1911:"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."
1113:
1894:"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.
1838:
1893:
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
1901:
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.
766:
33:
996:
1275:
1342:
876:
470:
1013:
1695:
1932:
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
1506:
1867:
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."
657:
1679:
180:
1205:
1167:
543:
352:
1588:
1384:
592:
281:
892:
1210:
1280:
783:
1436:
641:
1108:{\displaystyle \rho \left({\frac {\partial \mathbf {v} }{\partial t}}+\mathbf {v} \cdot \nabla \mathbf {v} \right)=-\nabla p+\nabla \cdot \mathbf {T} +\mathbf {f} }
373:
2399:
1833:{\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}
1902:
However, he personally would have preferred a less "discursive style" but acknowledged that
Stewart's writing was appropriate for his intended audience.
479:
1452:
2169:
2080:
2051:
2024:
1999:
1958:
1853:
said that the book provided "clear, cogent explanations of how the equations work without burdening the reader with cumbersome derivations."
126:
1884:
1860:
magazine review described the book as a "history of the human species told in equations" by the "finest living math popularizer".
1934:
2389:
761:{\displaystyle \mathbf {\Phi } (x)={\frac {1}{\sqrt {2\pi \sigma ^{2}}}}\mathrm {e} ^{-{\frac {(x-\mu )^{2}}{2\sigma ^{2}}}}}
2195:
1898:
2255:
Shehab, Omar (17 March 2014). "Review of in pursuit of the unknown: 17 equations that changed the world by Ian
Stewart".
2409:
1609:
1519:
1351:
2350:
1397:
1005:
172:
168:
46:
1688:
1172:
1134:
486:
2404:
2394:
1949:
298:
1527:
193:
1937:. He clarified that "the equation itself wasn't the real problem", but its abuse in the financial industry.
1874:
journal review said that
Stewart writes with "easy prose, which never fails to both educate and entertain."
1445:
176:
2125:
2100:
1929:
1122:
188:. In the book, Stewart traces the history of the role of mathematics in human history, beginning with the
1358:
991:{\displaystyle {\hat {f}}(\xi )=\int _{-\infty }^{\infty }f(x)\ e^{-2\pi \mathrm {i} x\xi }\mathrm {d} x}
559:
1270:{\displaystyle \nabla \times \mathbf {E} =-{\frac {1}{c}}{\frac {\partial \mathbf {H} }{\partial t}}\,;}
1337:{\displaystyle \nabla \times \mathbf {H} ={\frac {1}{c}}{\frac {\partial \mathbf {E} }{\partial t}}\,.}
233:
871:{\displaystyle {\frac {\partial ^{2}u}{\partial t^{2}}}=c^{2}{\frac {\partial ^{2}u}{\partial x^{2}}}}
601:
192:(Pythagorean equation) to the equation that transformed twenty-first century financial markets, the
650:
226:
189:
2217:
Nahin, Paul J. (31 March 2012). "In
Pursuit of the Unknown: 17 Equations That Changed the World".
2280:
2142:
1515:
1393:
2358:
2321:
2272:
2234:
2076:
2047:
2020:
1995:
1964:
1954:
1405:
885:
121:
2068:
608:
465:{\displaystyle {\frac {\mathrm {d} f}{\mathrm {d} t}}=\lim _{h\to 0}{\frac {f(t+h)-f(t)}{h}}}
2311:
2264:
2226:
32:
2154:
2299:
1126:
552:
2383:
775:
74:
2284:
1601:
1597:
2041:
185:
79:
64:
2300:"The Universe in Zero Words and in Pursuit of the Unknown–Review of Two Books"
1968:
1889:
365:
2362:
2325:
2276:
2238:
2268:
290:
1501:{\displaystyle i\hbar {\frac {\partial }{\partial t}}\Psi ={\hat {H}}\Psi }
361:
2230:
2316:
2073:
Roots to research: a vertical development of mathematical problems
2094:
2092:
1880:
described the book as an "excellent and deeply researched book."
