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In Pursuit of the Unknown

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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
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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.
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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
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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.
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said that the book provided "clear, cogent explanations of how the equations work without burdening the reader with cumbersome derivations."
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magazine review described the book as a "history of the human species told in equations" by the "finest living math popularizer".
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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
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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
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In Pursuit of the Unknown: 17 Equations That Changed the World
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In Pursuit of the Unknown: 17 Equations That Changed the World
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In Pursuit of the Unknown: 17 Equations That Changed the World
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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: 1294: 1224: 1186: 1148: 1027: 906: 797: 671: 622: 573: 500: 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: 1740: 1734: 1724: 1710: 1708: 1671: 1650: 1628: 1622: 1594:{\displaystyle H=-\sum _{x}p(x)\log p(x)} 1555: 1540: 1495: 1494: 1473: 1465: 1433: 1418: 1373: 1371: 1341: 1325: 1319: 1309: 1301: 1293: 1274: 1258: 1252: 1242: 1231: 1223: 1204: 1193: 1185: 1166: 1155: 1147: 1111: 1103: 1072: 1061: 1042: 1036: 1026: 991: 978: 968: 943: 935: 908: 907: 905: 870: 852: 845: 839: 823: 805: 798: 796: 758: 743: 724: 720: 715: 705: 689: 672: 670: 621: 580: 575: 572: 538: 527: 517: 510: 499: 431: 419: 401: 391: 388: 386: 350: 336: 319: 311: 278: 265: 252: 246: 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: 1794: 1786: 1758: 1744: 1506: 1488: 1479: 1475: 1374: 1332: 1322: 1295: 1265: 1255: 1225: 1187: 1149: 1097: 1088: 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: 1500: 958: 952: 925: 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 1686: 1595: 1513: 1443: 1391: 1349: 1282: 1212: 1174: 1120: 1003: 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: 1283: 1213: 1175: 1121: 1004: 884: 774: 649: 600: 551: 478: 360: 289: 1876:New York Book Review 1707: 1621: 1539: 1464: 1457:Schrödinger equation 1417: 1370: 1292: 1222: 1184: 1146: 1025: 904: 795: 669: 620: 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 1854: 1853: 1824: 1801: 1772: 1718: 1551: 1503: 1486: 1339: 1317: 1272: 1250: 1056: 963: 916: 897:Fourier transform 877: 830: 765: 712: 711: 544: 471: 415: 410: 171: 170: 138:978-1-84668-531-6 108:Publication place 37: 16:(Redirected from 2428: 2385: 2384: 2382: 2380: 2368:. The Observer. 