason, Nash's result is somewhat outside the mainstream in the field of
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86:
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work as a Princeton graduate student. In the late 1980s, Nash had begun to use email to gradually link with working mathematicians who realized that he was
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7706:
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1167:. He attributed the depiction to the screenwriter who was worried about the film encouraging people with mental illness to stop taking their medication.
267:
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in 1950, although he had not yet worked out the details of its proof. Nash's theorem was finalized by October 1951, when Nash submitted his work to the
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401:
261:
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You must be a novice in analysis or a genius like Nash to believe anything like that can be ever true and/or to have a single nontrivial application.
715:
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4887:
990:
456:
5590:
3044:
635:. Although the results of Nash's work on differential geometry are phrased in a geometrical language, the work is almost entirely to do with the
820:
Nash's first embedding theorem was found in 1953. He found that any Riemannian manifold can be isometrically embedded in a Euclidean space by a
5986:
1625:) "for striking and seminal contributions to the theory of nonlinear partial differential equations and its applications to geometric analysis"
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1416:
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427:) which are now considered central to game theory and its applications in various sciences. In the 1950s, Nash discovered and proved the
1021:). De Giorgi and Moser's methods became particularly influential over the next several years, through their developments in the works of
891:
for isometric embeddings. The usual formulations of the implicit function theorem are inapplicable, for technical reasons related to the
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Following his death, obituaries appeared in scientific and popular media throughout the world. In addition to their obituary for Nash,
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intellectual effort. So at the present time I seem to be thinking rationally again in the style that is characteristic of scientists.
543:(which later became Carnegie Mellon University) through a full benefit of the George Westinghouse Scholarship, initially majoring in
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wrote a letter of recommendation for Nash's entrance to Princeton stating, "He is a mathematical genius." Nash was also accepted at
3844:
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Although he sometimes took prescribed medication, Nash later wrote that he did so only under pressure. According to Nash, the film
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527:. His mother, Margaret Virginia (née Martin) Nash, had been a schoolteacher before she was married. He was baptized in the
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Nash, John F.; Nash, John F. Jr. (1945). "Sag and tension calculations for cable and wire spans using catenary formulas".
1569:
1408:
1234:
1103:
440:
389:
255:
3249:
989:, Nash was able to extend Morrey's results, not only to functions of more than two variables, but also to the context of
7619:
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4145:
3720:
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1542:
1330:
1138:
694:. In the early 1950s, Nash carried out research on a number of related concepts in game theory, including the theory of
1053:, initiating the re-derivation and extension of the results originally obtained from De Giorgi and Moser's techniques.
851:
and László Székelyhidi, the ideas of Nash's proof were applied for various constructions of turbulent solutions of the
7491:
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821:
679:
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5740:
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3133:
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1955:
1720:
1710:
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540:
101:
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911:
issue was cited as "one of the great achievements in mathematical analysis in this century". According to Gromov:
6925:
6603:
5656:
4917:
2762:
2685:
2646:
1373:
888:
757:, which have since been widely studied in real algebraic geometry. Nash's theorem itself was famously applied by
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340:
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5935:
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Proceedings of the International Congress of Mathematicians: Cambridge, Massachusetts, U. S. A., 1950. Volume I
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1097:, his wife later described his behavior as erratic. Nash thought that all men who wore red ties were part of a
655:
516:
424:
67:
3161:
1114:, the lecture was incomprehensible. Colleagues in the audience immediately realized that something was wrong.
872:
3906:(2016). "Introduction John Nash: theorems and ideas". In Nash, John Forbes Jr.; Rassias, Michael Th. (eds.).
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in a sting operation targeting gay men. Although the charges were dropped, he was stripped of his top-secret
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381:
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1268:'s Nobel award committee and were able to vouch for Nash's mental health and ability to receive the award.
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of partial differential equations, is in strong contrast to Nash's work, which is based on analysis of the
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and Nash found, with separate methods, a body of results paving the way for a systematic understanding of
147:
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John Nash and that his new work had value. They formed part of the nucleus of a group that contacted the
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1989:
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along which extra regularity is continually injected, is regarded as a fundamentally novel technique in
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719:
691:
690:, a crucial concept in non-cooperative games. A version of his thesis was published a year later in the
636:
632:
482:. After 1970, his condition slowly improved, allowing him to return to academic work by the mid-1980s.
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Nash, John F. Jr. (2008). "The agencies method for modeling coalitions and cooperation in games".
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Nash, J. (1966). "Analyticity of the solutions of implicit function problems with analytic data".
1734:. Vol. 97. Interviewed by Martin Raussen and Christian Skau. September 2015. pp. 26–31.
1306:" which was more stable than "bad money." He noted that his thinking on money and the function of
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West Windsor, N.J.: John Forbes Nash Jr., whose life is chronicled in the Oscar-nominated movie
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was a particular result found in the course of his work (the proof of which Nash attributed to
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In 1949, while still a graduate student, Nash found a new result in the mathematical field of
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Eleanor Stier, 84; Brookline nurse had son with Nobel laureate mathematician John F. Nash Jr.
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1431:. This stability seemed to help him, and he learned how to consciously discard his paranoid
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phenomena. Nash's resolution of this issue, given by deforming an isometric embedding by an
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142:
4834:"Brown University Didactic Readings: DSM-IV Schizophrenia (DSM-IV-TR #295.1–295.3, 295.90)"
4709:
4678:(1986). "A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash".
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could lose his home if the township picks one of its proposals to replace a nearby bridge.
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separate from those used in proving the first. The fundamental aspect of the proof is an
459:. Their De Giorgi–Nash theorem on the smoothness of solutions of such equations resolved
6045:
5795:"A 'long awaited recognition': Nash receives Abel Prize for revered work in mathematics"
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4106:
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2512:
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1237:
for his discovery of non-cooperative equilibria, now called Nash Equilibria. He won the
931:. It has been extended and generalized by a number of other authors, among them Gromov,
843:
However, the logic of Nash's work has been found to be useful in many other contexts in
662:–decryption machine. The letters show that Nash had anticipated many concepts of modern
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603:
575:
152:
2472:
2427:
2354:
2309:
1591:) "for their pioneering analysis of equilibria in the theory of non-cooperative games"
1225:
474:
In 1959, Nash began showing clear signs of mental illness, and spent several years at
7665:
7587:
7459:
7340:
7284:
7276:
7252:
7228:
7072:
6627:
6623:
6595:
6583:
6567:
6551:
6539:
6519:
6464:
6440:
6400:
6360:
6308:
6201:
6185:
6173:
6157:
6153:
5858:
4717:
4578:
4189:
3772:
3693:
3537:
3449:"2012 Press Release – National Cryptologic Museum Opens New Exhibit on Dr. John Nash"
3072:
2200:
2158:
2047:
1939:
1847:
1727:
1584:
1573:
1514:
1440:
1276:
1249:
1146:
1134:
1038:
1034:
758:
754:
750:
730:
504:
479:
393:
17:
6001:
5296:
4321:
4302:
4269:
3658:. Vol. 36 (Translated and revised from 1987 French original ed.). Berlin:
1800:
7431:
7348:
7308:
7268:
7260:
7002:
6901:
6755:
6744:
6721:
6706:
6659:
6575:
6388:
6372:
6332:
6244:
6034:
6015:
5853:
5823:
5454:
5445:
4534:
4530:
4130:
3317:
3101:
2979:
2276:
2163:
2112:
1810:
1636:
1555:
1496:
1295:
1069:
1026:
817:
has called "one of the main achievements of mathematics of the twentieth century".
663:
486:
468:
300:
6022:
5828:
2796:
Nash, John F. (2009b). "Studying cooperative games using the method of agencies".
2659:
1078:
832:
soon found even smaller codimensions, with the improved result often known as the
658:
declassified letters written by Nash in the 1950s, in which he had proposed a new
5358:
1419:, having majored in physics. They married in February 1957. Although Nash was an
7123:
6973:
6937:
6651:
6635:
6563:
6448:
6380:
6284:
6248:
4905:
4252:
4223:
4173:
3776:
3382:
3378:
3321:
3191:"Throughout History, Defining Schizophrenia Has Remained A Challenge (Timeline)"
2975:
2497:
Nash, J. (1958). "Continuity of solutions of parabolic and elliptic equations".
2264:
2039:
1792:
1412:
1404:
1303:
1257:
1042:
998:
825:
802:
762:
620:
608:
377:
193:
4771:
4744:
2840:
Proceedings of the National Academy of Sciences of the United States of America
2433:
Proceedings of the National Academy of Sciences of the United States of America
2315:
Proceedings of the National Academy of Sciences of the United States of America
1874:
Proceedings of the National Academy of Sciences of the United States of America
1302:. He proposed a standard of "Ideal Money" pegged to an "industrial consumption
7419:
7356:
7212:
7014:
6814:
6736:
6691:
6181:
5345:
4598:
4114:
4046:
3929:
3667:
3068:
2903:
2729:
2554:"Le problème de Cauchy pour les équations différentielles d'un fluide général"
1963:
1714:
1704:
1640:
1618:
1510:
1460:
1353:
1130:
1074:
746:
659:
500:
409:
273:
4416:
4224:"Convex integration for Lipschitz mappings and counterexamples to regularity"
4193:
4037:. Ergebnisse der Mathematik und ihrer Grenzgebiete (3). Vol. 9. Berlin:
1739:
840:, where high differentiability is significant in much of the usual analysis.
495:, and his struggles with his illness and his recovery became the basis for a
7732:
Fellows of the Institute for Operations Research and the Management Sciences
6860:
5953:
5889:
3166:
3138:
2861:
2035:
1122:
1098:
1065:
548:
4545:. Vol. 14 (Second edition of 1997 original ed.). Providence, RI:
2880:
2481:
2363:
1922:
1283:
about the potential benefits of apparently nonstandard behaviors or roles.
923:'s extension of Nash's ideas for application to other problems (notably in
785:, Nash was eager to find high-profile mathematical problems to study. From
431:
by solving a system of nonlinear partial differential equations arising in
6040:
2995:
2454:
2336:
1345:
in 2006 and became a fellow of the American Mathematical Society in 2012.
745:. In his work, Nash proved that those smooth functions can be taken to be
7503:
5591:"John F. Nash Jr., Math Genius Defined by a 'Beautiful Mind,' Dies at 86"
3045:"John F. Nash Jr., Math Genius Defined by a 'Beautiful Mind,' Dies at 86"
1895:
1694:
1464:
with his parents at the time of their death, and elder child John Stier.
1432:
1317:
Nash received an honorary degree, Doctor of Science and Technology, from
1094:
798:
734:
4461:
4452:. AMS/IP Studies in Advanced Mathematics. Vol. 47. Providence, RI:
4081:; Székelyhidi, László Jr. (2013). "Dissipative continuous Euler flows".
2753:
Nash, John F. (2009a). "Ideal money and asymptotically ideal money". In
1693:
Nash, John (December 5, 2009). "One on One" (Interview). Interviewed by
412:
for their contributions to the field of partial differential equations.
6783:
5962:
5948:
4701:
3802:
3732:
2706:
2620:
2572:
2553:
2528:
2402:
2239:
2184:
2133:
2086:
2010:
1831:
1420:
1188:
1033:, among others. Their work, based primarily on the judicious choice of
612:
6037:
from the Institute for Operations Research and the Management Sciences
5537:
Cabbie In Crash That Killed John Nash Began Driving Taxi Two Weeks Ago
3993:
1581:
Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel
1045:. Nash's approach to the De Giorgi–Nash theory was later revisited by
376:, was an American mathematician who made fundamental contributions to
4242:
2379:
Nash, John (1956). "The imbedding problem for Riemannian manifolds".
1602:
334:
4589:. Classics in Mathematics (Reprint of the second ed.). Berlin:
3794:
2698:
2612:
2520:
2394:
2231:
2176:
2125:
2078:
2002:
1823:
582:. However, the chairman of the mathematics department at Princeton,
4164:
3920:
2835:"The agencies method for coalition formation in experimental games"
1598:
for his 1956 paper "The imbedding problem for Riemannian manifolds"
4097:
1688:(Interview). Interviewed by Marika Griehsel. Nobel Prize Outreach.
1224:
602:
4642:
1451:
On May 23, 2015, Nash and his wife died in a car accident on the
907:
in 1999, where his "most original idea" in the resolution of the
3258:
The Nobel Prizes 1994: Presentations, Biographies & Lectures
682:. The thesis, written under the supervision of doctoral advisor
7752:
Massachusetts Institute of Technology School of Science faculty
7127:
6787:
6106:
1348:
On May 19, 2015, a few days before his death, Nash, along with
4979:
4364:
4362:
4360:
3881:
3879:
3877:
3875:
3602:
3600:
2798:
International Journal of Mathematics, Game Theory, and Algebra
1954:. Annals of Mathematics Studies. Vol. 24. Princeton, NJ:
1780:
Transactions of the American Institute of Electrical Engineers
1646:
1576:) "for their outstanding contributions to the theory of games"
782:
628:
5737:
Institute for Operations Research and the Management Sciences
5684:
Institute for Operations Research and the Management Sciences
4497:. Cambridge Tracts in Mathematics. Vol. 143. Cambridge:
2161:(1953). "A comparison of treatments of a duopoly situation".
