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E. H. Moore

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49: 1518: 467:'s primitive lines and planes into defined notions. In 1902, he further showed that one of Hilbert's axioms for geometry was redundant. His work on axiom systems is considered one of the starting points for 1533: 784: 543: 1493: 1488: 670: 415:
opened its doors in 1892, Moore was the first head of its mathematics department, a position he retained until his death in 1932. His first two colleagues were
797: 548: 223: 219: 1523: 842: 560: 1513: 759: 591: 526:, respectively. Dickson became the first great American algebraist and number theorist. Robert Moore founded American topology. According to the 1538: 552: 1553: 1483: 1528: 1558: 805: 648: 640: 1548: 1543: 1303: 1394: 556: 779: 1503: 1418: 852: 774: 735: 538: 534: 527: 393: 1498: 1378: 835: 789: 732:
The emergence of the American mathematical research community, 1876–1900: J. J. Sylvester, Felix Klein, and E. H. Moore
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David Lindsay Roberts, "Moore's early twentieth century program for reform in mathematics education"
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This article is about the mathematician. For the U.S. congressman from Ohio, see
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The American Mathematical Society established a prize in his honor in 2002.
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At Chicago, Moore supervised 31 doctoral dissertations, including those of
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Extensions of Certain Theorems of Clifford and Cayley in the Geometry of
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Moore, the son of a Methodist minister and grandson of US Congressman
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On his return to the United States, Moore taught at Yale and at
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while in high school. He subsequently studied mathematics at
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Members of the United States National Academy of Sciences
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University of Chicago Special Collections Research Center
439:, proving in 1893 the classification of the structure of 325: 307: 518:. Birkhoff and Veblen went on to lead departments at 360:, discovered mathematics through a summer job at the 322: 812:
Guide to the Eliakim Hastings Moore Papers 1899–1931
313: 1354: 1239: 1132: 1017: 910: 859: 563:in 1908 in Rome and in 1912 in Cambridge, England. 328: 310: 282: 248: 236: 212: 191: 181: 166: 114: 103: 80: 58: 39: 544:Transactions of the American Mathematical Society 1534:Presidents of the American Mathematical Society 666:"The scientific work of Eliakim Hastings Moore" 475:. After 1906, he turned to the foundations of 836: 671:Bulletin of the American Mathematical Society 8: 714:The Search for Mathematical Roots 1870–1940 843: 829: 821: 485:Introduction to a form of general analysis 36: 683: 637:Lattices and Ordered Algebraic Structures 561:International Congress of Mathematicians 447:). Around 1900, he began working