Knowledge

Hassler Whitney

Source 📝

2824: 434: 31: 493:. At Harvard, Birkhoff also got him a job as Instructor of Mathematics for the years 1930–31, and an Assistant Professorship for the years 1934–35. Later on he held the following working positions: NRC Fellow, Mathematics, 1931–33; Assistant Professor, 1935–40; Associate Professor, 1940–46, Professor, 1946–52; Professor Instructor, 867:
Whitney had, throughout the 1950s, an almost unique interest in the topology of singular spaces and in singularities of smooth maps. An old idea, implicit even in the notion of a simplicial complex, was to study a singular space by decomposing it into smooth pieces (nowadays called "strata"). Whitney
441:
Throughout his life he pursued two particular hobbies with excitement: music and mountain-climbing. An accomplished player of the violin and the viola, Whitney played with the Princeton Musical Amateurs. He would run outside, 6 to 12 miles every other day. As an undergraduate, with his cousin Bradley
915:
In 1967, he became involved full-time in educational problems, especially at the elementary school level. He spent many years in classrooms, both teaching mathematics and observing how it is taught. He spent four months teaching pre-algebra mathematics to a classroom of seventh graders and conducted
417:
He married three times: his first wife was Margaret R. Howell, married on the 30 May 1930. They had three children, James Newcomb, Carol and Marian. After his first divorce, on January 16, 1955 he married Mary Barnett Garfield. He and Mary had two daughters, Sarah Newcomb (later a notable
856:, as these concepts emerged in the late 1930s, and his work on algebraic topology continued into the 40s. He also returned to the study of functions in the 1940s, continuing his work on the extension problems formulated a decade earlier, and answering a question of 446:, New Hampshire in 1929. It was the hardest and most famous rock climb in the East. He was a member of the Swiss Alpine Society and the Yale Mountaineering Society (the precursor to the Yale Outdoors Club) and climbed most of the mountain peaks in Switzerland. 429:
to design a new residence for their family in Weston, Massachusetts. They purchased a rocky hillside site on a historic road, next door to another International Style house by Goodell from several years earlier, designed for Richard and Caroline Field.
880:
in the 1960s showed that these conditions give a very robust definition of stratified space. The singularities in low dimension of smooth mappings, later to come to prominence in the work of René Thom, were also first studied by Whitney.
923:
which he felt leads young pupils to avoid mathematics. Whitney spread the ideas of teaching mathematics to students in ways that relate the content to their own lives as opposed to teaching them rote memorization.
509:, 1957; Memorial Committee, Support of Research in Mathematical Sciences, National Research Council, 1966–67; President, International Commission of Mathematical Instruction, 1979–82; Research Mathematician, 659:
Whitney's lifelong interest in geometric properties of functions also began around this time. His earliest work in this subject was on the possibility of extending a function defined on a closed subset of
1775:
Much of the vast literature on the integral during the last two centuries concerns extending the class of integrable functions. In contrast, our viewpoint is akin to that taken by Hassler Whitney.