1607:
Institute for Operations Research and the Management Sciences
809:. Nash's results proving the conjecture are now known as the
769:, by combining Nash's polynomial approximation together with
4407:. Cambridge Tracts in Mathematics. Vol. 92. Cambridge:
2644:
Nash, John F. Jr. (1995). "Arc structure of singularities".
531:. He had a younger sister, Martha (born November 16, 1930).
372:(June 13, 1928 – May 23, 2015), known and published as
6023:
Nash, John (1928–2015) | Rare Books and Special Collections
3065:"John F. Nash Jr. and Louis Nirenberg share the Abel Prize"
1110:
in early 1959. Originally intended to present proof of the
927:), the resulting implicit function theorem is known as the
3656:
Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge
2888:
Nash, John Forbes Jr.; Rassias, Michael Th., eds. (2016).
1596:
Leroy P. Steele Prize for Seminal Contribution to Research
1141:. Over the next nine years, he spent intervals of time in
905:
Leroy P. Steele Prize for Seminal Contribution to Research
445:
Leroy P. Steele Prize for Seminal Contribution to Research
7757:
Members of the United States National Academy of Sciences
5284:
John Nash is nowhere near as complicated as the real one.
1056:
From the fact that minimizers to many functionals in the
973:
informed Nash of a well-known conjecture in the field of
714:. He announced his theorem in a contributed paper at the
678:
Nash earned a PhD in 1950 with a 28-page dissertation on
555:, to mathematics. After graduating in 1948, with both a
3474:"John Nash's Letter to the NSA; Turing's Invisible Hand"
2267:; Nash, J. F.; Nering, E. D. (1954). "Some experimental
1527:
Golden Globe Award for Best Actor – Motion Picture Drama
1388:, in 1954, while in his twenties, Nash was arrested for
519:. His father and namesake, John Forbes Nash Sr., was an
435:. This work, also introducing a preliminary form of the
4587:
Elliptic partial differential equations of second order
1279:" from an economic point of view. He advanced views in
2759:
Contributions to Game Theory and Management. Volume II
1008:, recently returned from Italy, that the then-unknown
947:. Nash himself analyzed the problem in the context of
698:. For his work, Nash was one of the recipients of the
3134:"Oscar race scrutinizes movies based on true stories"
1808:
Nash, John F. Jr. (1950a). "The bargaining problem".
1325:
in 2003, an honorary doctorate in economics from the
875:
to construct counterexamples to generalized forms of
863:
developed Nash's ideas into the general framework of
27:
American mathematician and Nobel laureate (1928–2015)
5497:"Son of 'A Beautiful Mind' John Nash has one regret"
5346:
List of Fellows of the American Mathematical Society
722:. It had been well-known since the 1930s that every
539:) during his final year of high school. He attended
7400:
7161:
6478:
6227:
6144:
6025:from Princeton's Mudd Library, including a copy of
5521:
David Goodstein, 'Mathematics to Madness, and Back'
5252:
5250:
5248:
2110:Nash, John (1953). "Two-person cooperative games".
1329:in 2007, an honorary doctorate of science from the
551:major and eventually, at the advice of his teacher
515:John Forbes Nash Jr. was born on June 13, 1928, in
351:
333:
312:
290:
248:
240:
184:
125:
94:
75:
53:
34:
5857:
5827:
5413:
4909:
1321:in 1999, an honorary degree in economics from the
1121:for one month. Based on his paranoid, persecutory
1001:), which has been found useful in other contexts.
419:, Nash introduced a number of concepts (including
6074:Laureate of the Nobel Memorial Prize in Economics
3845:L'Enseignement Mathématique. Revue Internationale
2761:. St. Petersburg: Graduate School of Management,
686:, contained the definition and properties of the
5490:
5488:
4303:"The inverse function theorem of Nash and Moser"
2938:Four of Nash's game-theoretic papers (Nash
2063:Nash, John (1952b). "Real algebraic manifolds".
1639:(March 17, 2002). "John Nash's Beautiful Mind".
1403:Not long after breaking up with Stier, Nash met
1192:don't think I would have gone in this pattern".
1171:mental condition was poor. De Lardé credits his
1942:(1950). "A simple three-person poker game". In
1732:Newsletter of the European Mathematical Society
1485:He is referred to in a novel set at Princeton,
1201:
1060:solve elliptic partial differential equations,
953:
913:
867:, which has been (among other uses) applied by
230: 2001; their deaths 2015)
7712:Institute for Advanced Study visiting scholars
5215:. By JULIA ZUCKERMAN Wednesday, April 27, 2005
5118:"John Nash: My experience with mental illness"
2310:"A path space and the Stiefel–Whitney classes"
1952:Contributions to the Theory of Games, Volume I
1728:"Interview with Abel Laureate John F. Nash Jr"
563:in mathematics, Nash accepted a fellowship to
417:Princeton University Department of Mathematics
7817:Members of the American Philosophical Society
7139:
6799:
6118:
5239:"Napoli, laurea a Nash il 'genio dei numeri'"
5209:"Nobel winner Nash critiques economic theory"
4745:"The Fields Medal should return to its roots"
4632:Second order parabolic differential equations
4308:Bulletin of the American Mathematical Society
4293:
4291:
2559:Bulletin de la Société Mathématique de France
2216:Nash, John (1954). "C isometric imbeddings".
1525:. For his performance as Nash, Crowe won the
574:Nash's adviser and former Carnegie professor
8:
7722:Fellows of the American Mathematical Society
6138:Sveriges Riksbank Prize in Economic Sciences
4860:
4858:
3423:Notices of the American Mathematical Society
3391:Notices of the American Mathematical Society
1987:Nash, John (1951). "Non-cooperative games".
4681:Archive for Rational Mechanics and Analysis
3898:
3896:
3894:
3096:
3094:
3092:
3090:
793:, he learned about the conjecture that any
7146:
7132:
7124:
6806:
6792:
6784:
6125:
6111:
6103:
6051:
6044:
5984:NSA releases Nash Encryption Machine plans
5949:Home Page of John F. Nash Jr. at Princeton
5184:"John Nash and a Beautiful Mind on Strike"
5006:"PBS Interview: How does Recovery Happen?"
3641:
3639:
3243:
3241:
3239:
3237:
3235:
3233:
3231:
3229:
3227:
3225:
1654:Samels, Mark (director) (April 28, 2002).
268:Member of the National Academy of Sciences
42:
31:
5647:"Nash GS '50: 'The Phantom of Fine Hall'"
4770:
4395:
4393:
4320:
4251:
4241:
4163:
4096:
3919:
3409:
3407:
3405:
2870:
2860:
2571:
2471:
2453:
2353:
2335:
1912:
1894:
1246:Nobel Memorial Prize in Economic Sciences
700:Nobel Memorial Prize in Economic Sciences
262:Nobel Memorial Prize in Economic Sciences
5980:, about Nash's work and world government
5257:Suellentrop, Chris (December 21, 2001).
1459:while returning home from receiving the
1081:) who were awarded the medal that year.
991:parabolic partial differential equations
824:mapping. Nash's construction allows the
716:International Congress of Mathematicians
457:parabolic partial differential equations
5931:MacTutor History of Mathematics Archive
4888:MacTutor History of Mathematics Archive
3035:
2036:"Algebraic approximations of manifolds"
1400:, where he had worked as a consultant.
1189:referred to himself in the third person
1093:first began to manifest in the form of
975:elliptic partial differential equations
5297:"Nobel Laureate John Nash to Visit HK"
5147:"The Work of John Nash in Game Theory"
4948:Greihsel, Marika (September 1, 2004).
4025:
4023:
4021:
3509:. Princeton University. Archived from
1753:
7822:American scientists with disabilities
7747:John von Neumann Theory Prize winners
6007:The Concise Encyclopedia of Economics
5549:"John Forbes Nash May Lose N.J. Home"
5479:
5426:from the original on January 11, 2022
5415:"John Nash, mathematician – obituary"
5224:
5203:
5201:
5044:
4864:
4785:
4730:
4636:World Scientific Publishing Co., Inc.
4450:Heat kernel and analysis on manifolds
4368:
3885:
3630:
3618:
3606:
3587:
3583:
3437:from the original on August 29, 2000.
3356:
3216:
2959:
2943:
2939:
2825:Nash, John F. Jr.; Nagel, Rosemarie;
1570:INFORMS John von Neumann Theory Prize
1370:Massachusetts Institute of Technology
320:Massachusetts Institute of Technology
7:
7777:People from West Windsor, New Jersey
7772:People from Bluefield, West Virginia
7682:20th-century American mathematicians
5645:Kwon, Ha Kyung (December 10, 2010).
5271:from the original on January 4, 2014
5058:"PBS Interview: The Downward Spiral"
5026:"PBS Interview: Delusional Thinking"
4743:Barany, Michael (January 18, 2018).
4384:
4380:
4351:
4282:
3960:
3837:"On the entropy of holomorphic maps"
3591:
3571:
3338:from the original on January 1, 2007
3106:"The Lost Years of a Nobel Laureate"
2967:
2963:
2951:
2947:
1139:New Jersey State Hospital at Trenton
1137:. In 1961, Nash was admitted to the
1117:In April 1959, Nash was admitted to
781:During his postdoctoral position at
5382:Goldstein, Scott (April 10, 2005)
2970:) were collected in the following:
2683:Nash, John (2002a). "Ideal money".
1423:, the ceremony was performed in an
1175:to maintaining "a quiet life" with
1163:inaccurately implied he was taking
7787:Road incident deaths in New Jersey
7727:Fellows of the Econometric Society
5395:Sutherland, John (March 18, 2002)
5237:Capua, Patrizia (March 19, 2003).
5207:Zuckerman, Julia (April 27, 2005)
5156:. December 8, 1994. Archived from
5098:"PBS Interview: Paths to Recovery"
3383:"John Nash and 'A Beautiful Mind'"
1684:Nash, John (September 1–4, 2004).
1509:was released in 2001, directed by
525:Appalachian Electric Power Company
25:
7802:Mathematicians from West Virginia
7707:Carnegie Mellon University alumni
6035:Biography of John Forbes Nash Jr.
5706:"All prizes in economic sciences"
5495:Livio, Susan K. (June 11, 2017).
5397:"Beautiful mind, lousy character"
4912:Roger Ebert's Movie Yearbook 2003
4146:"A proof of Onsager's conjecture"
3250:"John F. Nash Jr. – Biographical"
503:, in which Nash was portrayed by
392:. Nash and fellow game theorists
6012:Library of Economics and Liberty
5793:Kelly, Morgan (March 26, 2015).
5762:"John F. Nash Jr.: 2010 Honoree"
5618:"The Wisdom of a Beautiful Mind"
5555:. March 14, 2002. Archived from
5182:Neubauer, David (June 1, 2007).
4405:Heat kernels and spectral theory
3984:. Vol. 48. Providence, RI:
3071:. March 25, 2015. Archived from
2757:; Zenkevich, Nikolay A. (eds.).
2717:International Game Theory Review
1539:55th British Academy Film Awards
1323:University of Naples Federico II
541:Carnegie Institute of Technology
209:
6214:Leonid Vitaliyevich Kantorovich
5241:(in Italian). la Repubblica.it.
5078:"PBS Interview: Hearing voices"
4543:Graduate Studies in Mathematics
4322:10.1090/s0273-0979-1982-15004-2
3982:Graduate Studies in Mathematics
3978:Introduction to the h-principle
3646:Bochnak, Jacek; Coste, Michel;
2500:American Journal of Mathematics
1541:. Crowe was nominated for the
903:. Nash's paper was awarded the
485:Nash's life was the subject of
227:
205:
7807:Mathematicians from New Jersey
6002:"John F. Nash Jr. (1928–2015)"
5348:. Retrieved February 24, 2013.
4950:"John F. Nash Jr. – Interview"
4448:Grigor'yan, Alexander (2009).
4035:Partial differential relations
3779:(1965). "On periodic points".
3539:An Introduction to Game Theory
2157:Mayberry, J. P.; Nash, J. F.;
1343:American Philosophical Society
1233:In 1978, Nash was awarded the
1004:Soon after, Nash learned from
961:Partial differential equations
897:ordinary differential equation
641:partial differential equations
627:. As a postdoctoral fellow at
467:, which had been a well-known
439:, was later recognized by the
390:partial differential equations
1:
7155:John von Neumann Theory Prize
5958:Mathematics Genealogy Project
5767:Cold Spring Harbor Laboratory
5589:Goode, Erica (May 24, 2015).
4547:American Mathematical Society
4454:American Mathematical Society
3986:American Mathematical Society
3331:. pp. Introduction, xi.
3043:Goode, Erica (May 24, 2015).
2660:10.1215/S0012-7094-95-08103-4
2056:American Mathematical Society
1760:: CS1 maint: date and year (
1310:paralleled that of economist
1235:John von Neumann Theory Prize
1104:American Mathematical Society
571:in mathematics and sciences.