2196:"In Pursuit of the Unknown: 17 Equations That Changed the World"
2170:"In Pursuit of the Unknown: 17 Equations That Changed the World"
1950:
Significant
Figures: the lives and work of great mathematicians
2043:
In
Pursuit of the Unknown: 17 Equations That Changed the World
164:
In
Pursuit of the Unknown: 17 Equations That Changed the World
2250:
2248:
2344:
2342:
2351:"The mathematical equation that caused the banks to crash"
204:
Seventeen equations are described in the book as follows:
2075:. American Mathematical Society Bookstore. p. 63.
137:
Cows in the Maze: And Other Mathematical Explorations
1992:
Cows in the Maze: And Other Mathematical Explorations
1698:
1612:
1530:
1455:
1408:
1361:
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1213:
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1137:
1016:
895:
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660:
611:
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489:
376:
301:
236:
167:is a 2012 nonfiction book by British mathematician
146:
132:
120:
112:
104:
96:
86:
70:
60:
52:
42:
1832:
1674:{\displaystyle x_{t+1}=kx_{t}\left(1-x_{t}\right)}
1673:
1582:
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1430:
1378:
1336:
1269:
1199:
1161:
1107:
990:
870:
760:
635:
586:
537:
464:
346:
275:
16:2012 nonfiction book by mathematician Ian Stewart
405:
1909:
1200:{\displaystyle \nabla \cdot \mathbf {H} =0\,;}
1162:{\displaystyle \nabla \cdot \mathbf {E} =0\,;}
538:{\displaystyle F=G{\frac {m_{1}m_{2}}{d^{2}}}}
8:
2304:Notices of the American Mathematical Society
21:
347:{\displaystyle \log {xy}=\log {x}+\log {y}}
31:
20:
2315:
2101:"The 17 equations that changed the world"
1795:
1772:
1754:
1736:
1729:
1723:
1713:
1699:
1697:
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1639:
1617:
1611:
1583:{\displaystyle H=-\sum _{x}p(x)\log p(x)}
1544:
1529:
1484:
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1454:
1422:
1407:
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828:
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732:
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694:
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339:
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308:
300:
267:
254:
241:
235:
206:
1982:
1459:
2298:Folland, Gerald B. (1 December 2012).
2150:
2140:
2046:. New York: Basic Books. p. 352.
1953:. New York: Basic Books. p. 303.
7:
2400:Books by Ian Stewart (mathematician)
2067:Judith D. Sally; Paul Sally (2007).
151:Symmetry: A Very Short Introduction
2017:Symmetry: A Very Short Introduction
1885:Association for Computing Machinery
1379:{\displaystyle \mathrm {d} S\geq 0}
587:{\displaystyle \mathrm {i} ^{2}=-1}
25:17 Equations That Changed the World
1947:Stewart, Ian; Basic Books (2017).
1806:
1798:
1783:
1775:
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1733:
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1363:
1321:
1311:
1284:
1254:
1244:
1214:
1176:
1138:
1086:
1077:
1058:
1038:
1028:
981:
968:
933:
928:
852:
838:
805:
791:
705:
565:
391:
381:
14:
2349:Stewart, Ian (12 February 2012).
276:{\displaystyle a^{2}+b^{2}=c^{2}}
2069:"Chapter 3: Pythagorean triples"
1315:
1291:
1248:
1221:
1183:
1145:
1101:
1093:
1062:
1051:
1032:
662:
1008:(for conservation of momentum)
2099:Kiersz, Andy (31 March 2016).
1577:
1571:
1559:
1553:
1489:
947:
941:
914:
908:
902:
729:
716:
672:
666:
453:
447:
438:
426:
412:
1:
2168:Cosh, Colby (26 March 2012).
1899:American Mathematical Society
1897:The review in Notices of the
602:Euler's formula for polyhedra
293:(logarithm product identity)
1928:, Stewart described how the
1352:Second law of thermodynamics
1935:financial crisis of 2007–08
2426:
2127:In Pursuit of the Unknown
1917:In Pursuit of the Unknown
30:
22:In Pursuit of the Unknown
1431:{\displaystyle E=mc^{2}}
553:Square root of minus one
2269:10.1145/2596583.2596587
1398:Mass–energy equivalence
1006:Navier–Stokes equations
636:{\displaystyle F-E+V=2}
480:Newton's law of gravity
2390:2012 non-fiction books
1930:Black-Scholes equation
1922:
1834:
1689:Black–Scholes equation
1675:
1584:
1502:
1432:
1380:
1338:
1271:
1201:
1163:
1109:
992:
872:
762:
637:
588:
539:
466:
348:
277:
2040:Stewart, Ian (2012).
