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J. W. S. Cassels

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His publications include 200 papers. His advanced textbooks have influenced generations of mathematicians; some of Cassels's books have remained in print for decades.
1270: 1275: 287: 1260: 1250: 821: 1255: 283: 503:. London Mathematical Society Lecture Note Series. Vol. 62. Cambridge-New York: Cambridge University Press. pp. xi+145. 858: 770:(1982) CASSELS, J. W. S., Economics for mathematicians, The Bulletin of the London Mathematical Society, Volume XIV p 269 and 662: 1245: 814: 1240: 611: 577: 543: 508: 482: 1235: 310:, he returned in the later 1950s to the arithmetic of elliptic curves, writing a series of papers connecting the 1265: 1002: 874: 326:
of an elliptic curve, if it is finite, must have order that is a square; the proof being by construction of an
807: 794: 20: 1154: 598:, London Mathematical Society Lecture Note Series, vol. 230, Cambridge: Cambridge University Press, 213: 130: 954: 363: 260: 105: 709: 1026: 307: 237: 229: 667: 271: 564:, London Mathematical Society Student Texts, vol. 24, Cambridge: Cambridge University Press, 986: 657: 530:, London Mathematical Society Student Texts, vol. 3, Cambridge: Cambridge University Press, 338: 279: 233: 159: 100: 687: 477:, London Mathematical Society Monographs, vol. 13, London-New York: Academic Press, Inc. , 850: 634: 323: 275: 1090: 1010: 763: 723: 639: 445:
Cassels, J. W. S. (1966), "Diophantine equations with special reference to elliptic curves",
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in Arithmetic in 1963, the same year he was elected as a fellow of the
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before returning to Cambridge as a lecturer in 1950. He was appointed
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Dietmann, Rainer; Fisher, Tom; Smyth, Chris; Velani, Sanju (2023).
39: 775: 688:"John William Scott ('Ian') Cassels. 11 July 1922 — 27 July 2015" 216:(11 July 1922 – 27 July 2015) was a British mathematician. 596:
Prolegomena to a middlebrow arithmetic of curves of genus 2
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and laying some of the foundations of the modern theory of
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Department of Pure Mathematics and Mathematical Statistics
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Cassels then spent a year lecturing in mathematics at the
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Cassels was educated at Neville's Cross Council School in
685: 322:. His best-known single result may be the proof that the 681: 679: 774:(1983). . The Mathematical Gazette, 67(439), 68–69. 692:
Biographical Memoirs of Fellows of the Royal Society
710:"LISTSERV - NMBRTHRY Archives - LISTSERV.NODAK.EDU" 676: 407:, Springer Classics in Mathematics, Springer-Verlag 722: 651: 1217: 263:; he received his PhD in 1949 and was elected a 255:. After the war he became a research student of 410: 368: 815: 593: 376:An introduction to Diophantine approximation 360:An introduction to Diophantine approximation 286:at Cambridge. In 1969 he became Head of the 822: 808: 418:An introduction to the geometry of numbers 405:An Introduction to the Geometry of Numbers 38: 1276:Sadleirian Professors of Pure Mathematics 1271:People educated at