441:American Mathematical Society
415:As a graduate student in the
256:John von Neumann Theory Prize
7797:Princeton University faculty
7762:Nobel laureates in Economics
5797:. Office of Communications.
4839:. Providence, Rhode Island:
3908:Open problems in mathematics
3721:Lecture Notes in Mathematics
3291:. p. 23. Archived from
3286:"Nash recommendation letter"
2891:Open problems in mathematics
1630:Documentaries and interviews
1543:Academy Award for Best Actor
1331:City University of Hong Kong
1221:Recognition and later career
1062:Hilbert's nineteenth problem
877:Hilbert's nineteenth problem
649:Hilbert's nineteenth problem
645:isometric embedding theorems
461:Hilbert's nineteenth problem
173:Hilbert's nineteenth problem
7792:Princeton University alumni
5995:National Cryptologic Museum
4976:"PBS Interview: Medication"
4630:Lieberman, Gary M. (1996).
4253:10.4007/annals.2003.157.715
4174:10.4007/annals.2018.188.3.4
3535:Osborne, Martin J. (2004).
3189:Yuhas, Daisy (March 2013).
2285:John Wiley & Sons, Inc.
1863:Nash, John F. Jr. (1950b).
1793:10.1109/T-AIEE.1945.5059021
1666:Public Broadcasting Service
1553:won for his performance in
1505:, was published in 1998. A
1457:Monroe Township, New Jersey
1415:. Lardé was graduated from
1405:Alicia Lardé Lopez-Harrison
965:While spending time at the
822:continuously differentiable
607:Nash in November 2006 at a
567:, where he pursued further
194:Alicia Lardé Lopez-Harrison
87:Monroe Township, New Jersey
7838:
6206:Friedrich August von Hayek
5989:February 19, 2012, at the
5872:Princeton University Press
5732:Fellows: Alphabetical List
5359:"2015: Nash and Nirenberg"
4974:Nash, John Forbes (2002).
4772:10.1038/d41586-018-00513-8
4499:Cambridge University Press
4409:Cambridge University Press
3723:. Vol. 1269. Berlin:
3430:(4): 457–462. April 1999.
3368:Nasar (2002), pp. xvi–xix.
3329:Princeton University Press
3248:Nash, John F. Jr. (1995).
2988:Princeton University Press
2038:. In Graves, Lawrence M.;
1956:Princeton University Press
1535:BAFTA Award for Best Actor
1517:playing Nash; it won four
1319:Carnegie Mellon University
1183:or 'paranoid schizophrenic
489:'s 1998 biographical book
102:Carnegie Mellon University
7782:People with schizophrenia
6822:
6604:Christopher A. Pissarides
6091:
6071:
6059:
6054:
5123:December 7, 2016, at the
4918:Andrews McMeel Publishing
4599:10.1007/978-3-642-61798-0
4115:10.1007/s00222-012-0429-9
4047:10.1007/978-3-662-02267-2
3930:10.1007/978-3-319-32162-2
3715:Shiota, Masahiro (1987).
3668:10.1007/978-3-662-03718-8
3322:"The Essential John Nash"
2904:10.1007/978-3-319-32162-2
2763:St. Petersburg University
2730:10.1142/S0219198908002084
2686:Southern Economic Journal
2647:Duke Mathematical Journal
1964:10.1515/9781400881727-011
1645:. Season 34. Episode 26.
1374:C. L. E. Moore instructor
1244:In 1994, he received the
1145:, where he received both
981:had proved a fundamental
889:implicit function theorem
363:
283:
41:
7812:McLean Hospital patients
7697:American Nobel laureates
6885:S. R. Srinivasa Varadhan
5997:for public viewing, 2012
5936:University of St Andrews
5031:October 1, 2016, at the
4893:University of St Andrews
4417:10.1017/CBO9780511566158
4084:Inventiones Mathematicae
3976:; Mishachev, N. (2002).
3453:National Security Agency
3320:; Nasar, Sylvia (eds.).
3196:Scientific American Mind
1531:59th Golden Globe Awards
1409:naturalized U.S. citizen
1386:Santa Monica, California
1341:Nash was elected to the
1133:, he was diagnosed with
847:. Starting with work of
656:National Security Agency
643:. After proving his two
517:Bluefield, West Virginia
511:Early life and education
471:for almost sixty years.
425:Nash bargaining solution
402:Nobel Prize in Economics
68:Bluefield, West Virginia
7737:American game theorists
5897:Siegfried, Tom (2006).
5868:The Essential John Nash
5063:March 10, 2017, at the
3652:Real algebraic geometry
3545:Oxford University Press
3500:"Non-Cooperative Games"
3162:"Academy Award Winners"
3114:. Princeton, New Jersey
2984:The essential John Nash
2862:10.1073/pnas.1216361109
2279:; Davis, R. L. (eds.).
1865:"Equilibrium points in
1439:and was diagnosed with
1360:at a ceremony in Oslo.
1352:, was awarded the 2015
1334:Summit in 2005, at the
1281:evolutionary psychology
1165:atypical antipsychotics
811:Nash embedding theorems
712:real algebraic geometry
706:Real algebraic geometry
625:real algebraic geometry
429:Nash embedding theorems
382:real algebraic geometry
7717:Differential geometers
7644:Christos Papadimitriou
7484:Arthur F. Veinott, Jr.
7389:R. Tyrrell Rockafellar
5926:"John Forbes Nash Jr."
5652:The Daily Princetonian
5213:The Brown Daily Herald
5136:Nasar (2002), p. xiii.
5127:. PBS Interview, 2002.
5083:March 9, 2012, at the
4883:"John Forbes Nash Jr."
4798:Sabbagh, Karl (2003).
4144:Isett, Philip (2018).
1499:'s biography of Nash,
1372:(MIT) hired Nash as a
1230:
1218:
1058:calculus of variations
958:
917:
881:calculus of variations
813:, the second of which
737:of some collection of
668:computational hardness
616:
599:Research contributions
465:calculus of variations
400:were awarded the 1994
148:Nash embedding theorem
7564:Jean Bernard Lasserre
6325:James M. Buchanan Jr.
5103:June 5, 2016, at the
5011:June 6, 2016, at the
4229:Annals of Mathematics
4151:Annals of Mathematics
3782:Annals of Mathematics
3104:(November 13, 1994).
2996:10.1515/9781400884087
2600:Annals of Mathematics
2455:10.1073/pnas.43.8.754
2428:"Parabolic equations"
2382:Annals of Mathematics
2337:10.1073/pnas.41.5.320
2219:Annals of Mathematics
2066:Annals of Mathematics
1990:Annals of Mathematics
1656:"A Brilliant Madness"
1507:film by the same name
1487:The Mind-Body Problem
1336:University of Warwick
1327:University of Antwerp
1239:Leroy P. Steele Prize
1229:Nash pictured in 2011
1228:
1154:insulin shock therapy
1143:psychiatric hospitals
901:mathematical analysis
845:mathematical analysis
838:differential geometry
791:differential geometer
777:Differential geometry
720:Annals of Mathematics
692:Annals of Mathematics
680:non-cooperative games
666:, which are based on
637:mathematical analysis
633:differential geometry
606:
497:film of the same name
476:psychiatric hospitals
463:on regularity in the
386:differential geometry
370:John Forbes Nash, Jr.
341:Non-Cooperative Games
18:John Forbes Nash, Jr.
7702:Board game designers
7687:Abel Prize laureates
6986:John Forbes Nash Jr.
6588:Oliver E. Williamson
6218:Tjalling C. Koopmans
6041:John Forbes Nash Jr.
5954:John Forbes Nash Jr.
5922:Robertson, Edmund F.
5901:. Washington, D.C.:
5799:Princeton University
5326:search.amphilsoc.org
5322:"APS Member History"
4879:Robertson, Edmund F.
4495:Analysis on fractals
4493:Kigami, Jun (2001).
4299:Hamilton, Richard S.
3648:Roy, Marie-Françoise
3415:"1999 Steele Prizes"
3264:. pp. 275–279.
2765:. pp. 281–293.
2034:Nash, John (1952a).
1958:. pp. 105–116.
1896:10.1073/pnas.36.1.48
1637:Wallace, Mike (host)
1294:which allowed for a
1199:Nash wrote in 1994:
565:Princeton University
545:chemical engineering
537:Bluefield University
325:Princeton University
208: 1957;
133:Nash bargaining game
116:Princeton University
36:John Forbes Nash Jr.
7476:Alexander Schrijver
7452:J. Michael Harrison
6616:Christopher A. Sims
6544:Thomas C. Schelling
6516:Robert F. Engle III
6417:Robert E. Lucas Jr.
6265:Theodore W. Schultz
6095:Robert E. Lucas Jr.
5920:O'Connor, John J.;
5874:. pp. xi–xxv.
5774:on October 17, 2014
4877:O'Connor, John J.;
4804:. London, England:
4801:Dr. Riemann's Zeros
4763:2018Natur.553..271B
4694:1986ArRMA..96..327F
4196:on October 11, 2022
4107:2013InMat.193..377D
3543:. Oxford, England:
3476:. February 17, 2012
2954:) and three of his
2853:2012PNAS..10920358N
2847:(50): 20358–20363.
2552:Nash, John (1962).
2513:1958AmJM...80..931N
2446:1957PNAS...43..754N
2426:Nash, John (1957).
2328:1955PNAS...41..320N
2308:Nash, John (1955).
2271:-person games". In
2058:. pp. 516–517.
1887:1950PNAS...36...48N
1661:American Experience
1547:74th Academy Awards
1453:New Jersey Turnpike
1108:Columbia University
983:elliptic regularity
925:celestial mechanics
834:Nash–Kuiper theorem
795:Riemannian manifold
547:. He switched to a
521:electrical engineer
433:Riemannian geometry
7648:Mihalis Yannakakis
7608:Dimitris Bertsimas
7428:Donald L. Iglehart
7412:Manfred W. Padberg
7051:Hillel Furstenberg
6532:Edward C. Prescott
6520:Clive W.J. Granger
6496:Joseph E. Stiglitz
6469:Daniel L. McFadden
6357:Harry M. Markowitz
6080:Served alongside:
6043:on Nobelprize.org
5968:"Nash Equilibrium"
5903:Joseph Henry Press
5836:Simon and Schuster
5623:The New York Times
5596:The New York Times
5525:The New York Times
5450:"The sum of a man"
5448:(March 25, 2002).
5386:, Boston.com News.
5282:A Beautiful Mind's
5194:on April 21, 2008.
5163:on August 10, 2013
4702:10.1007/BF00251802
4634:. River Edge, NJ:
4583:Trudinger, Neil S.
4079:De Lellis, Camillo
3733:10.1007/BFb0078571
3111:The New York Times
3050:The New York Times
2958:papers (Nash
2755:Petrosjan, Leon A.
2573:10.24033/bsmf.1586
2287:pp. 301–327.
2281:Decision Processes
2054:. Providence, RI:
1699:Al Jazeera English
1613:Double Helix Medal
1470:The New York Times
1437:Rutgers University
1394:security clearance
1358:Harald V of Norway
1308:monetary authority
1292:monetary economics
1231:
1112:Riemann hypothesis
1023:Olga Ladyzhenskaya
1019:Nash–Moser theorem
969:in New York City,
949:analytic functions
929:Nash–Moser theorem
909:loss of regularity
893:loss of regularity
865:convex integration
617:
586:, offered him the
580:Harvard University
553:John Lighton Synge
478:being treated for
437:Nash–Moser theorem
404:. In 2015, he and
168:Nash–Moser theorem
7692:American atheists
7659:
7658:
7652:
7640:
7632:
7628:Alexander Shapiro
7624:
7616:
7604:
7596:Dimitri Bertsekas
7592:
7580:
7568:
7556:
7548:
7540:
7528:
7524:Gérard Cornuéjols
7520:
7508:
7496:
7488:
7480:
7464:
7456:
7448:
7440:Arkadi Nemirovski
7436:
7424:
7416:
7393:
7385:
7377:
7369:
7365:Peter C. Fishburn
7361:
7353:
7345:
7337:
7325:
7317:Richard E. Barlow
7313:
7305:
7297:
7289:
7281:
7273:
7265:
7257:
7249:
7245:Richard J. Duffin
7241:William W. Cooper
7233:
7225:
7209:
7201:
7189:
7181:
7173:
7121:
7120:
6832:Jean-Pierre Serre
6781:
6780:
6680:Richard H. Thaler
6644:Robert J. Shiller
6640:Lars Peter Hansen
6612:Thomas J. Sargent
6600:Dale T. Mortensen
6492:A. Michael Spence
6488:George A. Akerlof
6457:Robert A. Mundell
6425:James A. Mirrlees
6393:Douglass C. North
6365:William F. Sharpe
6317:Franco Modigliani
6293:George J. Stigler
6277:Lawrence R. Klein
6166:Paul A. Samuelson
6101:
6100:
6092:Succeeded by
6067:Douglass C. North
5912:978-0-309-10192-9
5881:978-0-691-09610-0
5845:978-1-4391-2649-3
5575:A Beautiful Mind,
5569:HighBeam Research
5403:, March 18, 2002.
