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Albert W. Tucker

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Tucker then returned to Princeton to join the faculty in 1933, where he stayed until 1974. He chaired the mathematics department for about twenty years, one of the longest tenures. His extensive relationships within the field made him a great source for oral histories of the mathematics community.
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Calculus committee for the College Board (1960–1963), through work with the Committee on the Undergraduate Program in Mathematics (CUPM) of the
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to help him set up an oral history project to preserve stories about the Princeton mathematical community in the 1930s. With funding from the
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Cervone, Barbara Tucker; Duren, Bill; Kohn, J. J.; Snell, J. Laurie; Stein, Marjorie L. (1995), "A. W. Tucker: some reminiscences",
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Tucker noticed the leadership ability and talent of a young mathematics graduate student named
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An oral history project initiated by Tucker, also contains a series of interviews with Tucker.
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acknowledged Tucker's contribution of many exercises to Thomas's classic textbook,
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In the 1960s, he was heavily involved in mathematics education, as chair of the
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from the Institute for Operations Research and the Management Sciences
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In the early 1980s, Tucker recruited Princeton history professor
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In 1950, Albert Tucker gave the name and interpretation "
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summer workshops for high school and college teachers.
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at the same institution in 1929. In 1932, he earned his
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Presidents of the Mathematical Association of America
578: 254:(28 November 1905 – 25 January 1995) was a Canadian 497:At each (triennial) International Symposium of the 310:. In 1932–33 he was a National Research Fellow at 639: 906: 759: 631: 1416: 818:The Princeton Mathematics Community in the 1930s 747:"Albert W. Tucker, 89, Pioneering Mathematician" 459:on a number of papers and mathematical models. 892: 824:Oral History Interview with Albert W. Tucker 581:Notices of the American Mathematical Society 273: 899: 885: 715: 672: 605:Gass, Saul I. (2011). "Albert W. Tucker". 489:are all also professional mathematicians. 