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460:
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The importance of
Bateman's paper lies not in its specific details but in its general approach. Bateman, perhaps influenced by Hilbert's point of view in mathematical physics as a whole, was the first to see that the basic ideas of electromagnetism were equivalent to statements regarding integrals of
365:
His first paper, "The determination of curves satisfying given conditions", was published when he was still an undergraduate student. He studied in Göttingen and Paris, and taught at the
University of Liverpool and University of Manchester. After moving to the US in 1910, he taught at
795:
a corpuscle has a kind of tube or thread attached to it. When the motion of the corpuscle changes a wave or kink runs along the thread; the energy radiated from the corpuscle spreads out in all directions but is concentrated round the thread so that the thread acts as a guiding
938:
471:
is a mathematical model describing abundances and activities in a decay chain as a function of time, based on the decay rates and initial abundances. The model was formulated by Ernest
Rutherford in 1905 and the analytical solution was provided by Harry Bateman in 1910.
931:
says that "there is no other work which presents the analytical tools and the results achieved by means of them equally completely and with as many original contributions" and also "advanced students and research workers alike will read it with great benefit".
743:
539:, statements for which Grassmann's calculus of extension on differentiable manifolds, Poincaré's theories of Stokesian transformations and integral invariants, and Lie's theory of continuous groups could be fruitfully applied.
783:
Harry
Bateman wrote two significant articles on the history of applied mathematics: "The influence of tidal theory upon the development of mathematics", and "Hamilton's work in dynamics and its influence on modern thought".
1212:
753:. As Murnaghan says, this book "is unique and characteristic of the man. Into less than 160 small pages is crowded a wealth of information which would take an expert year to digest." The following year he published a
1951:
634:
424:
Harry
Bateman married Ethel Horner in 1912 and had a son named Harry Graham, who died as a child. Later, the couple adopted a daughter named Joan Margaret. He died on his way to New York in 1946 of
1356:
Bateman, H. (1910, June). The solution of a system of differential equations occurring in the theory of radioactive transformations. In Proc. Cambridge Philos. Soc (Vol. 15, No. pt V, pp. 423–427)
416:. The professorship that came nearest to aeronautics was occupied by a shy, meticulous Englishman, Dr. Harry Bateman. He was an applied mathematician from Cambridge who worked in the field of
861:
When a large number of "aethereal fields" are superposed their singular curves indicate the structure of an "aether" which is capable of supporting a certain type of electromagnetic field.
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in geometry, he achieved his Ph.D., prior to which he had already published more than 60 papers, including some of his celebrated papers. In 1917, he took up his permanent position at the
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1956:
1931:
1906:
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says, "Like his contemporaries and immediate predecessors among
Cambridge mathematicians of the first decade of this century ... Bateman was thoroughly trained in both
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in 1935 and was the
Society's Gibbs Lecturer for 1943. He was on his way to New York to receive an award from the Institute of Aeronautical Science when he died of
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to the integral equation in 1906. He submitted a detailed report on integral equations in 1911 to the
British association for the advancement of science.
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as a double integral, but in his footnote he says, "Mr. H. Bateman, to whom I submitted the question, has obtained a simpler solution in the form"
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was called in as an advisor for a projected aeronautics laboratory at
Caltech and later gave this appraisal of Bateman:
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1407:"The Conformal Transformations of a Space of Four Dimensions and Their Applications to Geometrical Optics"
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have dimensions inflated beyond four, something not found in
Bateman's work. Bateman went on to study the
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The Conformal Transformations of a Space of Four Dimensions and their Applications to Geometrical Optics
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The Mathematical Analysis of Electrical and Optical Wave-motion on the Basis of Maxwell's Equations
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738:{\displaystyle f(y)={\frac {1}{\pi }}\int _{-y}^{\infty }{\frac {F'(-z)}{\sqrt {z+x}}}dz}
338:, England, on 29 May 1882. He first gained an interest in mathematics during his time at
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Genius and the establishment at a polite standstill in the modern university: Bateman
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An idiot's fugitive essays on science: methods, criticism, training, circumstances
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Bateman received many honours for his contributions, including election to the
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1578:(1943). "The Influence of Tidal Theory upon the Development of Mathematics".