4927:978-0-7407-2691-0
4757:(7688): 271–273.
4471:978-0-8218-4935-4
4462:10.1090/amsip/047
4232:. Second Series.
4154:. Second Series.
3939:978-3-319-32160-8
3785:. Second Series.
3516:on April 20, 2015
3271:978-91-85848-24-9
2986:. Princeton, NJ:
2913:978-3-319-32160-8
2772:978-5-9924-0020-5
2603:. Second Series.
2385:. Second Series.
2222:. Second Series.
2069:. Second Series.
1993:. Second Series.
1686:"John F. Nash Jr"
1551:Denzel Washington
1491:Rebecca Goldstein
1390:indecent exposure
1300:monetary policies
1129:, and increasing
967:Courant Institute
849:Camillo De Lellis
767:dynamical systems
696:cooperative games
631:, Nash turned to
584:Solomon Lefschetz
408:were awarded the
367:
366:
285:Scientific career
48:Nash in the 2000s
16:(Redirected from
7829:
7650:
7638:
7630:
7622:
7614:
7602:
7590:
7578:
7576:Ruth J. Williams
7572:Martin I. Reiman
7566:
7554:
7546:
7538:
7532:George Nemhauser
7526:
7518:
7506:
7494:
7486:
7478:
7468:Martin Grötschel
7462:
7454:
7446:
7434:
7422:
7414:
7408:Ellis L. Johnson
7391:
7383:
7375:
7367:
7359:
7351:
7343:
7335:
7323:
7311:
7303:
7295:
7293:Herbert A. Simon
7287:
7279:
7271:
7263:
7255:
7247:
7231:
7223:
7221:Albert W. Tucker
7207:
7199:
7197:Carlton E. Lemke
7187:
7179:
7171:
7148:
7141:
7134:
7125:
7109:Michel Talagrand
7056:Grigory Margulis
7027:Robert Langlands
6897:John G. Thompson
6873:Lennart Carleson
6808:
6801:
6794:
6785:
6774:
6766:
6764:Philip H. Dybvig
6747:
6728:
6726:Robert B. Wilson
6713:
6703:Abhijit Banerjee
6694:
6688:William Nordhaus
6682:
6674:
6662:
6654:
6646:
6630:
6628:Lloyd S. Shapley
6618:
6606:
6596:Peter A. Diamond
6590:
6578:
6570:
6568:Roger B. Myerson
6554:
6552:Edmund S. Phelps
6546:
6540:Robert J. Aumann
6534:
6522:
6510:
6498:
6471:
6465:James J. Heckman
6459:
6451:
6443:
6441:Myron S. Scholes
6437:Robert C. Merton
6431:
6419:
6411:
6405:John F. Nash Jr.
6401:John C. Harsanyi
6395:
6383:
6375:
6367:
6361:Merton H. Miller
6351:
6343:
6335:
6327:
6319:
6311:
6303:
6295:
6287:
6279:
6271:
6269:Sir Arthur Lewis
6259:
6257:Herbert A. Simon
6251:
6239:
6220:
6208:
6196:
6194:Wassily Leontief
6188:
6186:Kenneth J. Arrow
6176:
6168:
6160:
6127:
6120:
6113:
6104:
6083:John C. Harsanyi
6060:Preceded by
6052:
6048:
6027:his dissertation
6019:
6014:(2nd ed.).
5938:
5916:
5899:A Beautiful Math
5893:
5861:
5849:
5833:
5830:A Beautiful Mind
5810:
5809:
5807:
5805:
5790:
5784:
5783:
5781:
5779:
5770:. Archived from
5758:
5752:
5751:
5750:
5748:
5739:, archived from
5727:
5721:
5720:
5718:
5716:
5702:
5696:
5695:
5693:
5691:
5675:
5669:
5668:
5666:
5664:
5655:. Archived from
5642:
5636:
5635:
5633:
5631:
5614:
5608:
5607:
5605:
5603:
5586:
5580:
5579:
5566:
5564:
5553:Associated Press
5545:
5539:
5534:
5528:
5518:
5512:
5511:
5509:
5507:
5501:NJ Advance Media
5492:
5483:
5477:
5471:
5470:
5464:
5462:
5442:
5436:
5435:
5433:
5431:
5422:. May 24, 2015.
5417:
5410:
5404:
5393:
5387:
5380:
5374:
5373:
5371:
5369:
5355:
5349:
5343:
5337:
5336:
5334:
5332:
5318:
5312:
5311:
5309:
5307:
5293:
5287:
5286:
5278:
5276:
5254:
5243:
5242:
5234:
5228:
5222:
5216:
5205:
5196:
5195:
5190:. Archived from
5179:
5173:
5172:
5170:
5168:
5162:
5151:
5143:
5137:
5134:
5128:
5114:
5108:
5094:
5088:
5074:
5068:
5054:
5048:
5042:
5036:
5022:
5016:
5002:
4996:
4995:
4993:
4991:
4982:. Archived from
4971:
4965:
4964:
4962:
4960:
4954:Nobel Foundation
4945:
4939:
4938:
4936:
4934:
4915:
4902:
4896:
4895:
4874:
4868:
4862:
4853:
4852:
4850:
4848:
4841:Brown University
4838:
4830:
4824:
4823:
4795:
4789:
4783:
4777:
4776:
4774:
4740:
4734:
4728:
4722:
4721:
4671:
4665:
4664:
4627:
4621:
4620:
4575:
4569:
4568:
4531:Lieb, Elliott H.
4527:
4521:
4520:
4490:
4484:
4483:
4445:
4439:
4438:
4397:
4388:
4378:
4372:
4366:
4355:
4349:
4343:
4342:
4324:
4295:
4286:
4280:
4274:
4273:
4255:
4245:
4212:
4206:
4205:
4203:
4201:
4192:. Archived from
4167:
4141:
4135:
4134:
4100:
4075:
4069:
4068:
4027:
4016:
4015:
3970:
3964:
3958:
3952:
3951:
3923:
3900:
3889:
3883:
3870:
3869:
3852:(3–4): 217–235.
3841:
3829:
3823:
3822:
3769:
3763:
3762:
3712:
3706:
3705:
3643:
3634:
3628:
3622:
3616:
3610:
3604:
3595:
3581:
3575:
3569:
3563:
3562:
3542:
3532:
3526:
3525:
3523:
3521:
3515:
3504:
3492:
3486:
3485:
3483:
3481:
3470:
3464:
3463:
3461:
3459:
3445:
3439:
3438:
3436:
3419:
3411:
3400:
3399:
3398:(10): 1329–1332.
3387:
3375:
3369:
3366:
3360:
3354:
3348:
3347:
3345:
3343:
3337:
3326:
3314:
3308:
3307:
3305:
3303:
3297:
3290:
3282:
3276:
3275:
3262:Nobel Foundation
3245:
3220:
3214:
3208:
3207:
3205:
3203:
3186:
3180:
3179:
3177:
3175:
3170:. March 25, 2002
3158:
3152:
3151:
3149:
3147:
3130:
3124:
3123:
3121:
3119:
3098:
3085:
3084:
3082:
3080:
3075:on June 16, 2019
3061:
3055:
3054:
3040:
3025:
2956:pure mathematics
2933:
2884:
2874:
2864:
2831:Selten, Reinhard
2821:
2804:(4–5): 413–426.
2792:
2749:
2710:
2679:
2640:
2593:
2575:
2548:
2493:
2475:
2457:
2422:
2375:
2357:
2339:
2304:
2270:
2263:Kalisch, G. K.;
2259:
2212:
2153:
2106:
2059:
2030:
1983:
1934:
1916:
1898:
1868:
1859:
1804:
1770:Publication list
1765:
1759:
1751:
1717:
1707:
1702:
1689:
1680:
1678:
1676:
1650:
1502:A Beautiful Mind
1425:Episcopal church
1398:RAND Corporation
1379:A Beautiful Mind
1286:Nash criticized
1206:Heisuke Hironaka
1186:
1161:A Beautiful Mind
1089:Although Nash's
1039:weak formulation
933:Richard Hamilton
859:. In the 1970s,
771:BĂ©zout's theorem
765:to the study of
739:smooth functions
688:Nash equilibrium
684:Albert W. Tucker
593:Nash equilibrium
569:graduate studies
529:Episcopal Church
492:A Beautiful Mind
421:Nash equilibrium
358:Albert W. Tucker
353:Doctoral advisor
347:
231:
229:
213:
211:
207:
143:Nash equilibrium
82:
63:
61:
46:
32:
21:
7837:
7836:
7832:
7831:
7830:
7828:
7827:
7826:
7662:
7661:
7660:
7655:
7600:John Tsitsiklis
7584:Donald Goldfarb
7544:Michel Balinski
7536:Laurence Wolsey
7444:Michael J. Todd
7396:
7329:Alan J. Hoffman
7301:Harry Markowitz
7237:Abraham Charnes
7205:David Blackwell
7185:Felix Pollaczek
7177:Richard Bellman
7157:
7152:
7122:
7117:
7116:
7113:
7101:
7097:Luis Caffarelli
7089:
7085:Dennis Sullivan
7077:
7060:
7043:
7039:Karen Uhlenbeck
7031:
7019:
7007:
6995:
6991:Louis Nirenberg
6978:
6966:
6954:
6950:Endre Szemerédi
6942:
6930:
6918:
6906:
6889:
6877:
6865:
6853:
6836:
6818:
6812:
6782:
6777:
6769:
6760:Douglas Diamond
6750:
6731:
6716:
6697:
6685:
6677:
6672:Bengt Holmström
6665:
6657:
6649:
6633:
6621:
6609:
6593:
6581:
6573:
6557:
6549:
6537:
6528:Finn E. Kydland
6525:
6513:
6508:Vernon L. Smith
6504:Daniel Kahneman
6501:
6485:
6474:
6462:
6454:
6446:
6434:
6429:William Vickrey
6422:
6414:
6409:Reinhard Selten
6398:
6389:Robert W. Fogel
6386:
6378:
6373:Ronald H. Coase
6370:
6354:
6349:Trygve Haavelmo
6346:
6338:
6333:Robert M. Solow
6330:
6322:
6314:
6306:
6298:
6290:
6282:
6274:
6262:
6254:
6242:
6237:Milton Friedman
6234:
6223:
6211:
6199:
6191:
6179:
6171:
6163:
6151:
6140:
6131:
6097:
6087:Reinhard Selten
6079:
6077:
6069:
6065:
6063:Robert W. Fogel
6000:
5991:Wayback Machine
5945:
5919:
5913:
5896:
5882:
5864:Kuhn, Harold W.
5852:
5846:
5822:
5819:
5814:
5813:
5803:
5801:
5792:
5791:
5787:
5777:
5775:
5760:
5759:
5755:
5746:
5744:
5743:on May 10, 2019
5729:
5728:
5724:
5714:
5712:
5710:The Nobel Prize
5704:
5703:
5699:
5689:
5687:
5677:
5676:
5672:
5662:
5660:
5644:
5643:
5639:
5629:
5627:
5616:
5615:
5611:
5601:
5599:
5588:
5587:
5583:
5562:
5560:
5559:on May 18, 2013
5547:
5546:
5542:
5535:
5531:
5527:, June 11, 1998
5519:
5515:
5505:
5503:
5494:
5493:
5486:
5478:
5474:
5460:
5458:
5444:
5443:
5439:
5429:
5427:
5412:
5411:
5407:
5394:
5390:
5381:
5377:
5367:
5365:
5357:
5356:
5352:
5344:
5340:
5330:
5328:
5320:
5319:
5315:
5305:
5303:
5295:
5294:
5290:
5274:
5272:
5259:"A Real Number"
5256:
5255:
5246:
5236:
5235:
5231:
5223:
5219:
5206:
5199:
5181:
5180:
5176:
5166:
5164:
5160:
5149:
5145:
5144:
5140:
5135:
5131:
5125:Wayback Machine
5115:
5111:
5105:Wayback Machine
5095:
5091:
5085:Wayback Machine
5075:
5071:
5065:Wayback Machine
5055:
5051:
5043:
5039:
5033:Wayback Machine
5023:
5019:
5013:Wayback Machine
5003:
4999:
4989:
4987:
4986:on June 4, 2016
4973:
4972:
4968:
4958:
4956:
4947:
4946:
4942:
4932:
4930:
4928:
4904:
4903:
4899:
4876:
4875:
4871:
4863:
4856:
4846:
4844:
4843:. pp. 1–11
4836:
4832:
4831:
4827:
4820:
4797:
4796:
4792:
4784:
4780:
4742:
4741:
4737:
4729:
4725:
4673:
4672:
4668:
4653:
4629:
4628:
4624:
4609:
4591:Springer-Verlag
4577:
4576:
4572:
4557:
4529:
4528:
4524:
4509:
4492:
4491:
4487:
4472:
4447:
4446:
4442:
4427:
4399:
4398:
4391:
4379:
4375:
4367:
4358:
4350:
4346:
4297:
4296:
4289:
4281:
4277:
4214:
4213:
4209:
4199:
4197:
4143:
4142:
4138:
4077:
4076:
4072:
4057:
4039:Springer-Verlag
4031:Gromov, Mikhael
4029:
4028:
4019:
4004:
3994:10.1090/gsm/048
3972:
3971:
3967:
3959:
3955:
3940:
3902:
3901:
3892:
3884:
3873:
3839:
3833:Gromov, MikhaĂŻl
3831:
3830:
3826:
3795:10.2307/1970384
3771:
3770:
3766:
3743:
3725:Springer-Verlag
3714:
3713:
3709:
3678:
3660:Springer-Verlag
3645:
3644:
3637:
3629:
3625:
3617:
3613:
3605:
3598:
3582:
3578:
3570:
3566:
3559:
3534:
3533:
3529:
3519:
3517:
3513:
3502:
3494:
3493:
3489:
3479:
3477:
3472:
3471:
3467:
3457:
3455:
3447:
3446:
3442:
3434:
3417:
3413:
3412:
3403:
3385:
3377:
3376:
3372:
3367:
3363:
3355:
3351:
3341:
3339:
3335:
3324:
3318:Kuhn, Harold W.