George Heriot's School 747: 435: 393: 232:in Edinburgh. He went on to study at the 19:For other people named John Cassels, see 829: 594:Cassels, J. W. S.; Flynn, E. V. (1996), 284:Sadleirian Professor of Pure Mathematics 663:MacTutor History of Mathematics Archive 559: 525: 498: 472: 444: 402: 357: 243:His academic career was interrupted in 1218: 1261:Fellows of Trinity College, Cambridge 1251:Alumni of the University of Edinburgh 803: 1256:Alumni of Trinity College, Cambridge 293: 236:and graduated with an undergraduate 302:. After a period when he worked on 13: 14: 1287: 784: 333:Cassels often studied individual 776:https://doi.org/10.2307/3617384 749:10.1090/S0273-0979-1980-14810-7 437:10.1090/s0002-9904-1961-10510-7 395:10.1090/S0002-9904-1958-10167-6 351: 756: 716: 702: 282:. In 1967 he was appointed as 1: 795:Mathematics Genealogy Project 736:Bull. Amer. Math. Soc. (N.S.) 645: 267:of Trinity in the same year. 21:John Cassels (disambiguation) 1246:Fellows of the Royal Society 501:Economics for mathematicians 219: 7: 628: 562:Lectures on elliptic curves 403:Cassels, J. W. S. (1997) , 374:"Review: J. W. S. Cassels, 131:Fellow of the Royal Society 10: 1292: 526:Cassels, J. W. S. (1986), 473:Cassels, J. W. S. (1978), 364:Cambridge University Press 358:Cassels, J. W. S. (1957), 261:Trinity College, Cambridge 106:Trinity College, Cambridge 18: 837: 560:Cassels, J. W. S (1991), 308:diophantine approximation 195: 177: 165: 155: 145: 138: 112: 96: 88: 80: 65: 46: 37: 30: 1241:British number theorists 730:Rational quadratic forms 668:University of St Andrews 604:10.1017/CBO9780511526084 570:10.1017/CBO9781139172530 536:10.1017/CBO9781139171885 499:Cassels, J.W.S. (1981). 475:Rational quadratic forms 459:10.1112/jlms/s1-41.1.193 272:University of Manchester 247:when he was involved in 339:algebraic number theory 298:He initially worked on 280:Royal Society of London 234:University of Edinburgh 160:University of Cambridge 101:University of Edinburgh 1236:English mathematicians 851:James Joseph Sylvester 420:, by J. W. S. Cassels" 324:Tate-Shafarevich group 290:. He retired in 1984. 230:George Heriot's School 69:27 July 2015 (aged 93) 1266:Bletchley Park people 1011:George Neville Watson 640:Littlewood conjecture 424:Bull. Amer. Math. Soc 382:Bull. Amer. Math. Soc 335:Diophantine equations 240:(MA) degree in 1943. 16:British mathematician 1187:John Griggs Thompson 1179:Keith William Morton 963:Godfrey Harold Hardy 831:De Morgan Medallists 732:by J. W. S. Cassels" 654:Robertson, Edmund F. 447:J. London Math. Soc. 652:O'Connor, John J.; 635:Cassels' conjecture 304:geometry of numbers 658:"J. W. S. Cassels" 202:John William Scott 186:JosĂ© Felipe Voloch 1213: 1212: 1131:Albrecht Fröhlich 1091:C. Ambrose Rogers 1019:A. S. Besicovitch 907:J. W. L. Glaisher 316:Galois cohomology 294:Mathematical work 199: 198: 178:Doctoral students 140:Scientific career 1283: 1206: 1198: 1190: 1182: 1174: 1171:Bryan John Birch 1166: 1158: 1150: 1142: 1134: 1126: 1118: 1115:J. W. S. Cassels 1110: 1102: 1094: 1086: 1078: 1070: 1062: 1054: 1046: 1038: 1030: 1027:E. C. Titchmarsh 1022: 1014: 1006: 998: 990: 987:J. E. Littlewood 982: 974: 971:Bertrand Russell 966: 958: 950: 942: 934: 926: 918: 910: 902: 894: 886: 883:William Burnside 878: 870: 862: 854: 846: 824: 817: 810: 801: 800: 791:J. W. S. Cassels 778: 764:Johnson, Charles 760: 