1478:"Report on the history and present state of the theory of integral equations"
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After his death, his notes on higher transcendental functions were edited by
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396:, and retained an equal interest in both throughout his scientific career."
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1618:(1944). "Hamilton's work in dynamics and its influence on modern thought".
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with an article "The structure of the Aether". His starting point is the
791:(p. 131), he describes the charged-corpuscle trajectory as follows:
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322:. Bateman made a broad survey of applied differential equations in his
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420:. He seemed to know everything but did nothing important. I liked him.
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2. 1903. The determination of curves satisfying given conditions.
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at the California Institute of Technology is named in his honour.
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invariant. Moving to the US, he obtained a Ph.D. in geometry with
1328:
Masters of theory: Cambridge and the rise of mathematical physics
629:{\displaystyle 2\int _{0}^{\infty }f(y-\zeta ^{2})\,d\zeta =F(y)}
1482:
Report of the British Association for the Advancement of Science
751:
The Mathematical Analysis of Electrical and Optical Wave-motion
511:
of such transformations has 15 parameters and extends both the
408:
382:, which was then known as the "Throop Polytechnic Institute".
109:
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History and Present State of the Theory of Integral Equations
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Introduction to the Classical Theory of Particles and Fields
789:
Mathematical Analysis of Electrical and Optical Wave-motion
1952:
Members of the United States National Academy of Sciences
1561:
10.1175/1520-0493(1915)43<163:srrotm>2.0.co;2
1044:
Selected Papers on Mathematical Trends in Control Theory
463:
Quantity calculation with the Bateman function for 241Pu
1373:"The Transformation of the Electrodynamical Equations"
995:
Partial Differential Equations of Mathematical Physics
925:
Partial Differential Equations of Mathematical Physics
762:
Partial differential equations of mathematical physics
826:
648:
560:
997:, Cambridge University Press 1932, Dover 1944, 1959.
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The Transformation of the Electrodynamical Equations
444:. In 1908, together they came up with the idea of a
800:This figure of speech is not to be confused with a
326:in 1943 titled, "The control of an elastic fluid".
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1232:Proceedings of the Cambridge Philosophical Society
966:The Quartic Curve and its Inscribed Configurations
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1000:1933: (with Albert A. Bennett, William E. Milne)
877:in 1930. He was elected as vice-president of the
1531:"Some recent researches on the motion of fluids"
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1107:Obituary Notices of Fellows of the Royal Society
990:, Longmans, Green, London, Reprint Chelsea 1966.
1060:, 3 vols., McGraw Hill 1953/1955, Krieger 1981.
1002:Numerical Integration of Differential Equations
859:
793:
770:Numerical integration of differential equations
551:in his 1910 paper solved an integral equation
532:
526:In evaluating this paper, one of his students,
404:
278:(29 May 1882 – 21 January 1946) was an English
1501:Proceedings of the London Mathematical Society
1412:Proceedings of the London Mathematical Society
1377:Proceedings of the London Mathematical Society
944:Proceedings of the London Mathematical Society
1957:Members of the American Philosophical Society
1809:Bulletin of the American Mathematical Society
1710:Bulletin of the American Mathematical Society
1648:Bulletin of the American Mathematical Society
1184:Bulletin of the American Mathematical Society
1036:Bulletin of the American Mathematical Society
342:. In his final year, he won a scholarship to
8:
1932:People educated at Manchester Grammar School
519:. Bateman called the elements of this group
436:In 1907, Harry Bateman was lecturing at the
358:(tied with P.E. Marrack) and by winning the
1907:California Institute of Technology faculty
1747:"Instructorships in Mathematics 2008–2009"
1147:Journal of the London Mathematical Society
846:{\displaystyle \mathbf {E} +i\mathbf {B} }
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306:and became a professor of mathematics at
1021:Report of the Committee on Hydrodynamics
475:For his part, in 1910 Bateman published
1866:MacTutor History of Mathematics Archive
1841:Academy of Sciences Biographical Memoir
1497:"On the diffraction of a solitary wave"
1093:
873:of London in 1928, and election to the
440:together with another senior wrangler,
887:Harry Bateman Research Instructorships
354:. He distinguished himself in 1903 as
452:) which involved an extension of the
7:
1897:Alumni of Trinity College, Cambridge
1104:(1947). "Harry Bateman. 1882–1946".