3316:
3315:
3311:
3301:
3299:
3298:on June 7, 2017
3295:
3288:
3284:
3283:
3279:
3272:
3254:Frängsmyr, Tore
3247:
3246:
3223:
3215:
3211:
3201:
3199:
3188:
3187:
3183:
3173:
3171:
3160:
3159:
3155:
3145:
3143:
3142:. March 6, 2002
3132:
3131:
3127:
3117:
3115:
3100:
3099:
3088:
3078:
3076:
3063:
3062:
3058:
3042:
3041:
3037:
3032:
3006:
2982:, eds. (2002).
2976:Kuhn, Harold W.
2974:
2936:
2914:
2887:
2827:Ockenfels, Axel
2824:
2795:
2773:
2752:
2713:
2699:10.2307/1061553
2682:
2643:
2613:10.2307/1970448
2596:
2551:
2521:10.2307/2372841
2496:
2425:
2395:10.2307/1969989
2378:
2307:
2268:
2262:
2232:10.2307/1969840
2215:
2177:10.2307/1906952
2156:
2126:10.2307/1906951
2109:
2079:10.2307/1969649
2062:
2033:
2003:10.2307/1969529
1986:
1937:
1866:
1862:
1824:10.2307/1907266
1807:
1787:(10): 685–692.
1776:
1772:
1752:
1726:
1715:
1705:
1692:
1683:
1674:
1672:
1653:
1635:
1632:
1623:Louis Nirenberg
1589:Reinhard Selten
1565:
1479:
1449:
1396:and fired from
1366:
1350:Louis Nirenberg
1312:Friedrich Hayek
1288:Keynesian ideas
1254:Reinhard Selten
1223:
1184:
1119:McLean Hospital
1087:
1010:Ennio De Giorgi
1006:Paul Garabedian
995:Nash inequality
971:Louis Nirenberg
963:
873:VladimĂr Ĺ verák
857:fluid mechanics
853:Euler equations
830:Nicolaas Kuiper
807:Euclidean space
779:
743:Euclidean space
727:smooth manifold
708:
676:
601:
588:John S. Kennedy
513:
449:Ennio De Giorgi
406:Louis Nirenberg
398:Reinhard Selten
345:
329:
308:
279:
236:
233:
225:
220:
215:
212: 1963)
203:
199:
196:
180:
158:Nash inequality
138:Nash blowing-up
121:
90:
84:
80:
71:
65:
59:
57:
49:
37:
28:
23:
22:
15:
12:
11:
5:
7835:
7833:
7825:
7824:
7819:
7814:
7809:
7804:
7799:
7794:
7789:
7784:
7779:
7774:
7769:
7764:
7759:
7754:
7749:
7744:
7739:
7734:
7729:
7724:
7719:
7714:
7709:
7704:
7699:
7694:
7689:
7684:
7679:
7674:
7664:
7663:
7657:
7656:
7654:
7653:
7641:
7636:Vijay Vazirani
7633:
7625:
7617:
7605:
7593:
7581:
7569:
7557:
7552:Nimrod Megiddo
7549:
7541:
7529:
7521:
7516:Peter W. Glynn
7512:Søren Asmussen
7509:
7500:Yurii Nesterov
7497:
7489:
7481:
7465:
7457:
7449:
7437:
7425:
7417:
7404:
7402:
7398:
7397:
7395:
7394:
7386:
7381:Fred W. Glover
7378:
7370:
7362:
7354:
7346:
7338:
7326:
7321:Frank Proschan
7314:
7306:
7298:
7290:
7282:
7274:
7266:
7258:
7250:
7234:
7226:
7217:Harold W. Kuhn
7210:
7202:
7190:
7182:
7174:
7169:George Dantzig
7165:
7163:
7159:
7158:
7153:
7151:
7150:
7143:
7136:
7128:
7119:
7118:
7115:
7114:
7112:
7111:
7104:
7102:
7100:
7099:
7092:
7090:
7088:
7087:
7080:
7078:
7076:
7075:
7070:
7063:
7061:
7059:
7058:
7053:
7046:
7044:
7042:
7041:
7034:
7032:
7030:
7029:
7022:
7020:
7018:
7017:
7010:
7008:
7006:
7005:
6998:
6996:
6994:
6993:
6988:
6981:
6979:
6977:
6976:
6969:
6967:
6965:
6964:
6962:Pierre Deligne
6957:
6955:
6953:
6952:
6945:
6943:
6941:
6940:
6933:
6931:
6929:
6928:
6921:
6919:
6917:
6916:
6914:Mikhail Gromov
6909:
6907:
6905:
6904:
6899:
6892:
6890:
6888:
6887:
6880:
6878:
6876:
6875:
6868:
6866:
6864:
6863:
6856:
6854:
6852:
6851:
6849:Isadore Singer
6846:
6844:Michael Atiyah
6839:
6837:
6835:
6834:
6827:
6824:
6823:
6820:
6819:
6813:
6811:
6810:
6803:
6796:
6788:
6779:
6778:
6776:
6775:
6772:Claudia Goldin
6767:
6748:
6741:Joshua Angrist
6729:
6714:
6711:Michael Kremer
6695:
6683:
6675:
6663:
6655:
6647:
6636:Eugene F. Fama
6631:
6619:
6607:
6591:
6579:
6571:
6564:Eric S. Maskin
6560:Leonid Hurwicz
6555:
6547:
6535:
6523:
6511:
6499:
6482:
6480:
6476:
6475:
6473:
6472:
6460:
6452:
6444:
6432:
6420:
6412:
6396:
6384:
6381:Gary S. Becker
6376:
6368:
6352:
6344:
6341:Maurice Allais
6336:
6328:
6320:
6312:
6304:
6296:
6288:
6280:
6272:
6260:
6252:
6249:James E. Meade
6240:
6231:
6229:
6225:
6224:
6222:
6221:
6209:
6197:
6189:
6177:
6169:
6161:
6148:
6146:
6142:
6141:
6132:
6130:
6129:
6122:
6115:
6107:
6099:
6098:
6093:
6090:
6070:
6061:
6057:
6056:
6050:
6049:
6038:
6032:
6020:
5998:
5981:
5965:
5960:
5951:
5944:
5943:External links
5941:
5940:
5939:
5917:
5911:
5894:
5880:
5859:"Introduction"
5850:
5844:
5818:
5815:
5812:
5811:
5785:
5753:
5722:
5697:
5679:"John F. Nash"
5670:
5659:on May 6, 2014
5637:
5626:. May 24, 2015
5609:
5581:
5540:
5529:
5513:
5484:
5472:
5437:
5405:
5388:
5375:
5350:
5338:
5313:
5288:
5244:
5229:
5217:
5197:
5174:
5138:
5129:
5109:
5089:
5069:
5049:
5037:
5017:
4997:
4966:
4940:
4926:
4897:
4869:
4854:
4825:
4818:
4806:Atlantic Books
4790:
4778:
4735:
4723:
4688:(4): 327–338.
4676:Stroock, D. W.
4674:Fabes, E. B.;
4666:
4651:
4622:
4607:
4579:Gilbarg, David
4570:
4555:
4522:
4507:
4485:
4470:
4440:
4425:
4389:
4373:
4356:
4344:
4311:. New Series.
4287:
4275:
4236:(3): 715–742.
4207:
4158:(3): 871–963.
4136:
4091:(2): 377–407.
4070:
4055:
4017:
4002:
3974:Eliashberg, Y.
3965:
3953:
3938:
3912:Springer, Cham
3890:
3871:
3824:
3764:
3741:
3717:Nash Manifolds
3707:
3676:
3635:
3623:
3611:
3596:
3576:
3564:
3557:
3527:
3487:
3465:
3440:
3401:
3370:
3361:
3349:
3309:
3277:
3270:
3221:
3209:
3181:
3153:
3125:
3086:
3056:
3034:
3033:
3031:
3028:
3027:
3026:
3004:
2935:
2934:
2912:
2885:
2822:
2793:
2771:
2750:
2724:(4): 539–564.
2711:
2680:
2641:
2607:(3): 345–355.
2594:
2549:
2507:(4): 931–954.
2494:
2440:(8): 754–758.
2423:
2376:
2322:(5): 320–321.
2305:
2260:
2226:(3): 383–396.
2213:
2171:(1): 141–154.
2154:
2120:(1): 128–140.
2107:
2073:(3): 405–421.
2060:
2048:Zariski, Oscar
2044:Smith, Paul A.
2031:
1997:(2): 286–295.
1984:
1940:Shapley, L. S.
1935:
1869:-person games"
1860:
1818:(2): 155–162.