on the 760:MacTutor History of Mathematics Archive 603: 592:Moore determinant of a Hermitian matrix 553:American Academy of Arts and Sciences 7: 1494:20th-century American mathematicians 1489:19th-century American mathematicians 380:in 1885 with a thesis supervised by 617:. Yale University. October 15, 1933 559:. He was an Invited Speaker at the 547:, 1899–1907. He was elected to the 25: 806:The American Mathematical Monthly 303: 47: 1524:Northwestern University faculty 685:10.1090/s0002-9904-1934-05872-5 1514:American mathematical analysts 557:American Philosophical Society 1: 1539:University of Chicago faculty 853:American Mathematical Society 808:, vol. 108, 2001, pp. 689–696 775:Mathematics Genealogy Project 736:American Mathematical Society 539:American Mathematical Society 535:New York Mathematical Society 528:Mathematics Genealogy Project 170:AMS Colloquium Lecturer, 1906 790:National Academy of Sciences 549:National Academy of Sciences 483:first appeared in his 1910 368:, where he was a member of 283:Other notable students 1575: 1554:Members of Skull and Bones 1484:People from Marietta, Ohio 1106:Theophil Henry Hildebrandt 718:Princeton University Press 537:to change its name to the 29: 1529:American number theorists 594:over a quaternion algebra 292: 174: 46: 1559:Mathematicians from Ohio 765:University of St Andrews 425:Johns Hopkins University 396:, attending lectures by 386:William Kingdon Clifford 1549:Yale University faculty 1328:Cathleen Synge Morawetz 900:Robert Simpson Woodward 868:John Howard Van Amringe 449:foundations of geometry 409:Northwestern University 206:Northwestern University 125:Moore–Smith convergence 1544:Yale University alumni 983:Leonard Eugene Dickson 435:Moore first worked in 362:Cincinnati Observatory 299:Eliakim Hastings Moore 53:Eliakim Hastings Moore 27:American mathematician 1205:Charles B. Morrey Jr. 1197:Abraham Adrian Albert 1149:Gordon Thomas Whyburn 1042:Earle Raymond Hedrick 1026:George David Birkhoff 967:Edward Burr Van Vleck 710:Ivor Grattan-Guinness 576:Moore–Penrose inverse 455:for geometry so that 413:University of Chicago 196:University of Chicago 152:Galois representation 147:Moore–Penrose inverse 1504:American algebraists 1157:Raymond Louis Wilder 975:Ernest William Brown 785:Biographical Memoirs 751:Robertson, Edmund F. 581:Moore–Smith sequence 533:Moore convinced the 394:University of Berlin 1499:Algebraic geometers 1050:Luther P. Eisenhart 959:Henry Burchard Fine 935:William Fogg Osgood 884:George William Hill 749:O'Connor, John J.; 588:over a finite field 514:(no relation), and 487:. He also wrote on 479:. The concept of a 382:Hubert Anson Newton 243:Hubert Anson Newton 1509:American geometers 1058:Arthur Byron Coble 999:Gilbert Ames Bliss 851:Presidents of the 800:2010-07-13 at the 497:integral equations 489:algebraic geometry 451:. He reformulated 384:, on some work of 344:, was an American 1461: 1460: 1272:Andrew M. Gleason 1229:Saunders Mac Lane 1173:Edward J. McShane 1098:Marshall H. Stone 1082:Griffith C. Evans 1066:Solomon Lefschetz 943:Henry Seely White 398:Leopold Kronecker 342:E. Hastings Moore 296: 295: 261:T. H. Hildebrandt 249:Doctoral students 176:Scientific