1490:Canadian emigrants to the United States 803:A Guide to Albert William Tucker Papers 771:MacTutor History of Mathematics Archive 527:Linear inequalities and related systems 455:. Tucker advised and collaborated with 1417: 637: 559: 557: 410: 1465:John von Neumann Theory Prize winners 880: 741: 529:, Annals of Mathematical Studies 1956 522:, Annals of Mathematical Studies 1950 1435:20th-century Canadian mathematicians 604: 541:Linear Programs and related problems 520:Contributions to the theory of games 258:who made important contributions in 699:"Mathematical Optimization Society" 554: 532:with Allan Gewirtz, Harry Sitomer: 466:, whose hiring Tucker suggested to 13: 735: 16:Canadian mathematician (1905–1995) 14: 1506: 782: 642:An abstract approach to manifolds 499:Mathematical Optimization Society 308:An Abstract Approach to Manifolds 193:An Abstract Approach to Manifolds 857:Dod Professor of Mathematics at 415:Tucker's Ph.D. students include 29: 709: 638:Tucker, Albert William (1932). 607:Profiles in Operations Research 492: 371:Calculus and Analytic Geometry. 306:, with a dissertation entitled 789:News from PRINCETON UNIVERSITY 691: 686:Calculus and Analytic Geometry 678: 598: 572: 1: 908:John von Neumann Theory Prize 834:Biography of Albert W. Tucker 798:Mathematics Genealogy Project 568:Mathematics Genealogy Project 547: 477:in 1995 at age 89. His sons, 348:Karush–Kuhn–Tucker conditions 143:John von Neumann Theory Prize 129:Karush–Kuhn–Tucker conditions 1480:Princeton University faculty 1460:University of Chicago people 1450:University of Toronto alumni 716:Poundstone, William (1993). 133:Combinatorial linear algebra 7: 1475:Princeton University alumni 615:10.1007/978-1-4419-6281-2_6 534:Constructive linear algebra 10: 1511: 830:, University of Minnesota. 377:Charles Coulston Gillispie 278:Albert Tucker was born in 1153: 914: 865: 855: 847: 842: 828:Charles Babbage Institute 325: 302:under the supervision of 282:, Canada, and earned his 245: 215: 203: 185: 175: 156: 149: 138: 120: 92: 82: 63: 37: 28: 21: 1455:Harvard University staff 808:Extract from an obituary 776:University of St Andrews 525:with H. W. Kuhn (eds.): 518:with H. W. Kuhn (eds.): 512: 451:, Robert Singleton, and 274:Early life and education 536:, Englewood Cliffs 1974 1397:Christos Papadimitriou 1237:Arthur F. Veinott, Jr. 1142:R. Tyrrell Rockafellar 813:Kuhn-Tucker conditions 684:George B. Thomas Jr., 435:, Turing Award winner 395:were computer pioneer 268:non-linear programming 166:Combinatorial topology 75:Hightstown, New Jersey 1317:Jean Bernard Lasserre 543:, Academic Press 1993 447:, Nobel Prize winner 439:, Nobel Prize winner 320:University of Chicago 288:University of Toronto 252:Albert William Tucker 97:University of Toronto 42:Albert William Tucker 859:Princeton University 762:Robertson, Edmund F. 745:(January 27, 1995). 720:. New York: Anchor. 648:Princeton University 507:discrete mathematics 399:and Nobel laureates 367:George B. Thomas Jr. 300:Princeton University 180:Princeton University 110:Princeton University 1229:Alexander Schrijver 1205:J. Michael Harrison 760:O'Connor, John J.; 485:, and his grandson 411:Students and legacy 1470:People from Oshawa 1401:Mihalis Yannakakis 1361:Dimitris Bertsimas 1181:Donald L. Iglehart 1165:Manfred W. Padberg 752:The New York Times 718:Prisoner's Dilemma 675:, pp. 8, 117. 