754: 753: 751: 720: 714: 713: 706: 700: 699: 683: 670: 624: 590: 556: 522: 495: 469: 441: 439: 408: 399: 397: 366: 328:alternating form 320:infinite descent 182:Bryan John Birch 167:Doctoral advisor 134: 89:Other names 42: 32:J. W. S. Cassels 28: 27: 1291: 1290: 1286: 1285: 1284: 1282: 1281: 1280: 1216: 1215: 1214: 1209: 1201: 1193: 1185: 1177: 1169: 1161: 1153: 1145: 1137: 1129: 1121: 1113: 1105: 1097: 1089: 1081: 1073: 1067:Mary Cartwright 1065: 1057: 1049: 1041: 1033: 1025: 1017: 1009: 1001: 993: 985: 979:E. T. Whittaker 977: 969: 961: 953: 945: 937: 929: 921: 913: 905: 897: 891:A. G. Greenhill 889: 881: 873: 865: 857: 849: 841: 833: 828: 787: 782: 781: 761: 757: 721: 717: 708: 707: 703: 684: 677: 648: 631: 614: 580: 546: 511: 485: 354: 300:elliptic curves 296: 222: 188: 184: 129: 126:Sylvester Medal 121: 118:De Morgan Medal 116: 104: 97:Alma mater 76: 70: 61: 51: 33: 24: 17: 12: 11: 5: 1289: 1279: 1278: 1273: 1268: 1263: 1258: 1253: 1248: 1243: 1238: 1233: 1228: 1211: 1210: 1208: 1207: 1199: 1195:Timothy Gowers 1191: 1183: 1175: 1167: 1159: 1151: 1143: 1135: 1127: 1119: 1111: 1103: 1099:Michael Atiyah 1095: 1087: 1079: 1071: 1063: 1055: 1047: 1043:W. V. D. Hodge 1039: 1031: 1023: 1015: 1007: 1003:Sydney Chapman 999: 991: 983: 975: 967: 959: 951: 947:P. A. MacMahon 943: 935: 927: 919: 911: 903: 895: 887: 879: 871: 863: 855: 847: 838: 835: 834: 827: 826: 819: 812: 804: 798: 797: 786: 785:External links 783: 780: 779: 762:Reviewed in: 755: 724:O'Meara, O. T. 715: 701: 674: 673: 672: 671: 647: 644: 643: 642: 637: 630: 627: 626: 625: 612: 591: 578: 557: 544: 523: 509: 496: 483: 470: 442: 412:Mordell, L. J. 409:. Reviewed in 400: 370:LeVeque, W. J. 367:. Reviewed in 353: 350: 343:p-adic methods 295: 292: 253:Bletchley Park 238:Master of Arts 221: 218: 197: 196: 193: 192: 179: 175: 174: 169: 163: 162: 157: 153: 152: 147: 143: 142: 136: 135: 114: 110: 109: 98: 94: 93: 90: 86: 85: 82: 78: 77: 71: 67: 63: 62: 52: 48: 44: 43: 35: 34: 31: 15: 9: 6: 4: 3: 2: 1288: 1277: 1274: 1272: 1269: 1267: 1264: 1262: 1259: 1257: 1254: 1252: 1249: 1247: 1244: 1242: 1239: 1237: 1234: 1232: 1229: 1227: 1224: 1223: 1221: 1204: 1200: 1196: 1192: 1188: 1184: 1180: 1176: 1172: 1168: 1164: 1163:Roger Penrose 1160: 1156: 1152: 1148: 1144: 1140: 1136: 1132: 1128: 1124: 1123:D. G. Kendall 1120: 1116: 1112: 1108: 1104: 1100: 1096: 1092: 1088: 1084: 1083:Graham Higman 1080: 1076: 1072: 1068: 1064: 1060: 1056: 1052: 1048: 1044: 1040: 1036: 1032: 1028: 1024: 1020: 1016: 1012: 1008: 1004: 1000: 996: 995:Louis Mordell 992: 988: 984: 980: 976: 972: 968: 964: 960: 956: 955:A. E. H. Love 952: 948: 944: 940: 936: 932: 928: 924: 920: 916: 912: 908: 904: 900: 896: 892: 888: 884: 880: 876: 872: 868: 864: 860: 859:Lord Rayleigh 856: 852: 848: 844: 843:Arthur Cayley 840: 839: 836: 832: 825: 820: 818: 813: 811: 806: 805: 802: 796: 792: 789: 788: 777: 773: 769: 765: 759: 750: 745: 741: 737: 733: 731: 725: 719: 711: 705: 697: 693: 689: 682: 680: 675: 669: 665: 664: 659: 655: 650: 649: 641: 638: 636: 633: 632: 623: 619: 615: 613:0-521-48370-0 609: 605: 601: 597: 592: 589: 585: 581: 579:0-521-41517-9 575: 571: 567: 563: 558: 555: 551: 547: 545:0-521-30484-9 541: 537: 533: 529: 524: 520: 516: 512: 510:0-521-28614-X 506: 502: 497: 494: 490: 486: 484:0-12-163260-1 480: 476: 471: 468: 464: 460: 456: 452: 448: 443: 438: 433: 429: 425: 421: 419: 413: 