career 161:Axiomatic systems 84:December 30, 1932 16:(Redirected from 1566: 1454: 1446: 1438: 1430: 1422: 1414: 1406: 1403:Eric Friedlander 1398: 1390: 1382: 1374: 1366: 1347: 1339: 1331: 1323: 1315: 1307: 1299: 1291: 1288:Irving Kaplansky 1283: 1275: 1267: 1259: 1251: 1232: 1224: 1216: 1208: 1200: 1192: 1184: 1181:Deane Montgomery 1176: 1168: 1160: 1152: 1144: 1141:John von Neumann 1125: 1117: 1109: 1101: 1093: 1085: 1077: 1074:Robert Lee Moore 1069: 1061: 1053: 1045: 1037: 1029: 1010: 1002: 994: 986: 978: 970: 962: 954: 946: 938: 930: 922: 903: 895: 887: 879: 876:Emory McClintock 871: 845: 838: 831: 822: 767: 698: 697: 687: 658: 652: 633: 627: 626: 624: 622: 616: 608: 512:Robert Lee Moore 481:closure operator 461:primitive notion 453:Hilbert's axioms 437:abstract algebra 421:Heinrich Maschke 402:Karl Weierstrass 376:in 1883 and the 358:Eliakim H. Moore 335: 334: 331: 330: 327: 324: 321: 318: 315: 312: 309: 269:Robert Lee Moore 238:Doctoral advisor 232: 208:1886–87, 1889–92 120:General analysis 87: 69:January 26, 1862 68: 66: 51: 37: 32:Eliakim H. Moore 21: 1574: 1573: 1569: 1568: 1567: 1565: 1564: 1563: 1464: 1463: 1462: 1457: 1449: 1441: 1433: 1425: 1417: 1409: 1401: 1393: 1385: 1377: 1369: 1361: 1350: 1342: 1334: 1326: 1318: 1310: 1304:William Browder 1302: 1294: 1286: 1278: 1270: 1262: 1254: 1246: 1235: 1227: 1221:Nathan Jacobson 1219: 1211: 1203: 1195: 1187: 1179: 1171: 1163: 1155: 1147: 1139: 1128: 1122:Joseph L. Walsh 1120: 1112: 1104: 1096: 1088: 1080: 1072: 1064: 1056: 1048: 1040: 1032: 1024: 1013: 1005: 997: 989: 981: 973: 965: 957: 949: 941: 933: 925: 917: 906: 898: 890: 882: 874: 866: 855: 849: 802:Wayback Machine 748: 745: 706: 701: 660: 659: 655: 634: 630: 620: 618: 614: 610: 609: 605: 601: 572: 508:Leonard Dickson 504:George Birkhoff 469:metamathematics 463:, thus turning 433: 431:Accomplishments 372:and obtained a 370:Skull and Bones 366:Yale University 354: 306: 302: 275: 271: 267: 263: 259: 257:Leonard Dickson 255: 253:George Birkhoff 230: 204: 201:Yale University 199: 159: 150: 145: 136: 123: 108:Yale University 104:Alma mater 99: 98:, United States 89: 85: 76: 70: 64: 62: 54: 42: 35: 28: 23: 22: 15: 12: 11: 5: 1572: 1570: 1562: 1561: 1556: 1551: 1546: 1541: 1536: 1531: 1526: 1521: 1516: 1511: 1506: 1501: 1496: 1491: 1486: 1481: 1476: 1466: 1465: 1459: 1458: 1456: 1455: 1447: 1439: 1431: 1423: 1415: 1407: 1399: 1395:George Andrews 1391: 1383: 1375: 1371:David Eisenbud 1367: 1358: 1356: 1352: 1351: 1349: 1348: 1340: 1332: 1324: 1316: 1308: 1300: 1292: 1284: 1280:Julia Robinson 1276: 1268: 1260: 1252: 1243: 1241: 1237: 1236: 1234: 1233: 1225: 1217: 1209: 1201: 1193: 1189:Joseph L. Doob 1185: 1177: 1169: 1165:Richard Brauer 1161: 1153: 1145: 1136: 1134: 1130: 1129: 1127: 1126: 1118: 1110: 1102: 1094: 1086: 1078: 1070: 1062: 1054: 1046: 1038: 1030: 1021: 1019: 1015: 1014: 1012: 1011: 1003: 995: 987: 979: 971: 963: 955: 947: 939: 931: 923: 914: 912: 908: 907: 905: 904: 896: 888: 880: 872: 863: 861: 857: 856: 850: 848: 847: 840: 833: 825: 819: 818: 809: 792: 777: 768: 744: 743:External links 741: 740: 739: 724:Karen Parshall 721: 705: 702: 700: 699: 678:(7): 501–514. 