1805:
1773:
1771:
1768:
1767:
1766:
1724:
1690:
1681:
1651:
1631:
1628:
1627:
1626:
1615:
1609:
1601:2002 class of
1599:
1592:
1577:
1564:
1561:
1519:Academy Awards
1478:
1475:
1448:
1445:
1365:
1362:
1266:Bank of Sweden
1263:
1222:
1219:
1177:social support
1127:hallucinations
1091:mental illness
1086:
1085:Mental illness
1083:
1051:Daniel Stroock
1035:test functions
1031:Neil Trudinger
987:Lars Hörmander
979:Charles Morrey
962:
959:
945:Eduard Zehnder
941:Jacob Schwartz
937:Lars Hörmander
861:Mikhael Gromov
815:Mikhael Gromov
787:Warren Ambrose
778:
775:
707:
704:
675:
672:
611:conference in
600:
597:
576:Richard Duffin
512:
509:
365:
364:
361:
360:
355:
349:
348:
337:
331:
330:
328:
327:
322:
316:
314:
310:
309:
307:
306:
303:
298:
294:
292:
288:
287:
281:
280:
278:
277:
271:
265:
259:
252:
250:
246:
245:
242:
238:
237:
235:
234:
223:
221:
218:
216:
201:
197:
192:
191:
188:
186:
182:
181:
179:
178:
175:
170:
165:
163:Nash's theorem
160:
155:
153:Nash functions
150:
145:
140:
135:
129:
127:
126:Known for
123:
122:
120:
119:
113:
98:
96:
92:
91:
85:
83:(aged 86)
77:
73:
72:
66:
55:
51:
50:
47:
39:
38:
35:
26:
24:
14:
13:
10:
9:
6:
4:
3:
2:
7834:
7823:
7820:
7818:
7815:
7813:
7810:
7808:
7805:
7803:
7800:
7798:
7795:
7793:
7790:
7788:
7785:
7783:
7780:
7778:
7775:
7773:
7770:
7768:
7767:PDE theorists
7765:
7763:
7760:
7758:
7755:
7753:
7750:
7748:
7745:
7743:
7740:
7738:
7735:
7733:
7730:
7728:
7725:
7723:
7720:
7718:
7715:
7713:
7710:
7708:
7705:
7703:
7700:
7698:
7695:
7693:
7690:
7688:
7685:
7683:
7680:
7678:
7675:
7673:
7670:
7669:
7667:
7649:
7645:
7642:
7637:
7634:
7629:
7626:
7621:
7618:
7613:
7612:Jong-Shi Pang
7609:
7606:
7601:
7597:
7594:
7589:
7588:Jorge Nocedal
7585:
7582:
7577:
7573:
7570:
7565:
7561:
7560:Vašek Chvátal
7558:
7553:
7550:
7545:
7542:
7537:
7533:
7530:
7525:
7522:
7517:
7513:
7510:
7505:
7501:
7498:
7493:
7490:
7485:
7482:
7477:
7473:
7472:László Lovász
7469:
7466:
7461:
7460:Robert Aumann
7458:
7453:
7450:
7445:
7441:
7438:
7433:
7429:
7426:
7421:
7418:
7413:
7409:
7406:
7405:
7403:
7399:
7390:
7387:
7382:
7379:
7374:
7373:Peter Whittle
7371:
7366:
7363:
7358:
7355:
7350:
7347:
7342:
7341:Robert Herman
7339:
7334:
7330:
7327:
7322:
7318:
7315:
7310:
7307:
7302:
7299:
7294:
7291:
7286:
7285:Samuel Karlin
7283:
7278:
7277:Kenneth Arrow
7275:
7270:
7267:
7262:
7259:
7254:
7253:Herbert Scarf
7251:
7246:
7242:
7238:
7235:
7230:
7229:Lloyd Shapley
7227:
7222:
7218:
7214:
7211:
7206:
7203:
7198:
7194:
7191:
7186:
7183:
7178:
7175:
7170:
7167:
7166:
7164:
7160:
7156:
7149:
7144:
7142:
7137:
7135:
7130:
7129:
7126:
7110:
7106:
7105:
7103:
7098:
7094:
7093:
7091:
7086:
7082:
7081:
7079:
7074:
7073:Avi Wigderson
7071:
7069:
7068:László Lovász
7065:
7064:
7062:
7057:
7054:
7052:
7048:
7047:
7045:
7040:
7036:
7035:
7033:
7028:
7024:
7023:
7021:
7016:
7012:
7011:
7009:
7004:
7000:
6999:
6997:
6992:
6989:
6987:
6983:
6982:
6980:
6975:
6971:
6970:
6968:
6963:
6959:
6958:
6956:
6951:
6947:
6946:
6944:
6939:
6935:
6934:
6932:
6927:
6923:
6922:
6920:
6915:
6911:
6910:
6908:
6903:
6900:
6898:
6894:
6893:
6891:
6886:
6882:
6881:
6879:
6874:
6870:
6869:
6867:
6862:
6858:
6857:
6855:
6850:
6847:
6845:
6841:
6840:
6838:
6833:
6829:
6828:
6826:
6825:
6821:
6816:
6809:
6804:
6802:
6797:
6795:
6790:
6789:
6786:
6773:
6768:
6765:
6761:
6757:
6753:
6749:
6746:
6742:
6738:
6734:
6730:
6727:
6723:
6719:
6715:
6712:
6708:
6704:
6700:
6696:
6693:
6689:
6684:
6681:
6676:
6673:
6669:
6664:
6661:
6656:
6653:
6648:
6645:
6641:
6637:
6632:
6629:
6625:
6624:Alvin E. Roth
6620:
6617:
6613:
6608:
6605:
6601:
6597:
6592:
6589:
6585:
6584:Elinor Ostrom
6580:
6577:
6572:
6569:
6565:
6561:
6556:
6553:
6548:
6545:
6541:
6536:
6533:
6529:
6524:
6521:
6517:
6512:
6509:
6505:
6500:
6497:
6493:
6489:
6484:
6483:
6481:
6477:
6470:
6466:
6461:
6458:
6453:
6450:
6445:
6442:
6438:
6433:
6430:
6426:
6421:
6418:
6413:
6410:
6406:
6402:
6397:
6394:
6390:
6385:
6382:
6377:
6374:
6369:
6366:
6362:
6358:
6353:
6350:
6345:
6342:
6337:
6334:
6329:
6326:
6321:
6318:
6313:
6310:
6309:Richard Stone
6305:
6302:
6301:GĂ©rard Debreu
6297:
6294:
6289:
6286:
6281:
6278:
6273:
6270:
6266:
6261:
6258:
6253:
6250:
6246:
6241:
6238:
6233:
6232:
6230:
6226:
6219:
6215:
6210:
6207:
6203:
6202:Gunnar Myrdal
6198:
6195:
6190:
6187:
6183:
6182:John R. Hicks
6178:
6175:
6174:Simon Kuznets
6170:
6167:
6162:
6159:
6158:Jan Tinbergen
6155:
6154:Ragnar Frisch
6150:
6149:
6147:
6143:
6139:
6135:
6128:
6123:
6121:
6116:
6114:
6109:
6108:
6105:
6096:
6089:
6088:
6084:
6076:
6075:
6068:
6064:
6058:
6053:
6047:
6042:
6039:
6036:
6033:
6031:
6028:
6024:
6021:
6017:
6013:
6009:
6008:
6003:
5999:
5996:
5992:
5988:
5985:
5982:
5979:
5978:Robert Wright
5975:
5974:
5969:
5966:
5964:
5961:
5959:
5955:
5952:
5950:
5947:
5946:
5942:
5937:
5933:
5932:
5927:
5923:
5918:
5914:
5908:
5904:
5900:
5895:
5891:
5887:
5883:
5877:
5873:
5870:. Princeton:
5869:
5865:
5860:
5855:
5854:Nasar, Sylvia
5851:
5847:
5841:
5837:
5832:
5831:
5825:
5824:Nasar, Sylvia
5821:
5820:
5816:
5800:
5796:
5789:
5786:
5773:
5769:
5768:
5763:
5757:
5754:
5742:
5738:
5734:
5733:
5726:
5723:
5711:
5707:
5701:
5698:
5686:
5685:
5680:
5674:
5671:
5658:
5654:
5653:
5648:
5641:
5638:
5625:
5624:
5619:
5613:
5610:
5598:
5597:
5592:
5585:
5582:
5578:
5576:
5570:
5558:
5554:
5550:
5544:
5541:
5538:
5533:
5530:
5526:
5522:
5517:
5514:
5502:
5498:
5491:
5489:
5485:
5481:
5476:
5473:
5469:
5457:
5456:
5451:
5447:
5446:Nasar, Sylvia
5441:
5438:
5425:
5421:
5420:The Telegraph
5416:
5409:
5406:
5402:
5398:
5392:
5389:
5385:
5379:
5376:
5364:
5360:
5354:
5351:
5347:
5342:
5339:
5327:
5323:
5317:
5314:
5302:
5298:
5292:
5289:
5285:
5283:
5270:
5266:
5265:
5260:
5253:
5251:
5249:
5245:
5240:
5233:
5230:
5226:
5221:
5218:
5214:
5210:
5204:
5202:
5198:
5193:
5189:
5188:Yahoo! Health
5185:
5178:
5175:
5159:
5155:
5154:Nobel Seminar
5148:
5142:
5139:
5133:
5130:
5126:
5122:
5119:
5113:
5110:
5106:
5102:
5099:
5093:
5090:
5086:
5082:
5079:
5073:
5070:
5066:
5062:
5059:
5053:
5050:
5047:, Chapter 39.
5046:
5041:
5038:
5034:
5030:
5027:
5021:
5018:
5014:
5010:
5007:
5001:
4998:
4985:
4981:
4977:
4970:
4967:
4955:
4951:
4944:
4941:
4929:
4923:
4919:
4914:
4913:
4907:
4901:
4898:
4894:
4890:
4889:
4884:
4880:
4873:
4870:
4866:
4861:
4859:
4855:
4842:
4835:
4829:
4826:
4821:
4819:1-84354-100-9
4815:
4811:
4807:
4803:
4802:
4794:
4791:
4787:
4782:
4779:
4773:
4768:
4764:
4760:
4756:
4752:
4751:
4746:
4739:
4736:
4733:, Chapter 31.
4732:
4727:
4724:
4719:
4715:
4711:
4707:
4703:
4699:
4695:
4691:
4687:
4683:
4682:
4677:
4670:
4667:
4662:
4658:
4654:
4652:981-02-2883-X
4648:
4644:
4640:
4637:
4633:
4626:
4623:
4618:
4614:
4610:
4608:3-540-41160-7
4604:
4600:
4596:
4592:
4588:
4584:
4580:
4574:
4571:
4566:
4562:
4558:
4556:0-8218-2783-9
4552:
4548:
4544:
4540:
4536:
4535:Loss, Michael
4532:
4526:
4523:
4518:
4514:
4510:
4508:0-521-79321-1
4504:
4500:
4496:
4489:
4486:
4481:
4477:
4473:
4467:
4463:
4459:
4455:
4451:
4444:
4441:
4436:
4432:
4428:
4426:0-521-36136-2
4422:
4418:
4414:
4410:
4406:
4402:
4401:Davies, E. B.
4396:
4394:
4390:
4386:
4382:
4377:
4374:
4371:, Chapter 30.
4370:
4365:
4363:
4361:
4357:
4353:
4348:
4345:
4340:
4336:
4332:
4328:
4323:
4318:
4315:(1): 65–222.
4314:
4310:
4309:
4304:
4300:
4294:
4292:
4288:
4284:
4279:
4276:
4271:
4267:
4263:
4259:
4254:
4249:
4244:
4239:
4235:
4231:
4230:
4225:
4221:
4217:
4211:
4208:
4195:
4191:
4187:
4183:
4179:
4175:
4171:
4166:
4161:
4157:
4153:
4152:
4147:
4140:
4137:
4132:
4128:
4124:
4120:
4116:
4112:
4108:
4104:
4099:
4094:
4090:
4086:
4085:
4080:
4074:
4071:
4066:
4062:
4058:
4056:3-540-12177-3
4052:
4048:
4044:
4040:
4036:
4032:
4026:
4024:
4022:
4018:
4013:
4009:
4005:
4003:0-8218-3227-1
3999:
3995:
3991:
3987:
3983:
3979:
3975:
3969:
3966:
3962:
3957:
3954:
3949:
3945:
3941:
3935:
3931:
3927:
3922:
3917:
3913:
3909:
3905:
3904:Gromov, Misha
3899:
3897:
3895:
3891:
3888:, Chapter 20.
3887:
3882:
3880:
3878:
3876:
3872:
3867:
3863:
3859:
3855:
3851:
3847:
3846:
3838:
3834:
3828:
3825:
3820:
3816:
3812:
3808:
3804:
3800:
3796:
3792:
3788:
3784:
3783:
3778:
3774:
3768:
3765:
3760:
3756:
3752:
3748:
3744:
3742:3-540-18102-4
3738:
3734:
3730:
3726:
3722:
3718:
3711:
3708:
3703:
3699:
3695:
3691:
3687:
3683:
3679:
3677:3-540-64663-9
3673:
3669:
3665:
3661:
3657:
3653:
3649:
3642:
3640:
3636:
3632:
3627:
3624:
3620:
3615:
3612:
3609:, Chapter 15.
3608:
3603:
3601:
3597:
3593:
3589:
3585:
3580:
3577:
3573:
3568:
3565:
3560:
3558:0-19-512895-8
3554:
3550:
3546:
3541:
3540:
3531:
3528:
3512:
3508:
3501:
3497:
3496:Nash, John F.
3491:
3488:
3475:
3469:
3466:
3454:
3450:
3444:
3441:
3433:
3429:
3425:
3424:
3416:
3410:
3408:
3406:
3402:
3397:
3393:
3392:
3384:
3380:
3374:
3371:
3365:
3362:
3358:
3353:
3350:
3334:
3330:
3323:
3319:
3313:
3310:
3294:
3287:
3281:
3278:
3273:
3267:
3263:
3260:. Stockholm:
3259:
3255:
3251:
3244:
3242:
3240:
3238:
3236:
3234:
3232:
3230:
3228:
3226:
3222:
3218:
3213:
3210:
3198:
3197:
3192:
3185:
3182:
3169:
3168:
3163:
3157:
3154:
3141:
3140:
3135:
3129:
3126:
3113:
3112:
3107:
3103:
3102:Nasar, Sylvia
3097:
3095:
3093:
3091:
3087:
3074:
3070:
3066:
3060:
3057:
3052:
3051:
3046:
3039:
3036:
3029:
3023:
3019:
3015:
3011:
3007:
3005:0-691-09527-2
3001:
2997:
2993:
2989:
2985:
2981:
2980:Nasar, Sylvia
2977:
2973:
2972:
2971:
2969:
2965:
2961:
2957:
2953:
2949:
2945:
2941:
2931:
2927:
2923:
2919:
2915:
2909:
2905:
2901:
2897:
2893:
2892:
2886:
2882:
2878:
2873:
2868:
2863:
2858:
2854:
2850:
2846:
2842:
2841:
2836:
2832:
2828:
2823:
2819:
2815:
2811:
2807:
2803:
2799:
2794:
2790:
2786:
2782:
2778:
2774:
2768:
2764:
2760:
2756:
2751:
2747:
2743:
2739:
2735:
2731:
2727:
2723:
2719:
2718:
2712:
2708:
2704:
2700:
2696:
2692:
2688:
2687:
2681:
2677:
2673:
2669:
2665:
2661:
2657:
2653:
2649:
2648:
2642:
2638:
2634:
2630:
2626:
2622:
2618:
2614:
2610:
2606:
2602:
2601:
2595:
2591:
2587:
2583:
2579:
2574:
2569:
2565:
2561:
2560:
2555:
2550:
2546:
2542:
2538:
2534:
2530:
2526:
2522:
2518:
2514:
2510:
2506:
2502:
2501:
2495:
2491:
2487:
2483:
2479:
2474:
2469:
2465:
2461:
2456:
2451:
2447:
2443:
2439:
2435:
2434:
2429:
2424:
2420:
2416:
2412:
2408:
2404:
2400:
2396:
2392:
2388:
2384:
2383:
2377:
2373:
2369:
2365:
2361:
2356:
2351:
2347:
2343:
2338:
2333:
2329:
2325:
2321:
2317:
2316:
2311:
2306:
2302:
2298:
2294:
2290:
2286:
2282:
2278:
2277:Coombs, C. H.