539:with Evar Nering: 336:prisoner's dilemma 125:Prisoner's dilemma 1412: 1411: 1405: 1393: 1385: 1381:Alexander Shapiro 1377: 1369: 1357: 1349:Dimitri Bertsekas 1345: 1333: 1321: 1309: 1301: 1293: 1281: 1277:GĂ©rard CornuĂ©jols 1273: 1261: 1249: 1241: 1233: 1217: 1209: 1201: 1193:Arkadi Nemirovski 1189: 1177: 1169: 1146: 1138: 1130: 1122: 1118:Peter C. Fishburn 1114: 1106: 1098: 1090: 1078: 1070:Richard E. Barlow 1066: 1058: 1050: 1042: 1034: 1026: 1018: 1010: 1002: 998:Richard J. Duffin 994:William W. Cooper 986: 978: 962: 954: 942: 934: 926: 875: 874: 866:Succeeded by 843:Academic offices 624:978-1-4419-6280-5 587:(10): 1143–1147, 468:Dartmouth College 304:Solomon Lefschetz 249: 248: 216:Doctoral students 210:Solomon Lefschetz 151:Scientific career 1502: 1403: 1391: 1383: 1375: 1367: 1355: 1343: 1331: 1329:Ruth J. Williams 1325:Martin I. Reiman 1319: 1307: 1299: 1291: 1285:George Nemhauser 1279: 1271: 1259: 1247: 1239: 1231: 1221:Martin Grötschel 1215: 1207: 1199: 1187: 1175: 1167: 1161:Ellis L. Johnson 1144: 1136: 1128: 1120: 1112: 1104: 1096: 1088: 1076: 1064: 1056: 1048: 1046:Herbert A. Simon 1040: 1032: 1024: 1016: 1008: 1000: 984: 976: 974:Albert W. Tucker 960: 952: 950:Carlton E. Lemke 940: 932: 924: 901: 894: 887: 878: 877: 863:1954–1974 848:Preceded by 840: 839: 794:Albert W. Tucker 778: 756: 731: 703: 702: 695: 689: 682: 676: 670: 664: 663: 645: 635: 629: 628: 602: 596: 595: 576: 570: 564:Albert W. Tucker 561: 487:Thomas J. Tucker 483:Thomas W. Tucker 475:Hightstown, N.J. 445:Torrence Parsons 397:Herman Goldstine 381:Sloan Foundation 340:Merrill M. Flood 290:in 1928 and his 236:Torrence Parsons 232:John Forbes Nash 205:Doctoral advisor 199: 70: 52:28 November 1905 51: 49: 33: 23:Albert W. Tucker 19: 18: 1510: 1509: 1505: 1504: 1503: 1501: 1500: 1499: 1415: 1414: 1413: 1408: 1353:John Tsitsiklis 1337:Donald Goldfarb 1297:Michel Balinski 1289:Laurence Wolsey 1197:Michael J. Todd 1149: 1082:Alan J. Hoffman 1054:Harry Markowitz 990:Abraham Charnes 958:David Blackwell 938:Felix Pollaczek 930:Richard Bellman 910: 905: 871: 862: 853: 785: 766:"Albert Tucker" 738: 736:Further reading 728: 712: 707: 706: 697: 696: 692: 683: 679: 673:Poundstone 1993 671: 667: 636: 632: 625: 603: 599: 577: 573: 562: 555: 550: 515: 495: 473:Tucker died in 425:Alan J. Goldman 417:Michel Balinski 413: 328: 280:Oshawa, Ontario 276: 238: 234: 230: 226: 222: 197: 168: 164: 131: 127: 108: 93:Alma mater 87: 78: 72: 68: 67:25 January 1995 59: 56:Oshawa, Ontario 53: 47: 45: 44: 43: 24: 17: 12: 11: 5: 1508: 1498: 1497: 1492: 1487: 1482: 1477: 1472: 1467: 1462: 1457: 1452: 1447: 1445:Game theorists 1442: 1437: 1432: 1427: 1410: 1409: 1407: 1406: 1394: 1389:Vijay Vazirani 1386: 1378: 1370: 1358: 1346: 1334: 1322: 1310: 1305:Nimrod Megiddo 1302: 1294: 1282: 1274: 1269:Peter W. Glynn 1265:Søren Asmussen 1262: 1253:Yurii Nesterov 1250: 1242: 1234: 1218: 1210: 1202: 1190: 1178: 1170: 1157: 1155: 1151: 1150: 1148: 1147: 1139: 1134:Fred