412:] had only a minor interest in
1285:Kosyakov, Boris Pavlovich (2007).
687:
574:
380:California Institute of Technology
308:California Institute of Technology
210:California Institute of Technology
14:
1804:"Bateman on Mathematical Physics"
1705:"The control of an elastic fluid"
1927:Johns Hopkins University faculty
1291:. Berlin / Heidelberg, Germany:
1250:Quarterly of Applied Mathematics
839:
828:
1947:Deaths from coronary thrombosis
1823:10.1090/s0002-9904-1933-05561-1
1783:Higher Transcendental Functions
1724:10.1090/s0002-9904-1945-08413-4
1662:10.1090/S0002-9904-1915-02631-5
1439:Truesdell III, Clifford Ambrose
1334:The University of Chicago Press
1198:10.1090/S0002-9904-1948-08955-8
1058:Higher Transcendental Functions
1032:The Control of an Elastic Fluid
970:American Journal of Mathematics
543:Bateman was the first to apply
1787:McGraw-Hill Book Company, Inc.
923:In a review of Bateman's book
867:American Philosophical Society
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521:spherical wave transformations
184:Partial differential equations
16:British-American mathematician
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1850:Mathematics Genealogy Project
1640:"The Structure of the Aether"
1581:National Mathematics Magazine
1068:Tables of Integral Transforms
1050:& Robert Kalaba editors).
879:American Mathematical Society
352:Cambridge Mathematical Tripos
346:. Bateman studied with coach
44:1931 drawing of Harry Bateman
1922:Fellows of the Royal Society
1495:Lamb, Horace (1910-02-10) .
1070:, 2 vols., McGraw Hill 1954.
875:National Academy of Sciences
764:. Bateman is also author of
446:conformal group of spacetime
296:conformal group of spacetime
225:Its Inscribed Configurations
1217:A Cambridge Alumni Database
1213:"Bateman, Harry (BTMN900H)"
749:In 1914, Bateman published
1973:
1937:Scientists from Manchester
1779:Tricomi, Francesco Giacomo
1332:. Chicago, Illinois, USA:
1219:. University of Cambridge.
1175:Murnaghan, Francis Dominic
1082:Bateman Manuscript Project
1064:Bateman Manuscript Project
1054:Bateman Manuscript Project
981:Cambridge University Press
406:In 1926 Cal Tech [
344:Trinity College, Cambridge
122:Bateman Manuscript Project
93:Trinity College, Cambridge
18:
1902:Bryn Mawr College faculty
1301:10.1007/978-3-540-40934-2
1272:Little, Brown and Company
1248:(1946). "Harry Bateman".
1179:"Harry Bateman 1882–1946"
1144:(1946). "Harry Bateman".
915:, and published in 1953.
869:in 1924, election to the
340:Manchester Grammar School
266:
168:
37:
1871:University of St Andrews
1324:Warwick, Andrew (2003).
1156:10.1112/jlms/s1-21.4.300
467:In nuclear physics, the
448:(now usually denoted as
432:Scientific contributions
372:Johns Hopkins University
206:Johns Hopkins University
126:Bateman–Burgers equation
106:Johns Hopkins University
1513:10.1112/plms/s2-8.1.422
1389:10.1112/plms/s2-8.1.223
804:, for the universes in
438:University of Liverpool
314:to students going into
1912:English mathematicians
1539:Monthly Weather Review
1425:10.1112/plms/s2-7.1.70
1150:. s1-21 (4): 300–310.
1120:10.1098/rsbm.1947.0020
988:Differential equations
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772:. Bateman studied the
758:Differential Equations
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499:is proportional to an
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374:. There, working with
284:differential equations
223:The Quartic Curve and
21:Harry Bateman (artist)
1266:; Edson, Lee (1967).
