1922:"The Black–Scholes equation changed the world by creating a booming quadrillion-dollar industry; its generalisations, used unintelligently by a small coterie of bankers, changed the world again by contributing to a multitrillion-dollar financial crash whose ever more malign effects, now extending to entire national economics, are still being felt worldwide."
1124:
1905:"birth to new branches of science". Stewart provides the "historical background" to explain "how the equation was anticipated", how people then "generalized the ideas and formalized the results". He highlights the ways in which these equations continue to influence our lives in the twenty-first century.
1849:
1904:
review called the book, the "latest spell" by the "master storyteller", the "Honorary Wizard of the Unseen
University"—the "master storyteller"—who is able to "entertain" the reader with Greek symbols. The reviewer said Stewart focused on how equations have changed the world, as new equations gave
1912:
journal, described
Stewart as an "experienced writer" whose intended audience is the "general literate reader"—not mathematicians. The reviewer, a mathematician, said that Stewart was "generally successful in getting the essential points across in a nontechnical way without too much distortion.
777:
44:
1007:
1286:
1353:
887:
481:
1024:
1706:
1943:
provided the "mathematical justification for the trading"—and therefore—"one ingredient in a rich stew of financial irresponsibility, political ineptitude, perverse incentives and lax regulation" that contributed to the
1517:
1878:
said that
Stewart was a "genius in the way he conveys his excitement and sense of wonder across" who has a "valuable grasp" of "what it takes to make equations interesting" and "to make science cool."
668:
1690:
191:
1216:
1178:
554:
363:
1599:
1395:
603:
292:
903:
1221:
1291:
794:
1447:
652:
1119:{\displaystyle \rho \left({\frac {\partial \mathbf {v} }{\partial t}}+\mathbf {v} \cdot \nabla \mathbf {v} \right)=-\nabla p+\nabla \cdot \mathbf {T} +\mathbf {f} }
384:
2410:
1844:{\displaystyle {\frac {1}{2}}\sigma ^{2}S^{2}{\frac {\partial ^{2}V}{\partial S^{2}}}+rS{\frac {\partial V}{\partial S}}+{\frac {\partial V}{\partial t}}-rV=0}
1913:
However, he personally would have preferred a less "discursive style" but acknowledged that
Stewart's writing was appropriate for his intended audience.
490:
1463:
2180:
2091:
2062:
2035:
2010:
1969:
1864:
said that the book provided "clear, cogent explanations of how the equations work without burdening the reader with cumbersome derivations."
137:
1895:
1871:
magazine review described the book as a "history of the human species told in equations" by the "finest living math popularizer".
1945:
2400:
17:
772:{\displaystyle \mathbf {\Phi } (x)={\frac {1}{\sqrt {2\pi \sigma ^{2}}}}\mathrm {e} ^{-{\frac {(x-\mu )^{2}}{2\sigma ^{2}}}}}
2206:
1909:
2266:
Shehab, Omar (17 March 2014). "Review of in pursuit of the unknown: 17 equations that changed the world by Ian
Stewart".
2420:
1620:
1530:
1362:
2361:
1408:
1016:
183:
179:
57:
1699:
1183:
1145:
497:
2415:
2405:
1960:
309:
1538:
204:
1948:. He clarified that "the equation itself wasn't the real problem", but its abuse in the financial industry.
1885:
journal review said that
Stewart writes with "easy prose, which never fails to both educate and entertain."
1456:
187:
2136:
2111:
1940:
1133:
199:. In the book, Stewart traces the history of the role of mathematics in human history, beginning with the
1369:
1002:{\displaystyle {\hat {f}}(\xi )=\int _{-\infty }^{\infty }f(x)\ e^{-2\pi \mathrm {i} x\xi }\mathrm {d} x}
570:
1281:{\displaystyle \nabla \times \mathbf {E} =-{\frac {1}{c}}{\frac {\partial \mathbf {H} }{\partial t}}\,;}
1348:{\displaystyle \nabla \times \mathbf {H} ={\frac {1}{c}}{\frac {\partial \mathbf {E} }{\partial t}}\,.}
244:
882:{\displaystyle {\frac {\partial ^{2}u}{\partial t^{2}}}=c^{2}{\frac {\partial ^{2}u}{\partial x^{2}}}}
612:
203:(Pythagorean equation) to the equation that transformed twenty-first century financial markets, the
661:
237:
200:
2228:
Nahin, Paul J. (31 March 2012). "In
Pursuit of the Unknown: 17 Equations That Changed the World".