653: 628: 602: 600: 597: 596: 595: 589: 583: 578: 571: 568: 459:were the only 432: 429: 353: 350: 294: 293: 290: 289: 284: 280: 279: 250: 246: 245: 240: 234: 233: 216: 210: 209: 193: 189: 188: 183: 179: 178: 172: 171: 168: 164: 163: 116: 115:Known for 112: 111: 105: 101: 100: 90: 88:(aged 70) 82: 78: 77: 73:Marietta, Ohio 71: 60: 56: 55: 52: 44: 43: 40: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 1571: 1560: 1557: 1555: 1552: 1550: 1547: 1545: 1542: 1540: 1537: 1535: 1532: 1530: 1527: 1525: 1522: 1520: 1517: 1515: 1512: 1510: 1507: 1505: 1502: 1500: 1497: 1495: 1492: 1490: 1487: 1485: 1482: 1480: 1477: 1475: 1472: 1471: 1469: 1452: 1448: 1444: 1440: 1436: 1432: 1428: 1424: 1420: 1419:Robert Bryant 1416: 1412: 1408: 1404: 1400: 1396: 1392: 1388: 1384: 1380: 1376: 1372: 1368: 1364: 1360: 1359: 1357: 1353: 1345: 1344:Felix Browder 1341: 1337: 1333: 1329: 1325: 1321: 1320:Ronald Graham 1317: 1313: 1312:Michael Artin 1309: 1305: 1301: 1297: 1296:George Mostow 1293: 1289: 1285: 1281: 1277: 1273: 1269: 1265: 1261: 1257: 1253: 1249: 1245: 1244: 1242: 1238: 1230: 1226: 1222: 1218: 1214: 1213:Oscar Zariski 1210: 1206: 1202: 1198: 1194: 1190: 1186: 1182: 1178: 1174: 1170: 1166: 1162: 1158: 1154: 1150: 1146: 1142: 1138: 1137: 1135: 1131: 1123: 1119: 1115: 1111: 1107: 1103: 1099: 1095: 1091: 1090:Marston Morse 1087: 1083: 1079: 1075: 1071: 1067: 1063: 1059: 1055: 1051: 1047: 1043: 1039: 1035: 1034:Virgil Snyder 1031: 1027: 1023: 1022: 1020: 1016: 1008: 1007:Oswald Veblen 1004: 1000: 996: 992: 988: 984: 980: 976: 972: 968: 964: 960: 956: 952: 951:Maxime Bôcher 948: 944: 940: 936: 932: 928: 924: 920: 916: 915: 913: 909: 901: 897: 893: 892:Simon Newcomb 889: 885: 881: 877: 873: 869: 865: 864: 862: 858: 854: 846: 841: 839: 834: 832: 827: 826: 823: 817: 813: 810: 807: 803: 799: 796: 793: 791: 787: 786: 781: 778: 776: 772: 769: 766: 762: 761: 756: 755:"E. H. Moore" 752: 747: 746: 742: 737: 733: 729: 728:David E. Rowe 725: 722: 719: 715: 711: 708: 707: 703: 695: 691: 686: 681: 677: 673: 672: 667: 663: 657: 654: 650: 649:1-85233-905-5 646: 642: 638: 632: 629: 613: 607: 604: 598: 593: 590: 587: 584: 582: 579: 577: 574: 573: 569: 567: 564: 562: 558: 554: 550: 546: 545: 540: 536: 531: 529: 525: 521: 517: 516:Oswald Veblen 513: 509: 505: 500: 498: 494: 493:number theory 490: 486: 482: 478: 474: 470: 466: 465:David Hilbert 462: 458: 454: 450: 446: 445:Galois fields 443:(also called 442: 441:finite fields 438: 430: 428: 426: 422: 418: 414: 410: 405: 403: 399: 395: 391: 390:Arthur Cayley 387: 383: 379: 375: 371: 367: 363: 359: 351: 349: 347: 346:mathematician 343: 339: 333: 300: 291: 288: 287:Anne Bosworth 285: 281: 278: 274: 273:Oswald Veblen 270: 266: 262: 258: 254: 251: 247: 244: 241: 239: 235: 228: 227: 222: 221: 217: 215: 211: 207: 202: 197: 194: 190: 187: 184: 180: 177: 173: 169: 165: 162: 157: 156:finite fields 153: 148: 143: 142:hull operator 139: 134: 130: 126: 121: 117: 113: 109: 106: 102: 97: 93: 83: 79: 74: 61: 57: 50: 45: 38: 33: 19: 1443:Ruth Charney 1379:James Arthur 1336:Arthur Jaffe 991:Frank Morley 927:Thomas Fiske 918: 783: 758: 731: 713: 675: 669: 662:Bliss, G. A. 656: 636: 635:T.S. Blyth, 631: 619:. Retrieved 606: 586:Moore matrix 565: 542: 532: 501: 484: 473:model theory 