964:1914: (dissertation)
848:
818:electromagnetic field
760:, and sometime later
740:
631:
507:. The transformation
481:. He showed that the
462:
1857:Robertson, Edmund F.
1775:Oberhettinger, Fritz
1449:. pp. 403–438.
1336:. pp. 416–424.
1264:von Kármán, Theodore
913:Francesco G. Tricomi
855:Alfred-Marie Liénard
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495:which preserves the
394:mathematical physics
348:Robert Alfred Herman
334:Bateman was born in
288:mathematical physics
282:with a specialty in
261:Albert George Wilson
19:For the artist, see
1855:O'Connor, John J.;
1621:Scripta Mathematica
1552:1915MWRv...43..163B
1445:. Berlin, Germany:
1268:The Wind and Beyond
958:British Association
902:Fritz Oberhettinger
883:coronary thrombosis
810:luminiferous aether
691:
578:
442:Ebenezer Cunningham
426:coronary thrombosis
400:Theodore von Kármán
350:to prepare for the
320:Theodore von Karman
300:Maxwell's equations
292:Ebenezer Cunningham
257:Howard P. Robertson
138:Bateman polynomials
1038:51(9):601–646 via
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780:started to study.
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528:Clifford Truesdell
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310:. There he taught
253:Clifford Truesdell
180:Geometrical optics
82:Milford, Utah, USA
1917:Fluid dynamicists
1681:www.nasonline.org
1310:978-3-540-40933-5
1246:Temple Bell, Eric
1027:, Washington D.C.
1017:Francis Murnaghan
802:string in physics
774:Burgers' equation
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545:Laplace transform
501:orthogonal matrix
497:Maxwell equations
368:Bryn Mawr College
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202:Bryn Mawr College
170:Scientific career
142:Bateman transform
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32:Harry Bateman
29:
26:
22:
1864:
1813:
1807:
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1750:. Retrieved
1741:
1714:
1708:
1700:
1695:
1684:. Retrieved
1680:
1671:
1652:
1646:
1635:
1630:
1624:(10): 51–63.
1619:
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1588:(1): 14–26.
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987:
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942:
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922:
919:Publications
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788:
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776:long before
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525:
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423:
407:
405:
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384:
376:Frank Morley
364:
333:
316:aerodynamics
304:Frank Morley
272:
271:
243:Frank Morley
221:
198:Institutions
169:
77:(1946-01-21)
25:
1892:1946 deaths
1887:1882 births
1383:: 223–264.
1013:Hugh Dryden
905: [
816:form of an
778:Jan Burgers
549:Horace Lamb
414:aeronautics
60:29 May 1882
1881:Categories
1752:2012-01-30
1686:2023-08-23
1191:: 88–103.
1088:References
336:Manchester
64:Manchester
56:1882-05-29
1419:: 70–89.
1128:179356952
947:7: 70–89.
707:−
688:∞
680:−
676:∫
670:π
609:ζ
593:ζ
589:−
575:∞
566:∫
530:, wrote:
505:conformal
490:spacetime
370:and then
330:Biography
88:Education
66:, England
1802:(1933).
1703:(1945).
1638:(1915).
1529:(1915).
1476:(1911).
1441:(1984).
1405:(1909).
1371:(1910).
1293:Springer
1177:(1948).
1076:See also
814:bivector
755:textbook
700:′
515:and the
503:, hence
483:Jacobian
362:(1905).
298:leaving
1848:at the
1733:0014548
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1548:Bibcode
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290:. With
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986:1918:
975:1915:
972:36(4).
950:1910:
937:1908:
911:, and
885:. The
486:matrix
450:C(1,3)
231:(1913)
229:
217:Thesis
176:Fields
164:(1943)
159:(1905)
154:(1903)
148:Awards
1643:(PDF)
1598:JSTOR
1534:(PDF)
1124:S2CID
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796:wire.
509:group
488:of a
318:with
1451:ISBN
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1381:s2-8
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392:and
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50:Born
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1657:doi
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