2291:
2153:
1526:
1404:
2369:
2332:
2283:
2245:
2087:
2058:
2031:
2006:
1975:
1965:
1416:
896:
132:
2079:
619:
476:{\displaystyle {\frac {\mathrm {d} f}{\mathrm {d} t}}=\lim _{h\to 0}{\frac {f(t+h)-f(t)}{h}}}
2322:
2275:
2237:
43:
2165:
2310:
1137:
563:
2394:
786:
85:
2295:
1612:
1608:
2052:
196:
90:
75:
2311:"The Universe in Zero Words and in Pursuit of the Unknown–Review of Two Books"
1979:
1900:
376:
2373:
2336:
2287:
2249:
2279:
301:
1512:{\displaystyle i\hbar {\frac {\partial }{\partial t}}\Psi ={\hat {H}}\Psi }
372:
2241:
2327:
2084:
Roots to research: a vertical development of mathematical problems
2105:
2103:
1891:
described the book as an "excellent and deeply researched book."
2207:"In Pursuit of the Unknown: 17 Equations That Changed the World"
2181:"In Pursuit of the Unknown: 17 Equations That Changed the World"
1961:
Significant
Figures: the lives and work of great mathematicians
2054:
In
Pursuit of the Unknown: 17 Equations That Changed the World
175:
In
Pursuit of the Unknown: 17 Equations That Changed the World
18:
In Pursuit of the Unknown: 17 Equations That Changed the World
2261:
2259:
2355:
2353:
2362:"The mathematical equation that caused the banks to crash"
215:
Seventeen equations are described in the book as follows:
2086:. American Mathematical Society Bookstore. p. 63.
148:
Cows in the Maze: And Other Mathematical Explorations
2003:
Cows in the Maze: And Other Mathematical Explorations
1709:
1623:
1541:
1466:
1419:
1372:
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906:
797:
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387:
312:
247:
178:is a 2012 nonfiction book by British mathematician
157:
143:
131:
123:
115:
107:
97:
81:
71:
63:
53:
1843:
1685:{\displaystyle x_{t+1}=kx_{t}\left(1-x_{t}\right)}
1684:
1593:
1511:
1441:
1389:
1347:
1280:
1210:
1172:
1118:
1001:
881:
771:
646:
597:
548:
475:
357:
286:
27:2012 nonfiction book by mathematician Ian Stewart
416:
1920:
1211:{\displaystyle \nabla \cdot \mathbf {H} =0\,;}
1173:{\displaystyle \nabla \cdot \mathbf {E} =0\,;}
549:{\displaystyle F=G{\frac {m_{1}m_{2}}{d^{2}}}}
8:
2315:Notices of the American Mathematical Society
32:
358:{\displaystyle \log {xy}=\log {x}+\log {y}}
42:
31:
2326:
2112:"The 17 equations that changed the world"
1806:
1783:
1765:
1747:
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1724:
1710:
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1622:
1594:{\displaystyle H=-\sum _{x}p(x)\log p(x)}
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1540:
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991:
978:
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823:
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217:
1993:
1470:
2309:Folland, Gerald B. (1 December 2012).
2161:
2151:
2057:. New York: Basic Books. p. 352.
1964:. New York: Basic Books. p. 303.
7:
2411:Books by Ian Stewart (mathematician)
2078:Judith D. Sally; Paul Sally (2007).
162:Symmetry: A Very Short Introduction
2028:Symmetry: A Very Short Introduction
1896:Association for Computing Machinery
1390:{\displaystyle \mathrm {d} S\geq 0}
598:{\displaystyle \mathrm {i} ^{2}=-1}
36:17 Equations That Changed the World
1958:Stewart, Ian; Basic Books (2017).
1817:
1809:
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1744:
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1322:
1295:
1265:
1255:
1225:
1187:
1149:
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1069:
1049:
1039:
992:
979:
944:
939:
863:
849:
816:
802:
716:
576:
402:
392:
25:
2360:Stewart, Ian (12 February 2012).
287:{\displaystyle a^{2}+b^{2}=c^{2}}
2080:"Chapter 3: Pythagorean triples"
1326:
1302:
1259:
1232:
1194:
1156:
1112:
1104:
1073:
1062:
1043:
673:
1019:(for conservation of momentum)
2110:Kiersz, Andy (31 March 2016).