2274:
2273:Thrall, R. M.
2266:
2265:Milnor, J. W.
2261:
2257:
2253:
2249:
2245:
2241:
2237:
2233:
2229:
2225:
2221:
2220:
2214:
2210:
2206:
2202:
2198:
2194:
2190:
2186:
2182:
2178:
2174:
2170:
2166:
2165:
2160:
2155:
2151:
2147:
2143:
2139:
2135:
2131:
2127:
2123:
2119:
2115:
2114:
2108:
2104:
2100:
2096:
2092:
2088:
2084:
2080:
2076:
2072:
2068:
2067:
2061:
2057:
2053:
2049:
2045:
2041:
2037:
2032:
2028:
2024:
2020:
2016:
2012:
2008:
2004:
2000:
1996:
1992:
1991:
1985:
1981:
1977:
1973:
1969:
1965:
1961:
1957:
1953:
1949:
1948:Tucker, A. W.
1945:
1941:
1938:Nash, J. F.;
1936:
1932:
1928:
1924:
1920:
1915:
1910:
1906:
1902:
1897:
1892:
1888:
1884:
1880:
1876:
1875:
1870:
1861:
1857:
1853:
1849:
1845:
1841:
1837:
1833:
1829:
1825:
1821:
1817:
1813:
1812:
1806:
1802:
1798:
1794:
1790:
1786:
1782:
1781:
1775:
1774:
1769:
1763:
1757:
1756:cite magazine
1749:
1745:
1741:
1737:
1733:
1729:
1725:
1722:
1718:
1712:
1708:
1700:
1696:
1691:
1687:
1682:
1671:
1667:
1663:
1662:
1657:
1652:
1648:
1644:
1643:
1638:
1634:
1633:
1629:
1624:
1620:
1616:
1614:
1610:
1608:
1604:
1600:
1597:
1593:
1590:
1586:
1585:John Harsanyi
1582:
1578:
1575:
1574:Carlton Lemke
1571:
1567:
1566:
1562:
1560:
1558:
1557:
1552:
1548:
1544:
1540:
1536:
1532:
1528:
1524:
1520:
1516:
1515:Russell Crowe
1512:
1508:
1504:
1503:
1498:
1494:
1492:
1488:
1483:
1476:
1474:
1472:
1471:
1465:
1462:
1458:
1454:
1446:
1444:
1443:as an adult.
1442:
1441:schizophrenia
1438:
1434:
1430:
1426:
1422:
1418:
1414:
1410:
1406:
1401:
1399:
1395:
1391:
1387:
1382:
1380:
1375:
1371:
1368:In 1951, the
1364:Personal life
1363:
1361:
1359:
1355:
1351:
1346:
1344:
1339:
1337:
1332:
1328:
1324:
1320:
1315:
1313:
1309:
1305:
1301:
1298:to implement
1297:
1293:
1289:
1284:
1282:
1278:
1273:
1269:
1267:
1261:
1259:
1255:
1251:
1250:John Harsanyi
1247:
1242:
1240:
1236:
1227:
1220:
1217:
1213:
1209:
1207:
1200:
1197:
1193:
1190:
1180:
1178:
1174:
1168:
1166:
1162:
1157:
1155:
1151:
1148:
1147:antipsychotic
1144:
1140:
1136:
1135:schizophrenia
1132:
1128:
1124:
1120:
1115:
1113:
1109:
1105:
1100:
1096:
1092:
1084:
1082:
1080:
1076:
1071:
1067:
1063:
1059:
1054:
1052:
1048:
1044:
1040:
1036:
1032:
1028:
1024:
1020:
1016:
1011:
1007:
1002:
1000:
996:
992:
988:
984:
980:
976:
972:
968:
960:
957:
952:
950:
946:
942:
938:
934:
930:
926:
922:
916:
912:
910:
906:
902:
898:
894:
890:
884:
882:
878:
874:
870:
869:Stefan MĂĽller
866:
862:
858:
854:
850:
846:
841:
839:
835:
831:
827:
823:
818:
816:
812:
808:
804:
800:
796:
792:
788:
784:
776:
774:
772:
768:
764:
760:
759:Michael Artin
756:
755:Nash manifold
752:
751:Nash function
748:
744:
740:
736:
732:
731:diffeomorphic
728:
725:
721:
717:
713:
705:
703:
701:
697:
693:
689:
685:
681:
673:
671:
669:
665:
661:
657:
654:In 2011, the
652:
650:
646:
642:
638:
634:
630:
626:
622:
614:
610:
605:
598:
596:
594:
589:
585:
581:
577:
572:
570:
566:
562:
558:
554:
550:
546:
542:
538:
532:
530:
526:
522:
518:
510:
508:
506:
505:Russell Crowe
502:
498:
494:
493:
488:
483:
481:
480:schizophrenia
477:
472:
470:
466:
462:
458:
454:
450:
446:
442:
438:
434:
430:
426:
422:
418:
413:
411:
407:
403:
399:
395:
394:John Harsanyi
391:
387:
383:
379:
375:
371:
362:
359:
356:
354:
350:
343:
342:
338:
336:
332:
326:
323:
321:
318:
317:
315:
311:
304:
302:
299:
296:
295:
293:
289:
286:
282:
275:
272:
269:
266:
263:
260:
257:
254:
253:
251:
247:
243:
239:
217:
195:
190:
189:
187:
183:
176:
174:
171:
169:
166:
164:
161:
159:
156:
154:
151:
149:
146:
144:
141:
139:
136:
134:
131:
130:
128:
124:
117:
114:
111:
107:
103:
100:
99:
97:
93:
88:
78:
74:
69:
64:June 13, 1928
56:
52:
45:
40:
33:
30:
19:
7620:Adrian Lewis
7432:Cyrus Derman
7401:2000–present
7349:Lajos Takacs
7333:Philip Wolfe
7309:Richard Karp
7269:Jack Edmonds
7261:Ralph Gomory
7193:John F. Nash
7192:
7003:Andrew Wiles
6985:
6902:Jacques Tits
6756:Ben Bernanke
6745:Guido Imbens
6722:Paul Milgrom
6707:Esther Duflo
6660:Angus Deaton
6576:Paul Krugman
6479:2001–present
6404:
6245:Bertil Ohlin
6081:
6078:1994
6072:
6016:Liberty Fund
6005:
5971:
5929:
5898:
5890:j.ctt1c3gwz0
5867:
5834:. New York:
5829:
5817:Bibliography
5802:. Retrieved
5798:
5788:
5776:. Retrieved
5772:the original
5765:
5756:
5745:, retrieved
5741:the original
5731:
5725:
5713:. Retrieved
5709:
5700:
5688:. Retrieved
5682:
5673:
5661:. Retrieved
5657:the original
5650:
5640:
5628:. Retrieved
5621:
5612:
5600:. Retrieved
5594:
5584:
5574:
5572:
5567:– via
5563:February 22,
5561:. Retrieved
5557:the original
5543:
5532:
5524:
5516:
5504:. Retrieved
5500:
5480:Nasar (2011)
5475:
5466:
5459:. Retrieved
5455:The Guardian
5453:
5440:
5428:. Retrieved
5419:
5408:
5401:The Guardian
5400:
5391:
5378:
5366:. Retrieved
5363:abelprize.no
5362:
5353:
5341:
5329:. Retrieved
5325:
5316:
5304:. Retrieved
5301:china.org.cn
5300:
5291:
5281:
5280:
5273:. Retrieved
5262:
5232:
5220:
5212:
5192:the original
5187:
5177:
5165:. Retrieved
5158:the original
5153:
5141:
5132:
5112:
5092:
5072:
5052:
5040:
5020:
5000:
4990:September 1,
4988:. Retrieved
4984:the original
4969:
4957:. Retrieved
4953:
4943:
4931:. Retrieved
4911:
4906:Ebert, Roger
4900:
4886:
4872:
4865:Nasar (2011)
4845:. Retrieved
4828:
4800:
4793:
4786:Nasar (2011)
4781:
4754:
4748:
4738:
4726:
4685:
4679:
4669:
4643:10.1142/3302
4631:
4625:
4586:
4573:
4538:
4525:
4494:
4488:
4449:
4443:
4404:
4376:
4347:
4312:
4306:
4278:
4243:math/0402287
4233:
4227:
4210:
4198:. Retrieved
4194:the original
4155:
4149:
4139:
4088:
4082:
4073:
4034:
3977:
3968:
3956:
3907:
3849:
3848:. 2e SĂ©rie.
3843:
3827:
3789:(1): 82–99.
3786:
3780:
3767:
3716:
3710:
3651:
3626:
3614:
3579:
3567:
3538:
3530:
3518:. Retrieved
3511:the original
3506:
3498:(May 1950).
3495:
3490:
3480:February 25,
3478:. Retrieved
3468:
3456:. Retrieved
3443:
3427:
3421:
3395:
3389:
3379:Milnor, John
3373:
3364:
3359:, Chapter 2.
3352:
3340:. Retrieved
3312:
3300:. Retrieved
3293:the original
3280:
3257:
3219:, Chapter 1.
3212:
3200:. Retrieved
3194:
3184:
3172:. Retrieved
3165:
3156:
3144:. Retrieved
3137:
3128:
3116:. Retrieved
3109:
3077:. Retrieved
3073:the original
3059:
3048:
3038:
2983:
2937:
2894:. New York:
2890:
2844:
2838:
2801:
2797:
2758:
2721:
2715:
2690:
2684:
2654:(1): 31–38.
2651:
2645:
2604:
2598:
2563:
2557:
2504:
2498:
2437:
2431:
2389:(1): 20–63.
2386:
2380:
2319:
2313:
2283:. New York:
2280:
2223:
2217:
2168:
2164:Econometrica
2162:
2117:
2113:Econometrica
2111:
2070:
2064:
2051:
2040:Hille, Einar
1994:
1988:
1951:
1881:(1): 48–49.
1878:
1872:
1815:
1811:Econometrica
1809:
1784:
1778:
1731:
1673:. Retrieved
1660:
1641:
1617:2015 –
1611:2010 –
1594:1999 –
1579:1994 –
1568:1978 –
1556:Training Day
1554:
1523:Best Picture
1521:, including
1500:
1497:Sylvia Nasar
1495:
1486:
1484:
1480:
1468:
1466:
1450:
1402:
1383:
1378:
1367:
1347:
1340:
1316:
1296:central bank
1285:
1274:
1270:
1248:(along with
1243:
1232:
1214:
1210:
1202:
1198:
1194:
1181:
1169:
1160:
1158:
1116:
1088:
1070:Fields Medal
1055:
1047:Eugene Fabes
1027:James Serrin
1015:JĂĽrgen Moser
1003:
964:
954:
921:JĂĽrgen Moser
918:
914:
908:
892:
885:
864:
842:
833:
819:
780:
709:
677:
664:cryptography
653:
618:
573:
533:
514:
499:directed by
490:
487:Sylvia Nasar
484:
473:
469:open problem
414:
373:
369:
368:
339:
313:Institutions
301:Cryptography
284:
81:(2015-05-23)
79:May 23, 2015
29:
7677:2015 deaths
7672:1928 births
7492:Frank Kelly
7107:2024
7095:2023
7083:2022
7066:2021
7049:2020
7037:2019
7025:2018
7013:2017
7001:2016
6984:2015
6974:Yakov Sinai
6972:2014
6960:2013
6948:2012
6938:John Milnor
6936:2011
6924:2010
6912:2009
6895:2008
6883:2007
6871:2006
6859:2005
6842:2004
6830:2003
6668:Oliver Hart
6652:Jean Tirole
6449:Amartya Sen
6285:James Tobin
5976:article by
5963:IDEAS/RePEc
5804:October 10,
5715:October 10,
5690:October 10,
5116:Nash, John
5096:Nash, John
5076:Nash, John
5056:Nash, John
5024:Nash, John
5004:Nash, John
4959:November 3,
4808:. pp.
4200:October 11,
3146:January 22,
2693:(1): 4–11.
2566:: 487–497.
1944:Kuhn, H. W.
1675:October 11,
1489:, 1983, by
1413:El Salvador
1304:price index
1258:game theory
1150:medications
1106:lecture at
1043:heat kernel
999:Elias Stein
977:. In 1938,
826:codimension
803:submanifold
763:Barry Mazur
747:polynomials
674:Game theory
621:game theory
609:game theory
378:game theory
297:Mathematics
177:Ideal money
7666:Categories
7420:Ward Whitt
7357:Egon Balas
7213:David Gale
7015:Yves Meyer
6815:Abel Prize
6737:David Card
6692:Paul Romer
5747:October 9,
5430:August 29,
5306:January 7,
5225:Nash 2002a
5045:Nasar 1998
4731:Nasar 1998
4369:Nasar 1998
4339:0499.58003
4220:Šverák, V.