829:".) This basic result shows that manifolds may be treated intrinsically or extrinsically, as we wish. The intrinsic definition had been published only a few years earlier in the work of 6640: 1489:, p. 18). Kendig also writes that him apparently being in good health, the physicians attributed the cause of the stroke to the treatments for prostate cancer he was undergoing. 783: 819: 425:
Whitney and his first wife Margaret made an innovative decision in 1939 that influenced the history of modern architecture in New England, when they commissioned the architect
716: 687: 6660: 6675: 454:
Three years after his third marriage, on 10 May 1989, Whitney died in Princeton, after suffering a stroke. In accordance with his wish, Hassler Whitney's ashes rest atop
868:
was the first to see any subtlety in this definition, and pointed out that a good "stratification" should satisfy conditions he termed "A" and "B", now referred to as
899:
These aspects of Whitney's work have looked more unified, in retrospect and with the general development of singularity theory. Whitney's purely topological work (
426: 6645: 2860: 2391: 2097: 837:. These theorems opened the way for much more refined studies of embedding, immersion and also of smoothing—that is, the possibility of having various 2089: 2093: 1949: 1893: 6685: 6680: 6620: 2131: 1715: 2353: 6655: 6650: 2363: 932:
Hassler Whitney published 82 works: all his published articles, included the ones listed in this section and the preface of the book
916:
summer courses for teachers. He traveled widely to lecture on the subject in the United States and abroad. He worked toward removing
2348: 2853: 2384: 2337: 477:, where he received baccalaureate degrees in physics and in music, respectively in 1928 and in 1929. Later, in 1932, he earned a 6615: 6665: 2222: 2183: 1788: 3118: 510: 235: 5438: 2846: 2377: 422:), and Emily Baldwin. Finally, Whitney divorced his second wife and married Barbara Floyd Osterman on 8 February 1986. 605:
relied on some of his results. His work in graph theory culminated in a 1933 paper, where he laid the foundations for
2246: 2059: 1367: 1318: 1283: 1240: 1164: 1113: 1382: 1159: 1108: 5470: 1021: 958: 618: 443: 2158:(2013), "Chapter 4. Analysis and Algebra Meet Topology: Marston Morse, Hassler Whitney, and Saunders Mac Lane", 950: 2658: 2274: 2103: 1868: 553: 6635: 3083: 2023: 1342: 529: 521: 370:, was an artist and political activist. He was the paternal nephew of Connecticut Governor and Chief Justice 2107: 601:. Many of his contributions were to the graph-coloring, and the ultimate computer-assisted solution to the 6670: 5800: 2735: 541: 517: 494: 342: 220: 6625: 5552: 4338: 3840: 3258: 1877: 1675: 1672:
are 2-isomorphic if one can be transformed into the other by applying operations of the following types:
877: 750: 573: 533: 502: 230: 2126: 6508: 5772: 3498: 2567: 2041: 1079: 892:
applied with singularities on the boundary:. Later, his work on such topics inspired the researches of
792: 572:). In 1976 he was awarded the National Medal of Science. In 1980 he was elected honorary member of the 528:, 1949–54; Chairman of the Committee vis. lectureship, 1946–51; Committee Summer Instructor, 1953–54;, 692: 663: 4747: 4296: 3181: 2869: 2648: 2401: 2366:: Biography of Hassler Whitney from the Institute for Operations Research and the Management Sciences 2088:(2004), "Whitney's Geometric Integration and Its Use in Continuum Mechanics", in Capriz, Gianfranco; 1372: 1362: 1352: 1347: 900: 403: 175: 169: 2838: 2007: 402:
descendant, and Mary Hassler Newcomb, granddaughter of the first superintendent of the Coast Survey
6630: 6196: 5642: 4765: 4598: 2342: 2167: 1680: 279: 128: 2761: 1983: 718:
with certain smoothness properties. A complete solution to this problem was found only in 2005 by
537: 5507: 4221: 3346: 2332: 2238: 1083: 786: 367: 334: 4775: 1636: 6495: 6064: 5964: 5951: 5777: 4907: 4881: 4853: 4527: 4401: 4185: 3689: 3641: 3323: 3194: 2976: 2551: 2359:
Hassler Whitney — The First Century of the International Commission on Mathematical Instruction
1920: 1846: 1517: 1220: 1216: 375: 363: 359: 524:, 1946; Vice President, 1948–50 and Editor, American Journal of Mathematics, 1944–49; Editor, 6555: 5941: 5923: 5823: 5736: 5103: 4548: 3579: 3364: 3176: 3024: 2369: 1994: 614: 490: 387: 266: 181: 118: 70: 2603: 1944: 622: 6610: 6605: 6526: 6490: 6399: 6344: 6243: 6125: 6117: 6087: 5931: 5908: 5787: 5539: 5462: 4729: 4684: 4611: 4509: 4364: 4283: 4190: 3738: 3669: 3559: 3546: 3382: 3240: 3230: 3217: 3212: 2516: 2295: 2256: 2201: 2069: 1962: 1754: 1734: 1250: 1193: 1142: 1091: 1058: 1003: 918: 853: 842: 557: 525: 498: 338: 225: 4419: 2311: 2264: 2209: 2077: 1970: 1770: 1328: 1310: 1293: 1275: 1258: 1201: 1150: 1099: 1066: 1042: 1011: 987: 506: 8: 6576: 6339: 6331: 6284: 6045: 5992: 5974: 5815: 5718: 5433: 4944: 4931: 4822: 4716: 4637: 4485: 4451: 4406: 4377: 4346: 4260: 4236: 4177: 3989: 3958: 3712: 3564: 3425: 3420: 3405: 3189: 2751: 2328: 2234: 5446: 2526: 1738: 821:. (In 1944 he managed to reduce the dimension of the ambient space by 1, provided that 6448: 6266: 6173: 6020: 5946: 5302: 5138: 5071: 5020: 4788: 4711: 4556: 4435: 4414: 4351: 4149: 3984: 3860: 3835: 3817: 3767: 3541: 3526: 3513: 3508: 3485: 3305: 3207: 3016: 2828: 2709: 2668: 2419: 2358: 2299: 2189: 1898: 1855: 1793: 1758: 1724: 1377: 1357: 1181: 1130: 1046: 991: 889: 869: 834: 602: 482: 322: 215: 143: 113: 95: 1448:, p. 474): Thom cites Josiah Whitney explicitly while Chern simply states that:-" 6521: 6461: 6453: 6417: 6305: 6292: 6248: 6209: 6163: 6140: 6092: 6079: 6030: 5997: 5851: 5782: 5650: 5605: 5428: 5409: 5404: 5339: 5289: 5196: 5095: 5004: 4999: 4967: 4954: 4936: 4899: 4894: 4889: 4871: 4863: 4770: 4757: 4703: 4676: 4671: 4650: 4619: 4535: 4330: 4317: 4278: 4231: 4008: 3927: 3891: 3886: 3845: 3725: 3656: 3531: 3430: 3268: 3245: 2984: 2823: 2798: 2755: 2745: 2678: 2628: 2476: 2450: 2303: 2242: 2218: 2179: 2099:
Whence the Boundary Conditions in Modern Continuum Physics? (Roma 14–16 ottobre 2002)
2055: 1841: 1314: 1279: 1236: 849: 719: 645: 462: 371: 90: 2520: 2145: 1762: 1746: 6404: 6349: 6201: 6181: 6130: 6107: 6097: 6012: 5913: 5875: 5846: 5828: 5754: 5726: 5663: 5637: 5618: 5391: 5378: 5347: 5087: 5079: 4912: 4752: 4663: 4540: 4464: 4309: 4288: 4203: 4131: 4065: 3953: 3909: 3896: 3878: 3873: 3699: 3664: 3636: 3631: 3602: 3592: 3569: 3554: 3503: 3400: 3199: 3091: 2992: 2923: 2786: 2654: 2583: 2561: 2557: 2496: 2486: 2307: 2283: 2260: 2205: 2171: 2140: 2073: 2045: 1966: 1766: 1742: 1387: 1324: 1289: 1254: 1197: 1173: 1146: 1122: 1095: 1062: 1038: 1030: 1007: 983: 975: 967: 857: 838: 261: 2175: 6482: 6474: 6469: 6435: 6422: 6412: 6362: 6357: 6323: 6276: 6271: 6219: 6158: 6135: 5987: 5979: 5918: 5885: 5870: 5668: 5581: 5573: 5544: 5478: 5386: 5047: 5039: 5012: 4991: 4962: 4949: 4793: 4783: 4742: 4724: 4642: 4427: 4265: 4208: 4154: 4031: 4013: 3966: 3935: 3788: 3651: 3646: 3612: 3607: 3475: 3462: 3410: 3377: 3354: 3318: 3075: 2944: 2782: 2713: 2699: 2634: 2547: 2291: 2252: 2197: 2122: 2085: 2065: 1958: 1750: 1246: 1210: 1189: 1138: 1087: 1054: 999: 726: 577: 474: 379: 299: 82: 2577: 358:
Hassler Whitney was born on March 23, 1907, in New York City, where his father,