406: 401: 396: 391: 387: 383: 379: 377: 371: 365: 361: 356: 355: 349: 346: 344: 340: 336: 331: 329: 325: 321: 317: 313: 309: 305: 301: 291: 289: 285: 281: 277: 273: 268: 266: 262: 258: 257:Louis Mordell 254: 250: 246: 241: 239: 235: 231: 227: 217: 215: 211: 207: 203: 194: 191: 187: 183: 180: 176: 173: 172:Louis Mordell 170: 168: 164: 161: 158: 154: 151: 148: 144: 141: 137: 132: 127: 124: 123:Royal Society 119: 115: 111: 107: 102: 99: 95: 91: 87: 83: 79: 74: 68: 64: 59: 58:County Durham 55: 49: 45: 41: 36: 29: 26: 22: 1203:Andrew Wiles 1147:R. A. Rankin 1139:W. K. Hayman 1114: 1035:G. I. Taylor 939:E. W. Hobson 768:Binmore, Ken 758: 739: 735: 729: 718: 704: 695: 691: 661: 595: 561: 528:Local fields 527: 500: 474: 450: 446: 430:(1): 89–94. 427: 423: 417: 404: 388:(2): 65–68. 385: 381: 375: 359: 352:Publications 347: 332: 312:Selmer group 297: 269: 249:cryptography 245:World War II 242: 223: 209: 205: 201: 200: 190:Victor Flynn 156:Institutions 139: 50:11 July 1922 25: 1231:2015 deaths 1226:1922 births 1155:J. A. Green 1075:Kurt Mahler 1059:Philip Hall 931:W. H. Young 915:Horace Lamb 899:H. F. Baker 867:Felix Klein 742:: 741–745. 453:: 193–291, 150:Mathematics 92:Ian Cassels 81:Nationality 1220:Categories 1107:K. F. Roth 1051:Max Newman 875:S. Roberts 646:References 923:J. Larmor 728:"Review: 416:"Review: 220:Biography 75:, England 73:Cambridge 60:, England 772:Gale, D. 726:(1980). 629:See also 414:(1961). 372:(1958). 793:at the 622:1406090 588:1144763 554:0861410 519:0657578 493:0522835 467:0199150 210:Cassels 84:British 1205:(2019) 1197:(2016) 1189:(2013) 1181:(2010) 1173:(2007) 1165:(2004) 1157:(2001) 1149:(1998) 1141:(1995) 1133:(1992) 1125:(1989) 1117:(1986) 1109:(1983) 1101:(1980) 1093:(1977) 1085:(1974) 1077:(1971) 1069:(1968) 1061:(1965) 1053:(1962) 1045:(1959) 1037:(1956) 1029:(1953) 1021:(1950) 1013:(1947) 1005:(1944) 997:(1941) 989:(1938) 981:(1935) 973:(1932) 965:(1929) 957:(1926) 949:(1923) 941:(1920) 933:(1917) 925:(1914) 917:(1911) 909:(1908) 901:(1905) 893:(1902) 885:(1899) 877:(1896) 869:(1893) 861:(1890) 853:(1887) 845:(1884) 620:  610:  586:  576:  552:  542:  517:  507:  491:  481:  465:  276:Reader 265:fellow 226:Durham 146:Fields 133:(1963) 128:(1973) 120:(1986) 113:Awards 54:Durham 314:with 108:(PhD) 608:ISBN 574:ISBN 540:ISBN 505:ISBN 479:ISBN 341:and 306:and 228:and 103:(MA) 66:Died 47:Born 744:doi 600:doi 566:doi 532:doi 455:doi 432:doi 390:doi 337:by 259:at 251:at 214:FRS 206:Ian 1222:: 738:. 734:. 696:74 694:. 690:. 678:^ 666:, 660:, 656:, 618:MR 616:, 606:, 584:MR 582:, 572:, 550:MR 548:, 538:, 515:MR 513:. 489:MR 487:, 463:MR 461:, 451:41 449:, 428:67 426:. 422:. 386:64 384:. 380:. 345:. 330:. 212:, 208:" 56:, 823:e 816:t 809:v 752:. 746:: 740:3 712:. 698:. 602:: 568:: 534:: 521:. 457:: 440:. 434:: 398:. 392:: 378:" 204:" 23:.

Index

John Cassels (disambiguation)

Durham
County Durham
Cambridge
University of Edinburgh
Trinity College, Cambridge
De Morgan Medal
Royal Society
Sylvester Medal
Fellow of the Royal Society
Mathematics
University of Cambridge
Doctoral advisor
Louis Mordell
Bryan John Birch
José Felipe Voloch
Victor Flynn
FRS
Durham
George Heriot's School
University of Edinburgh
Master of Arts
World War II
cryptography
Bletchley Park
Louis Mordell
Trinity College, Cambridge
fellow
University of Manchester

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