2015:Stewart, Ian (2013).
1990:Stewart, Ian (2010).
1835:
1676:
1585:
1503:
1433:
1381:
1339:
1272:
1202:
1164:
1110:
993:
873:
763:
638:
589:
540:
467:
349:
278:
1865:New York Book Review
1696:
1610:
1528:
1453:
1446:Schrödinger equation
1406:
1359:
1281:
1211:
1173:
1135:
1014:
893:
784:
658:
609:
560:
487:
374:
299:
234:
2410:Profile Books books
1123:Maxwell's equations
937:
651:Normal distribution
364:(definition of the
227:Pythagorean theorem
208:
194:Black–Scholes model
190:Pythagorean theorem
27:
1830:
1671:
1580:
1549:
1516:Information theory
1498:
1428:
1376:
1334:
1267:
1197:
1159:
1105:
988:
920:
868:
778:(one dimensional)
758:
633:
584:
535:
462:
419:
344:
273:
207:
37:First edition (US)
2405:Mathematics books
2395:Basic Books books
2231:10.1063/PT.3.1720
2082:978-0-8218-4403-8
2053:978-1-84668-531-6
2026:978-0-19965-198-6
2001:978-0-19-956207-7
1960:978-0-465-09612-1
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905:
886:Fourier transform
866:
819:
754:
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533:
460:
404:
399:
160:
159:
127:978-1-84668-531-6
97:Publication place
26:
2417:
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2357:. The Observer.
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2105:Business Insider
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1878:Business Insider
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88:Publication date
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2317:10.1090/noti924
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2257:ACM SIGACT News
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2014:
2013:
2009:
2002:
1989:
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1979:
1961:
1946:
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1613:
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1526:
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1520:Shannon entropy
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1403:
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1133:
1132:
1125:(in vacuum, in
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1024:
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1011:
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891:
890:
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184:, published by
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105:Media type
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12:
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2209:
2198:. Review. 2012
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2000:
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1980:
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1851:Kirkus Reviews
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1130:
1127:Gaussian units
1120:
1116:
1115:
1103:
1099:
1095:
1091:
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1079:
1076:
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215:Equation name
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2266:
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2258:
2251:
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2245:
2240:
2236:
2232:
2228:
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2220:
2219:Physics Today
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2210:
2197:
2191:
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2175:
2171:
2164:
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2156:
2144:
2129:
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2106:
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2095:
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2074:
2070:
2063:
2060:
2055:
2049:
2045:
2044:
2036:
2033:
2028:
2022:
2018:
2011:
2008:
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1997:
1993:
1986:
1983:
1976:
1970:
1966:
1962:
1956:
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1951:
1945:
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1931:
1927:
1918:
1912:
1905:
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1872:Physics Today
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1701:
1692:
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1624:
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1618:
1614:
1606:
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1599:
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1574:
1568:
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1562:
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1537:
1534:
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1524:
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1514:
1511:
1510:
1486:
1480:
1471:
1456:
1449:
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1440:
1423:
1419:
1415:
1412:
1409:
1402:
1399:
1395:
1392:
1389:
1388:
1373:
1370:
1367:
1355:
1353:
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1347:
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1331:
1324:
1303:
1300:
1295:
1287:
1264:
1257:
1236:
1233:
1228:
1225:
1217:
1194:
1190:
1187:
1179:
1156:
1152:
1149:
1141:
1131:
1128:
1124:
1121:
1118:
1117:
1097:
1089:
1083:
1080:
1074:
1071:
1067:
1055:
1047:
1041:
1021:
1017:
1010:
1007:
1004:
1001:
1000:
985:
975:
972:
964:
961:
958:
954:
944:
938:
925:
921:
917:
911:
899:
889:
887:
884:
881:
880:
860:
856:
847:
842:
829:
825:
821:
813:
809:
800:
795:
780:
777:
776:Wave equation
774:
771:
770:
748:
744:
740:
733:
725:
722:
719:
710:
695:
691:
687:
684:
680:
675:
669:
654:
652:
649:
646:
645:
630:
627:
624:
621:
618:
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612:
605:
603:
600:
597:
596:
581:
578:
575:
570:
556:
554:
551:
548:
547:
528:
524:
517:
513:
507:
503:
496:
493:
490:
483:
481:
478:
475:
474:
457:
450:
444:
441:
435:
432:
429:
423:
415:
409:
401:
395:
385:
370:
367:
363:
360:
357:
356:
340:
336:
333:
330:
326:
322:
319:
316:
312:
309:
305:
302:
295:
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268:
264:
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217:
214:
211:
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156:
149:
145:
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135:
131:
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119:
115:
111:
107:
103:
99:
95:
92:February 2012
91:
85:
81:
76:
75:Profile Books
73:
69:
66:
63:
59:
55:
51:
48:
45:
41:
34:
29:
19:
2366:. Retrieved
2355:The Guardian
2354:
2329:. Retrieved
2307:
2303:
2293:
2263:(1): 11–15.