4216:MĂĽller, S.
4165:1608.08301
3921:1506.05408
3886:Nasar 1998
3866:1080.37051
3819:0127.13401
3759:0629.58002
3702:0912.14023
3631:Nash 1952b
3619:Nash 1952a
3607:Nasar 1998
3588:Nash 1950b
3584:Nash 1950a
3547:. p.
3507:PhD thesis
3357:Nasar 1998
3217:Nasar 1998
3174:August 30,
3069:Abel Prize
3030:References
3022:1033.01024
2930:1351.00027
2818:1293.91015
2789:1184.91147
2746:1178.91019
2676:0880.14010
2637:0173.09202
2590:0113.19405
2545:0096.06902
2490:0078.08704
2419:0070.38603
2372:0064.17503
2301:0058.13904
2256:0058.37703
2209:0050.15104
2159:Shubik, M.
2150:0050.14102
2103:0048.38501
2027:0045.08202
1980:0041.25602
1931:0036.01104
1856:1202.91122
1670:Transcript
1642:60 Minutes
1619:Abel Prize
1511:Ron Howard
1461:Abel Prize
1354:Abel Prize
1256:) for his
1131:asociality
1075:Klaus Roth
660:encryption
501:Ron Howard
410:Abel Prize
274:Abel Prize
60:1928-06-13
7162:1975–1999
6926:John Tate
6861:Peter Lax
6817:laureates
6228:1976–2000
6145:1969–1975
6134:Laureates
5368:August 2,
4788:, p. 251.
4718:189774501
4385:Nash 1958
4381:Nash 1957
4352:Nash 1966
4283:Nash 1956
4190:119267892
4098:1202.1751
3961:Nash 1954
3777:Mazur, B.
3773:Artin, M.
3694:118839789
3592:Nash 1953
3572:Nash 1951
3342:April 17,
3167:USA Today
3139:USA Today
2201:154750660
1848:153422092
1740:1027-488X
1433:delusions
1241:in 1999.
1123:delusions
1099:communist
1079:René Thom
1066:Peter Lax
799:isometric
702:in 1994.
615:, Germany
549:chemistry
443:with the
374:John Nash
305:Economics
95:Education
7742:Illeists
7504:Yinyu Ye
5987:Archived
5856:(2002).
5826:(1998).
5778:July 16,
5506:June 17,
5424:Archived
5269:Archived
5121:Archived
5101:Archived
5081:Archived
5061:Archived
5029:Archived
5009:Archived
4933:July 10,
4908:(2002).
4867:, p. 32.
4585:(2001).
4539:Analysis
4537:(2001).
4403:(1989).
4301:(1982).
4270:55855605
4222:(2003).
4033:(1986).
3835:(2003).
3650:(1998).
3458:July 30,
3432:Archived
3381:(1998).
3333:Archived
3202:March 2,
2896:Springer
2881:23175792
2833:(2012).
2482:16590082
2364:16589673
2050:(eds.).
1950:(eds.).
1923:16588946
1801:51640174
1695:Riz Khan
1533:and the
1356:by King
1173:recovery
1095:paranoia
735:zero set
523:for the
453:elliptic
423:and the
241:Children
6136:of the
6055:Awards
6018:. 2016.
5956:at the
5866:(ed.).
5630:May 25,
5602:May 24,
5461:July 9,
5331:May 25,
5275:May 28,
5167:May 29,
5107:. 2002.
5087:. 2002.
5035:. 2002.
4847:June 1,
4759:Bibcode
4710:0855753
4690:Bibcode
4661:1465184
4617:1814364
4565:1817225
4517:1840042
4480:2569498
4435:0990239
4331:0656198
4262:1983780
4182:3866888
4131:2693636
4123:3090182
4103:Bibcode
4065:0864505
4012:1909245
3948:3470099
3858:2026895
3811:0176482
3803:1970384
3751:0904479
3686:1659509
3520:May 24,
3302:June 5,
3256:(ed.).
3079:May 27,
3014:1888522
2922:3470099
2872:3528550
2849:Bibcode
2810:2642155
2781:2605109
2738:2510706
2707:1061553
2668:1381967
2629:0205266
2621:1970448
2582:0149094
2537:0100158
2529:2372841
2509:Bibcode
2464:0089986
2442:Bibcode
2411:0075639
2403:1969989
2346:0071081
2324:Bibcode
2293:3363439
2248:0065993
2240:1969840
2193:3363438
2185:1906952
2142:0053471
2134:1906951
2095:0050928
2087:1969649
2019:0043432
2011:1969529
1972:0039223
1914:1063129
1905:0031701
1883:Bibcode
1840:0035977
1832:1907266
1748:3409221
1721:YouTube
1711:YouTube
1605:of the
1603:Fellows
1545:at the
1537:at the
1529:at the
1429:boarder
1421:atheist
1037:in the
919:Due to
879:in the
733:to the
613:Cologne
232:
224:
219:
214:
202:
198:
185:Spouses
7651:(2023)
7639:(2022)
7631:(2021)
7623:(2020)
7615:(2019)
7603:(2018)
7591:(2017)
7579:(2016)
7567:(2015)
7555:(2014)
7547:(2013)
7539:(2012)
7527:(2011)
7519:(2010)
7507:(2009)
7495:(2008)
7487:(2007)
7479:(2006)
7463:(2005)
7455:(2004)
7447:(2003)
7435:(2002)
7423:(2001)
7415:(2000)
7392:(1999)
7384:(1998)
7376:(1997)
7368:(1996)
7360:(1995)
7352:(1994)
7344:(1993)
7336:(1992)
7324:(1991)
7312:(1990)
7304:(1989)
7296:(1988)
7288:(1987)
7280:(1986)
7272:(1985)
7264:(1984)
7256:(1983)
7248:(1982)
7232:(1981)
7224:(1980)
7208:(1979)
7200:(1978)
7188:(1977)
7180:(1976)
7172:(1975)
6770:2023:
6686:2018:
6678:2017:
6666:2016:
6658:2015:
6650:2014:
6634:2013:
6622:2012:
6610:2011:
6594:2010:
6582:2009:
6574:2008:
6558:2007:
6550:2006:
6538:2005:
6526:2004:
6514:2003:
6502:2002:
6486:2001:
6463:2000:
6455:1999:
6447:1998:
6435:1997:
6423:1996:
6415:1995:
6399:1994:
6387:1993:
6379:1992:
6371:1991:
6355:1990:
6347:1989:
6339:1988:
6331:1987:
6323:1986:
6315:1985:
6307:1984:
6299:1983:
6291:1982:
6283:1981:
6275:1980:
6263:1979:
6255:1978:
6243:1977:
6235:1976:
6212:1975:
6200:1974:
6192:1973:
6180:1972:
6172:1971:
6164:1970:
6152:1969:
5909:
5888:
5878:
5842:
5663:May 6,
4924:
4816:
4750:Nature
4716:
4708:
4659:
4649:
4615:
4605:
4563:
4553:
4515:
4505:
4478:
4468:
4433:
4423:
4337:
4329:
4268:
4260:
4188:
4180:
4129:
4121:
4063:
4053:
4010:
4000:
3946:
3936:
3864:
3856:
3817:
3809:
3801:
3757:
3749:
3739:
3700:
3692:
3684:
3674:
3555:
3268:
3118:May 6,
3020:
3012:
3002:
2928:
2920:
2910:
2879:
2869:
2816:
2808:
2787:
2779:
2769:
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2666:
2635:
2627:
2619:
2588:
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2473:528534
2470:
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2417:
2409:
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2370:
2362:
2355:528087
2352:
2344:
2299:
2291:
2254:
2246:
2238:
2207:
2199:
2191:
2183:
2148:
2140:
2132:
2101:
2093:
2085:
2025:
2017:
2009:
1978:
1970:
1929:
1921:
1911:
1903:
1854:
1846:
1838:
1830:
1799:
1746:
1738:
1716:Part 2
1706:Part 1
1621:(with
1583:(with
1572:(with
1563:Awards
1477:Legacy
1277:strike
1029:, and
943:, and
724:closed
388:, and
346:(1950)
344:
335:Thesis
291:Fields
276:(2015)
270:(1996)
264:(1994)
258:(1978)
249:Awards
89:, U.S.
70:, U.S.
6030:(PDF)
5973:Slate
5970:2002
5886:JSTOR
5862:. In
5264:Slate
5161:(PDF)
5150:(PDF)
5067:2002.
5015:2002.
4837:(PDF)
4810:87–88
4714:S2CID
4266:S2CID
4238:arXiv
4186:S2CID
4160:arXiv
4127:S2CID
4093:arXiv
3916:arXiv
3840:(PDF)
3799:JSTOR
3690:S2CID
3514:(PDF)
3503:(PDF)
3435:(PDF)
3418:(PDF)
3386:(PDF)
3336:(PDF)
3325:(PDF)
3296:(PDF)
3289:(PDF)
3252:. In
2960:1952b
2944:1950b
2940:1950a
2703:JSTOR
2617:JSTOR
2525:JSTOR
2399:JSTOR
2236:JSTOR
2197:S2CID
2181:JSTOR
2130:JSTOR
2083:JSTOR
2007:JSTOR
1844:S2CID
1828:JSTOR
1797:S2CID
1513:with
1447:Death
1411:from
801:to a
226:(
222:
204:(
200:
118:(PhD)
6752:2022
6733:2021
6718:2020
6699:2019
5907:ISBN
5876:ISBN
5840:ISBN
5806:2022
5780:2014
5749:2019
5717:2022
5692:2022
5665:2014
5632:2015
5604:2015
5565:2011
5508:2020
5463:2012
5432:2016
5370:2022
5333:2021
5308:2017
5277:2015
5169:2015
4992:2017
4961:2018
4935:2008
4922:ISBN
4849:2015
4814:ISBN
4647:ISBN
4603:ISBN
4551:ISBN
4503:ISBN
4466:ISBN
4421:ISBN
4202:2022
4051:ISBN
3998:ISBN
3934:ISBN
3737:ISBN
3672:ISBN
3553:ISBN
3522:2015
3482:2012
3460:2022
3344:2008
3304:2015
3266:ISBN
3204:2013
3176:2008
3148:2008
3120:2014
3081:2015
3000:ISBN
2968:1958
2964:1956
2952:1953
2948:1951
2908:ISBN
2877:PMID
2767:ISBN
2478:PMID
2360:PMID
1919:PMID
1762:link
1736:ISSN
1677:2022
1587:and
1407:, a
1252:and
1152:and
1077:and
1049:and
871:and
789:, a
761:and
753:and
623:and
561:M.S.
559:and
557:B.S.
455:and
396:and
210:div.
76:Died
54:Born
5993:to
5399:,
4980:PBS
4767:doi
4755:553
4698:doi
4639:doi
4595:doi
4458:doi
4413:doi
4335:Zbl
4317:doi
4248:doi
4234:157
4170:doi
4156:188
4111:doi
4089:193
4043:doi
3990:doi
3926:doi
3862:Zbl
3815:Zbl
3791:doi
3755:Zbl
3729:doi
3698:Zbl
3664:doi
3018:Zbl
2992:doi
2926:Zbl
2900:doi
2867:PMC
2857:doi
2845:109
2814:Zbl
2785:Zbl
2742:Zbl
2726:doi
2695:doi
2672:Zbl
2656:doi
2633:Zbl
2609:doi
2586:Zbl
2568:doi
2541:Zbl
2517:doi
2486:Zbl
2468:PMC
2450:doi
2415:Zbl
2391:doi
2368:Zbl
2350:PMC
2332:doi
2297:Zbl
2252:Zbl
2228:doi
2205:Zbl
2173:doi
2146:Zbl
2122:doi
2099:Zbl
2075:doi
2023:Zbl
1999:doi
1976:Zbl
1960:doi
1927:Zbl
1909:PMC
1891:doi
1852:Zbl
1820:doi
1789:doi
1719:on
1709:on
1647:CBS
1455:in
1417:MIT
1384:In
1290:of
1262:the
855:in
805:of
797:is
783:MIT
741:on
729:is
639:of
629:MIT
7668::
7646:/
7610:/
7598:/
7586:/
7574:/
7562:/
7534:/
7514:/
7502:/
7474:/
7470:/
7442:/
7430:/
7410:/
7331:/
7319:/
7243:/
7239:/
7219:/
7215:/
7195:/
6762:/
6758:/
6754::
6743:/
6739:/
6735::
6724:/
6720::
6709:/
6705:/
6701::
6690:/
6670:/
6642:/
6638:/
6626:/
6614:/
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6586:/
6566:/
6562:/
6542:/
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6518:/
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6494:/
6490:/
6467:/
6439:/
6427:/
6407:/
6403:/
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6247:/
6216:/
6204:/
6184:/
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6085:,
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5934:,
5928:,
5924:,
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5838:.
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5593:.
5571:.
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5499:.
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5465:.
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