434: 406: 355: 341: 337: 298: 297: 277:Anna Wheeler 265:D. N. Lehmer 225: 218: 192:Institutions 175: 138:Moore family 86:(1932-12-30) 1479:1932 deaths 1474:1862 births 1453:(2023–2024) 1445:(2021–2022) 1437:(2019–2020) 1435:Jill Pipher 1429:(2017–2018) 1421:(2015–2016) 1413:(2013–2014) 1411:David Vogan 1405:(2011–2012) 1397:(2009–2010) 1389:(2007–2008) 1387:James Glimm 1381:(2005–2006) 1373:(2003–2004) 1365:(2001–2002) 1346:(1999–2000) 1338:(1997–1998) 1330:(1995–1996) 1322:(1993–1994) 1314:(1991–1992) 1306:(1989–1990) 1298:(1987–1988) 1290:(1985–1986) 1282:(1983–1984) 1274:(1981–1982) 1266:(1979–1980) 1258:(1977–1978) 1250:(1975–1976) 1248:Lipman Bers 1231:(1973–1974) 1223:(1971–1972) 1215:(1969–1970) 1207:(1967–1968) 1199:(1965–1966) 1191:(1963–1964) 1183:(1961–1962) 1175:(1959–1960) 1167:(1957–1958) 1159:(1955–1956) 1151:(1953–1954) 1143:(1951–1952) 1124:(1949–1950) 1116:(1947–1948) 1114:Einar Hille 1108:(1945–1946) 1100:(1943–1944) 1092:(1941–1942) 1084:(1939–1940) 1076:(1937–1938) 1068:(1935–1936) 1060:(1933–1934) 1052:(1931–1932) 1044:(1929–1930) 1036:(1927–1928) 1028:(1925–1926) 1009:(1923–1924) 1001:(1921–1922) 993:(1919–1920) 985:(1917–1918) 977:(1915–1916) 969:(1913–1914) 961:(1911–1912) 953:(1909–1910) 945:(1907–1908) 937:(1905–1906) 929:(1903–1904) 921:(1901–1902) 919:E. H. Moore 902:(1899–1900) 894:(1897–1898) 886:(1895–1896) 878:(1891–1894) 870:(1888–1890) 780:E. H. Moore 771:E. H. Moore 417:Oskar Bolza 411:. When the 338:E. H. Moore 186:Mathematics 41:E. H. Moore 1468:Categories 1363:Hyman Bass 1256:R. H. Bing 704:References 555:, and the 226:Dimensions 65:1862-01-26 18:E.H. Moore 1451:Bryna Kra 1427:Ken Ribet 1355:2001–2024 1264:Peter Lax 1240:1975–2000 1133:1951–1974 1018:1925–1950 911:1901–1924 860:1888–1900 621:April 18, 524:Princeton 110:(BA, PhD) 798:Archived 782:— 664:(1934). 643:, 2005, 641:Springer 570:See also 477:analysis 133:topology 96:Illinois 814:at the 788:of the 773:at the 730:(1994) 712:(2000) 694:1562892 651:, p. 11 520:Harvard 203:1887–89 198:1892–31 92:Chicago 692:  647:  551:, the 495:, and 457:points 231:(1885) 229:  214:Thesis 182:Fields 167:Awards 75:, U.S. 615:(PDF) 599:Notes 726:and 645:ISBN 623:2011 522:and 471:and 419:and 400:and 388:and 352:Life 140:and 129:nets 81:Died 59:Born 734:, 680:doi 427:. 378:PhD 340:or 154:of 131:in 127:of 1470:: 804:, 763:, 757:, 753:, 716:. 690:MR 688:. 676:40 674:. 668:. 639:, 510:, 506:, 499:. 491:, 404:. 374:BA 348:. 317:aɪ 122:", 94:, 844:e 837:t 830:v 738:. 720:. 696:. 682:: 625:. 332:/ 329:m 326:ɪ 323:k 320:ə 314:l 311:ˈ 308:ɪ 305:/ 301:( 224:n 158:, 149:, 144:, 135:, 118:" 67:) 63:( 34:. 20:)

Index

E.H. Moore
Eliakim H. Moore

Marietta, Ohio
Chicago
Illinois
Yale University
General analysis
Moore–Smith convergence
nets
topology
Moore family
hull operator
Moore–Penrose inverse
Galois representation
finite fields
Axiomatic systems
Mathematics
University of Chicago
Yale University
Northwestern University
Thesis
Extensions of Certain Theorems of Clifford and Cayley in the Geometry of
n Dimensions
Doctoral advisor
Hubert Anson Newton
George Birkhoff
Leonard Dickson
T. H. Hildebrandt
D. N. Lehmer

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