1588:
1582:
1570:
1564:
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958:
952:
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919:
913:
740:
727:
683:
677:
464:
458:
449:
437:
423:
1:
2179:Cosh, Colby (26 March 2012).
1910:American Mathematical Society
1908:The review in Notices of the
613:Euler's formula for polyhedra
304:(logarithm product identity)
1939:, Stewart described how the
1363:Second law of thermodynamics
1946:financial crisis of 2007–08
2437:
2138:In Pursuit of the Unknown
1928:In Pursuit of the Unknown
41:
33:In Pursuit of the Unknown
1442:{\displaystyle E=mc^{2}}
564:Square root of minus one
2280:10.1145/2596583.2596587
1409:Mass–energy equivalence
1017:Navier–Stokes equations
647:{\displaystyle F-E+V=2}
491:Newton's law of gravity
2401:2012 non-fiction books
1941:Black-Scholes equation
1933:
1845:
1700:Black–Scholes equation
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1349:
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1212:
1174:
1120:
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883:
773:
648:
599:
550:
477:
359:
288:
2051:Stewart, Ian (2012).
2026:Stewart, Ian (2013).
2001:Stewart, Ian (2010).
1846:
1687:
1596:
1514:
1444:
1392:
1350:
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1213:
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649:
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551:
478:
360:
289:
1876:New York Book Review
1707:
1621:
1539:
1464:
1457:Schrödinger equation
1417:
1370:
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1146:
1025:
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669:
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571:
498:
385:
310:
245:
2421:Profile Books books
1134:Maxwell's equations
948:
662:Normal distribution
375:(definition of the
238:Pythagorean theorem
219:
205:Black–Scholes model
201:Pythagorean theorem
38:
1841:
1682:
1591:
1560:
1527:Information theory
1509:
1439:
1387:
1345:
1278:
1208:
1170:
1116:
999:
931:
879:
789:(one dimensional)
769:
644:
595:
546:
473:
430:
355:
284:
218:
48:First edition (US)
2416:Mathematics books
2406:Basic Books books
2242:10.1063/PT.3.1720
2093:978-0-8218-4403-8
2064:978-1-84668-531-6
2037:978-0-19965-198-6
2012:978-0-19-956207-7
1971:978-0-465-09612-1
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897:Fourier transform
877:
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765:
712:
711:
544:
471:
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410:
171:
170:
138:978-1-84668-531-6
108:Publication place
37:
16:(Redirected from
2428:
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2368:. The Observer.
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2116:Business Insider
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2016:
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1889:Business Insider
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2209:. Review. 2012
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2011:
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1862:Kirkus Reviews
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1138:Gaussian units
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2277:
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2262:
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2256:
2251:
2247:
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2239:
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2231:
2230:Physics Today
2224:
2221:
2208:
2202:
2199:
2186:
2182:
2175:
2172:
2167:
2155:
2140:
2139:
2132:
2129:
2117:
2113:
2106:
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2100:
2095:
2089:
2085:
2081:
2074:
2071:
2066:
2060:
2056:
2055:
2047:
2044:
2039:
2033:
2029:
2022:
2019:
2014:
2008:
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1997:
1994:
1987:
1981:
1977:
1973:
1967:
1963:
1962:
1956:
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1951:
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1938:
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1923:
1916:
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1911:
1906:
1903:
1902:
1897:
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1890:
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1883:Physics Today
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1803:
1797:
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1777:
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1762:
1753:
1748:
1735:
1731:
1725:
1721:
1715:
1712:
1703:
1701:
1698:
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1678:
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1664:
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1657:
1651:
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1632:
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1625:
1617:
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1607:
1604:
1603:
1585:
1579:
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1573:
1567:
1561:
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1548:
1545:
1542:
1535:
1532:
1528:
1525:
1522:
1521:
1497:
1491:
1482:
1467:
1460:
1458:
1455:
1452:
1451:
1434:
1430:
1426:
1423:
1420:
1413:
1410:
1406:
1403:
1400:
1399:
1384:
1381:
1378:
1366:
1364:
1361:
1358:
1357:
1342:
1335:
1314:
1311:
1306:
1298:
1275:
1268:
1247:
1244:
1239:
1236:
1228:
1205:
1201:
1198:
1190:
1167:
1163:
1160:
1152:
1142:
1139:
1135:
1132:
1129:
1128:
1108:
1100:
1094:
1091:
1085:
1082:
1078:
1066:
1058:
1052:
1032:
1028:
1021:
1018:
1015:
1012:
1011:
996:
986:
983:
975:
972:
969:
965:
955:
949:
936:
932:
928:
922:
910:
900:
898:
895:
892:
891:
871:
867:
858:
853:
840:
836:
832:
824:
820:
811:
806:
791:
788:
787:Wave equation
785:
782:
781:
759:
755:
751:
744:
736:
733:
730:
721:
706:
702:
698:
695:
691:
686:
680:
665:
663:
660:
657:
656:
641:
638:
635:
632:
629:
626:
623:
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614:
611:
608:
607:
592:
589:
586:
581:
567:
565:
562:
559:
558:
539:
535:
528:
524:
518:
514:
507:
504:
501:
494:
492:
489:
486:
485:
468:
461:
455:
452:
446:
443:
440:
434:
426:
420:
412:
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396:
381:
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371:
368:
367:
351:
347:
344:
341:
337:
333:
330:
327:
323:
320:
316:
313:
306:
303:
300:
297:
296:
279:
275:
271:
266:
262:
258:
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146:
142:
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103:February 2012
102:
96:
92:
87:
86:Profile Books
84:
80:
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66:
62:
59:
56:
52:
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40:
30:
19:
2377:. Retrieved
2366:The Guardian
2365:
2340:. Retrieved
2318:
2314:
2304:
2274:(1): 11–15.
2271:
2267:
2236:(9): 52–53.
2233:
2229:
2223:
2211:. Retrieved
2201:
2189:. Retrieved
2184:
2174:
2142:. Retrieved
2137:
2131:
2119:. Retrieved
2115:
2083:
2073:
2053:
2046:
2027:
2021:
2002:
1996:
1959:
1937:17 Equations
1936:
1934:
1927:
1921:
1907:
1899:
1893:
1888:
1887:
1882:
1880:
1875:
1873:
1868:
1866:
1861:
1860:
1613:logistic map
1609:Chaos theory
214:
174:
173:
172:
161:
147:
29:
2162:|work=
1901:SIGACT News
197:Basic Books
180:Ian Stewart
91:Basic Books
76:Non-fiction
58:Ian Stewart
2395:Categories
1988:References
1980:1030547312
1405:Relativity
377:derivative
302:Logarithms
2374:0029-7712
2337:0002-9920
2321:(11): 1.
2288:0163-5700
2250:0031-9228
2185:Maclean's
2164:ignored (
2154:cite book
1869:Maclean's
1827:−
1818:∂
1810:∂
1795:∂
1787:∂
1759:∂
1745:∂
1722:σ
1665:−
1577:
1553:∑
1549:−
1507:Ψ
1501:^
1489:Ψ
1480:∂
1476:∂
1471:ℏ
1382:≥
1333:∂
1323:∂
1299:×
1296:∇
1266:∂
1256:∂
1240:−
1229:×
1226:∇
1191:⋅
1188:∇
1153:⋅
1150:∇
1101:⋅
1098:∇
1089:∇
1086:−
1070:∇
1067:⋅
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1040:∂
1029:ρ
987:ξ
976:π
970:−
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940:∞
937:−
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914:^
864:∂
850:∂
817:∂
803:∂
756:σ
737:μ
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722:−
703:σ
699:π
674:Φ
627:−
590:−
453:−
424:→
348:
334:
317:
229:Equation
119:Hardcover
82:Publisher
2379:29 April
2342:29 April
2296:30631119
2213:29 April
2191:29 April
2187:. Review
2144:29 April
2121:29 April
1952:See also
1930:2012:310
1925:—
373:Calculus
64:Language
1857:Reviews
211:Content
67:English
2372:
2335:
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2248:
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2009:
1978:
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1917:Themes
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164:(2013)
152:
150:(2010)
54:Author
2292:S2CID
190:
188:CMath
186:
124:Pages
72:Genre
2381:2020
2370:ISSN
2344:2020
2333:ISSN
2284:ISSN
2246:ISSN
2215:2020
2193:2020
2166:help
2146:2020
2123:2020
2088:ISBN
2059:ISBN
2032:ISBN
2007:ISBN
1976:OCLC
1966:ISBN
1894:The
1881:The
1874:The
1867:The
192:FIMA
133:ISBN
93:(US)
88:(UK)
2323:doi
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