2260:
2256:
2225:(9): 52–53.
2222:
2218:
2212:
2200:. Retrieved
2190:
2178:. Retrieved
2173:
2163:
2131:. Retrieved
2126:
2120:
2108:. Retrieved
2104:
2072:
2062:
2042:
2035:
2016:
2010:
1991:
1985:
1948:
1926:17 Equations
1925:
1923:
1916:
1910:
1896:
1888:
1882:
1877:
1876:
1871:
1869:
1864:
1862:
1857:
1855:
1850:
1849:
1602:logistic map
1598:Chaos theory
203:
163:
162:
161:
150:
136:
18:
2151:|work=
1890:SIGACT News
186:Basic Books
169:Ian Stewart
80:Basic Books
65:Non-fiction
47:Ian Stewart
2384:Categories
1977:References
1969:1030547312
1394:Relativity
366:derivative
291:Logarithms
2363:0029-7712
2326:0002-9920
2310:(11): 1.
2277:0163-5700
2239:0031-9228
2174:Maclean's
2153:ignored (
2143:cite book
1858:Maclean's
1816:−
1807:∂
1799:∂
1784:∂
1776:∂
1748:∂
1734:∂
1711:σ
1654:−
1566:
1542:∑
1538:−
1496:Ψ
1490:^
1478:Ψ
1469:∂
1465:∂
1460:ℏ
1371:≥
1322:∂
1312:∂
1288:×
1285:∇
1255:∂
1245:∂
1229:−
1218:×
1215:∇
1180:⋅
1177:∇
1142:⋅
1139:∇
1090:⋅
1087:∇
1078:∇
1075:−
1059:∇
1056:⋅
1039:∂
1029:∂
1018:ρ
976:ξ
965:π
959:−
934:∞
929:∞
926:−
922:∫
912:ξ
903:^
853:∂
839:∂
806:∂
792:∂
745:σ
726:μ
723:−
711:−
692:σ
688:π
663:Φ
616:−
579:−
442:−
413:→
337:
323:
306:
218:Equation
108:Hardcover
71:Publisher
2368:29 April
2331:29 April
2285:30631119
2202:29 April
2180:29 April
2176:. Review
2133:29 April
2110:29 April
1941:See also
1919:2012:310
1914:—
362:Calculus
53:Language
1846:Reviews
200:Content
56:English
2361:
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2237:
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1967:
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1906:Themes
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139:(2010)
43:Author
2281:S2CID
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177:CMath
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113:Pages
61:Genre
2370:2020
2359:ISSN
2333:2020
2322:ISSN
2273:ISSN
2235:ISSN
2204:2020
2182:2020
2155:help
2135:2020
2112:2020
2077:ISBN
2048:ISBN
2021:ISBN
1996:ISBN
1965:OCLC
1955:ISBN
1883:The
1870:The
1863:The
1856:The
181:FIMA
122:ISBN
82:(US)
77:(UK)
2312:doi
2265:doi
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1594:16
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