W. Glover 1131: 1123: 1115: 1107: 1099: 1091: 1079: 1074:Frank Proschan 1067: 1059: 1051: 1043: 1035: 1027: 1019: 1011: 1003: 987: 979: 970:Harold W. Kuhn 963: 955: 943: 935: 927: 922:George Dantzig 918: 916: 912: 911: 904: 903: 896: 889: 881: 873: 872: 867: 864: 854: 849: 845: 844: 838: 837: 831: 821: 815: 810: 805: 800: 791: 784: 783:External links 781: 780: 779: 757: 737: 734: 733: 732: 726: 711: 708: 705: 704: 690: 677: 665: 630: 623: 597: 571: 552: 551: 549: 546: 545: 544: 537: 530: 523: 514: 511: 494: 491: 464:John G. Kemeny 457:Harold W. Kuhn 453:Marjorie Stein 433:Stephen Maurer 412: 409: 344:Melvin Dresher 327: 324: 275: 272: 247: 246: 243: 242: 224:John R. Isbell 217: 213: 212: 207: 201: 200: 189: 183: 182: 177: 173: 172: 158: 154: 153: 147: 146: 140: 136: 135: 122: 121:Known for 118: 117: 94: 90: 89: 84: 80: 79: 73: 71:(aged 89) 65: 61: 60: 54: 41: 39: 35: 34: 26: 25: 22: 15: 9: 6: 4: 3: 2: 1507: 1496: 1493: 1491: 1488: 1486: 1483: 1481: 1478: 1476: 1473: 1471: 1468: 1466: 1463: 1461: 1458: 1456: 1453: 1451: 1448: 1446: 1443: 1441: 1438: 1436: 1433: 1431: 1428: 1426: 1423: 1422: 1420: 1402: 1398: 1395: 1390: 1387: 1382: 1379: 1374: 1371: 1366: 1365:Jong-Shi Pang 1362: 1359: 1354: 1350: 1347: 1342: 1341:Jorge Nocedal 1338: 1335: 1330: 1326: 1323: 1318: 1314: 1313:Vašek Chvátal 1311: 1306: 1303: 1298: 1295: 1290: 1286: 1283: 1278: 1275: 1270: 1266: 1263: 1258: 1254: 1251: 1246: 1243: 1238: 1235: 1230: 1226: 1225:LászlĂł Lovász 1222: 1219: 1214: 1213:Robert Aumann 1211: 1206: 1203: 1198: 1194: 1191: 1186: 1182: 1179: 1174: 1171: 1166: 1162: 1159: 1158: 1156: 1152: 1143: 1140: 1135: 1132: 1127: 1126:Peter Whittle 1124: 1119: 1116: 1111: 1108: 1103: 1100: 1095: 1094:Robert Herman 1092: 1087: 1083: 1080: 1075: 1071: 1068: 1063: 1060: 1055: 1052: 1047: 1044: 1039: 1038:Samuel Karlin 1036: 1031: 1030:Kenneth Arrow 1028: 1023: 1020: 1015: 1012: 1007: 1006:Herbert Scarf 1004: 999: 995: 991: 988: 983: 982:Lloyd Shapley 980: 975: 971: 967: 964: 959: 956: 951: 947: 944: 939: 936: 931: 928: 923: 920: 919: 917: 913: 909: 902: 897: 895: 890: 888: 883: 882: 879: 870: 861: 860: 852: 846: 841: 835: 832: 829: 825: 822: 819: 816: 814: 811: 809: 806: 804: 801: 799: 795: 792: 790: 787: 786: 777: 773: 772: 767: 763: 758: 754: 753: 748: 744: 743:Nasar, Sylvia 740: 739: 729: 727:0-385-41580-X 723: 719: 714: 713: 700: 694: 687: 681: 674: 669: 661: 657: 653: 649: 644: 643: 634: 626: 620: 616: 612: 608: 601: 594: 590: 586: 582: 575: 569: 565: 560: 558: 553: 542: 538: 535: 531: 528: 524: 521: 517: 516: 510: 508: 504: 500: 490: 488: 484: 480: 476: 471: 469: 465: 460: 458: 454: 450: 449:Lloyd Shapley 446: 442: 438: 437:Marvin Minsky 434: 430: 426: 422: 418: 408: 406: 405:Eugene Wigner 402: 398: 394: 390: 386: 382: 378: 373: 372: 368: 364: 360: 356: 351: 349: 345: 341: 337: 332: 323: 321: 317: 313: 309: 305: 301: 297: 293: 289: 285: 281: 271: 269: 265: 261: 257: 256:mathematician 253: 244: 241: 240:Lloyd Shapley 237: 233: 229: 228:Marvin Minsky 225: 221: 218: 214: 211: 208: 206: 202: 195: 194: 190: 188: 184: 