2357: 2348: 2347: 2345: 2343: 2330: 2306: 2300: 2299: 2263: 2254: 2253: 2225: 2219: 2218: 2216: 2214: 2203: 2197: 2196: 2194: 2192: 2176: 2170: 2169: 2163: 2159: 2157: 2149: 2147: 2145: 2133: 2127: 2126: 2124: 2122: 2116:Business Insider 2107: 2098: 2097: 2075: 2069: 2068: 2048: 2042: 2041: 2023: 2017: 2016: 1998: 1983: 1931: 1889:Business Insider 1850: 1848: 1847: 1842: 1825: 1823: 1815: 1807: 1802: 1800: 1792: 1784: 1773: 1771: 1770: 1769: 1756: 1752: 1751: 1741: 1739: 1738: 1729: 1728: 1719: 1711: 1691: 1689: 1688: 1683: 1681: 1677: 1676: 1675: 1655: 1654: 1639: 1638: 1600: 1598: 1597: 1592: 1559: 1518: 1516: 1515: 1510: 1505: 1504: 1496: 1487: 1485: 1474: 1448: 1446: 1445: 1440: 1438: 1437: 1396: 1394: 1393: 1388: 1377: 1354: 1352: 1351: 1346: 1340: 1338: 1330: 1329: 1320: 1318: 1310: 1305: 1287: 1285: 1284: 1279: 1273: 1271: 1263: 1262: 1253: 1251: 1243: 1235: 1217: 1215: 1214: 1209: 1197: 1179: 1177: 1176: 1171: 1159: 1125: 1123: 1122: 1117: 1115: 1107: 1081: 1077: 1076: 1065: 1057: 1055: 1047: 1046: 1037: 1008: 1006: 1005: 1000: 995: 990: 989: 982: 961: 947: 942: 918: 917: 909: 888: 886: 885: 880: 878: 876: 875: 874: 861: 857: 856: 846: 844: 843: 831: 829: 828: 827: 814: 810: 809: 799: 778: 776: 775: 770: 768: 767: 766: 764: 763: 762: 749: 748: 747: 725: 719: 713: 710: 709: 694: 690: 676: 653: 651: 650: 645: 604: 602: 601: 596: 585: 584: 579: 555: 553: 552: 547: 545: 543: 542: 533: 532: 531: 522: 521: 511: 482: 480: 479: 474: 472: 467: 432: 429: 411: 409: 405: 399: 395: 389: 364: 362: 361: 356: 354: 340: 326: 293: 291: 290: 285: 283: 282: 270: 269: 257: 256: 220: 194: 165: 158:Followed by 151: 144:Preceded by 99:Publication date 46: 39: 35: 21: 2436: 2435: 2431: 2430: 2429: 2427: 2426: 2425: 2391: 2390: 2389: 2388: 2378: 2376: 2359: 2358: 2351: 2341: 2339: 2328:10.1090/noti924 2308: 2307: 2303: 2268:ACM SIGACT News 2265: 2264: 2257: 2227: 2226: 2222: 2212: 2210: 2205: 2204: 2200: 2190: 2188: 2178: 2177: 2173: 2160: 2150: 2143: 2141: 2135: 2134: 2130: 2120: 2118: 2109: 2108: 2101: 2094: 2077: 2076: 2072: 2065: 2050: 2049: 2045: 2038: 2025: 2024: 2020: 2013: 2000: 1999: 1995: 1990: 1972: 1957: 1954: 1932: 1926: 1919: 1859: 1816: 1808: 1793: 1785: 1761: 1757: 1743: 1742: 1730: 1720: 1705: 1704: 1667: 1660: 1656: 1646: 1624: 1619: 1618: 1537: 1536: 1531:Shannon entropy 1478: 1462: 1461: 1429: 1415: 1414: 1368: 1367: 1331: 1321: 1290: 1289: 1288: 1264: 1254: 1220: 1219: 1218: 1182: 1181: 1180: 1144: 1143: 1136:(in vacuum, in 1048: 1038: 1035: 1031: 1023: 1022: 964: 902: 901: 866: 862: 848: 847: 835: 819: 815: 801: 800: 793: 792: 754: 750: 739: 726: 714: 701: 667: 666: 618: 617: 574: 569: 568: 534: 523: 513: 512: 496: 495: 433: 400: 390: 383: 382: 308: 307: 274: 261: 248: 243: 242: 213: 195:, published by 182: 163: 149: 116:Media type 100: 89: 49: 34: 28: 23: 22: 15: 12: 11: 5: 2434: 2432: 2424: 2423: 2418: 2413: 2408: 2403: 2393: 2392: 2387: 2386: 2349: 2301: 2255: 2220: 2209:. 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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:⋅ 1050:∂ 1040:∂ 1029:ρ 987:ξ 976:π 970:− 945:∞ 940:∞ 937:− 933:∫ 923:ξ 914:^ 864:∂ 850:∂ 817:∂ 803:∂ 756:σ 737:μ 734:− 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:. 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Index

In Pursuit of the Unknown: 17 Equations That Changed the World

Ian Stewart
Non-fiction
Profile Books
Basic Books
ISBN
978-1-84668-531-6
Ian Stewart
FRS
CMath
FIMA
Basic Books
Pythagorean theorem
Black–Scholes model
Pythagorean theorem
Logarithms
Calculus
derivative
Newton's law of gravity
Square root of minus one
Euler's formula for polyhedra
Normal distribution
Wave equation
Fourier transform
Navier–Stokes equations
Maxwell's equations
Gaussian units
Second law of thermodynamics
Relativity

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