181: 178: 174: 171: 167: 162: 161:Mathematician 159: 155: 152: 148: 144: 141: 137: 134: 130: 126: 123: 119: 115: 111: 106: 102: 98: 95: 91: 85: 81: 76: 66: 62: 57: 40: 36: 32: 27: 20: 1495:Oral history 1373:Adrian Lewis 1185:Cyrus Derman 1154:2000–present 1102:Lajos Takacs 1086:Philip Wolfe 1062:Richard Karp 1022:Jack Edmonds 1014:Ralph Gomory 973: 946:John F. Nash 856: 769: 750: 717: 710:Bibliography 693: 685: 680: 668: 658:– via 641: 633: 606: 600: 584: 580: 574: 540: 533: 526: 519: 503:Tucker Prize 496: 493:Tucker Prize 472: 461: 414: 401:John Bardeen 374: 370: 352: 333: 329: 307: 277: 251: 250: 191: 176:Institutions 170:Optimization 150: 69:(1995-01-25) 1440:Topologists 1430:1995 deaths 1425:1905 births 1245:Frank Kelly 869:Elias Stein 479:Alan Tucker 429:John Isbell 389:von Neumann 318:, and then 264:game theory 83:Nationality 1419:Categories 1173:Ward Whitt 1110:Egon Balas 966:David Gale 851:Emil Artin 548:References 501:(MOS) the 421:David Gale 220:David Gale 48:1905-11-28 915:1975–1999 656:775707046 646:(Ph.D.). 441:John Nash 312:Cambridge 86:Canadian 1257:Yinyu Ye 660:ProQuest 385:Einstein 260:topology 88:American 58:, Canada 796:at the 593:1350012 566:at the 316:Harvard 286:at the 1404:(2023) 1392:(2022) 1384:(2021) 1376:(2020) 1368:(2019) 1356:(2018) 1344:(2017) 1332:(2016) 1320:(2015) 1308:(2014) 1300:(2013) 1292:(2012) 1280:(2011) 1272:(2010) 1260:(2009) 1248:(2008) 1240:(2007) 1232:(2006) 1216:(2005) 1208:(2004) 1200:(2003) 1188:(2002) 1176:(2001) 1168:(2000) 1145:(1999) 1137:(1998) 1129:(1997) 1121:(1996) 1113:(1995) 1105:(1994) 1097:(1993) 1089:(1992) 1077:(1991) 1065:(1990) 1057:(1989) 1049:(1988) 1041:(1987) 1033:(1986) 1025:(1985) 1017:(1984) 1009:(1983) 1001:(1982) 985:(1981) 977:(1980) 961:(1979) 953:(1978) 941:(1977) 933:(1976) 925:(1975) 724:  654:  621:  591:  391:, and 326:Career 266:, and 198:(1932) 196:  187:Thesis 157:Fields 145:(1980) 139:Awards 77:, U.S. 513:Works 393:Gödel 338:" to 296:Ph.D. 722:ISBN 652:OCLC 619:ISBN 481:and 403:and 342:and 292:M.A. 284:B.A. 64:Died 38:Born 611:doi 363:NSF 359:MAA 298:at 114:PhD 1421:: 1399:/ 1363:/ 1351:/ 1339:/ 1327:/ 1315:/ 1287:/ 1267:/ 1255:/ 1227:/ 1223:/ 1195:/ 1183:/ 1163:/ 1084:/ 1072:/ 996:/ 992:/ 972:/ 968:/ 948:/ 826:, 774:, 768:, 764:, 749:. 650:. 617:. 589:MR 585:42 583:, 556:^ 509:. 443:, 431:, 427:, 423:, 419:, 407:. 387:, 355:AP 322:. 314:, 270:. 262:, 163:: 105:MA 103:, 101:BA 900:e 893:t 886:v 755:. 730:. 701:. 662:. 627:. 613:: 116:) 112:( 107:) 99:( 50:) 46:(

Index


Oshawa, Ontario
Hightstown, New Jersey
University of Toronto
BA
MA
Princeton University
PhD
Prisoner's dilemma
Karush–Kuhn–Tucker conditions
Combinatorial linear algebra
John von Neumann Theory Prize
Mathematician
Combinatorial topology
Optimization
Princeton University
Thesis
An Abstract Approach to Manifolds
Doctoral advisor
Solomon Lefschetz
David Gale
John R. Isbell
Marvin Minsky
John Forbes Nash
Torrence Parsons
Lloyd Shapley
mathematician
topology
game theory
non-linear programming

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