6563: 6516: 6430: 6394: 6153: 6145: 6112: 6069: 5880: 5767: 5610: 5557: 5520: 5499: 5365: 5352: 5315: 5294: 5284: 5260: 5241: 5188: 5146: 5063: 4876: 4827: 4798: 4632: 4514: 4490: 4443: 4372: 4304: 4273: 4213: 4172: 4144: 4060: 4052: 3904: 3822: 3746: 3720: 3694: 3684: 3674: 3587: 3518: 3490: 3457: 3449: 3336: 3331: 3281: 3168: 3126: 3059: 3008: 2968: 2963: 2936: 2904: 2792: 2741: 2703: 2674: 2638: 2607: 2415: 2155: 1710: 1232: 893: 458: 433: 419: 407: 386:
scholar. Whitney was the great-grandson of Connecticut Governor and US Senator
289: 2050: 1950:
Comptes rendus de l'Académie des sciences. Série générale, La Vie des sciences
1915: 979: 628:: one such theorem, now called Whitney's 2-Isomorphism Theorem, states: Given 6599: 6440: 6258: 6224: 6214: 6074: 6040: 5959: 5903: 5898: 5890: 5838: 5810: 5805: 5759: 5676: 5589: 5515: 5491: 5399: 5209: 5201: 4983: 4975: 4845: 4658: 4624: 4606: 4522: 4477: 4472: 4382: 4226: 4167: 4162: 4136: 4044: 4039: 3945: 3940: 3922: 3914: 3865: 3798: 3793: 3733: 3707: 3387: 3369: 3341: 3273: 3253: 3222: 3110: 3067: 3000: 2931: 2723: 2719: 2682: 2664: 2593: 2460: 2163: 904: 830: 826: 610: 411: 395: 391: 318: 156: 5276: 2506: 2480: 2429: 6568: 6550: 6545: 6375: 6370: 6318: 6253: 6186: 6035: 6002: 5969: 5833: 5744: 5486: 5454: 5320: 5233: 4858: 4835: 4456: 4359: 4021: 3976: 3971: 3850: 3780: 3762: 3754: 3679: 3597: 3467: 3415: 3392: 3310: 3263: 3235: 3032: 2729: 2587: 2571: 2500: 2456: 2446: 2193: 598: 581: 501:, 1952–77; Professor Emeritus, 1977–89; Chairman of the Mathematics Panel, 461:
in Switzerland where Oscar Burlet, another mathematician and member of the
123: 30: 1940: 873: 6503: 6310: 6191: 6168: 6102: 6025: 6007: 5795: 5749: 5731: 5655: 5565: 5217: 5111: 5055: 4734: 4325: 4255: 4195: 4112: 4070: 3855: 3574: 3536: 3359: 3051: 2765: 2597: 2530: 1302: 1267: 1078:, Princeton Mathematical Series, vol. 21, Princeton, NJ and London: 284: 202: 6297: 5936: 5597: 5373: 5268: 5225: 4840: 4803: 4026: 3827: 3775: 3286: 2808: 2644: 2624: 2470: 2425: 2287: 1185: 1134: 1050: 995: 133: 1859: 621:
in the mid 1930s. In this paper Whitney proved several theorems about
5360: 5130: 3480: 2868: 2804: 2510: 2490: 2272:
Shields, Allen (1988), "Differentiable manifolds: Weyl and Whitney",
2029: 1729: 1228: 744: 442:
Gilman, Whitney made the first ascent of the Whitney–Gilman ridge on
330: 294: 5168: 1177: 1126: 1034: 971: 2872: 606: 455: 383: 326: 2354:
Interview with Hassler Whitney about his experiences at Princeton
2028:, Mathematics and Its Application (Soviet Series), vol. 46, 1975: 1844:(September 1994), "Hassler Whitney (23 March 1907-10 May 1989)", 1476:, p. 18) clarifies Princeton, NJ as his correct death place. 399: 138: 2214: 2037: 2033: 1894:"Hassler Whitney, Geometrician; He Eased 'Mathematics Anxiety'" 1224: 245: 2399: 394:. His maternal grandparents were astronomer and mathematician 2233:, Oxford Graduate Texts in Mathematics, vol. 3, Oxford: 86: 390:, and the great-great-grandson of American founding father 6641:
Members of the United States National Academy of Sciences
825:> 2, by a technique that has come to be known as the " 478: 99: 1450:... a great uncle was the first to survey Mount Whitney 1274:, Contemporary Mathematicians, Basel–Boston–Stuttgart: 1834: 1608:
See the official list of honorary members redacted by
513:, 1943–45; Construction of the School of Mathematics. 2127:"Review: Geometric integration theory, by H. Whitney" 795: 753: 695: 666: 532:; American National Council Teachers of Mathematics, 6661:
Harvard University Department of Mathematics faculty
1309:, Contemporary Mathematicians, Boston–Basel–Berlin: 6676:
Harvard Graduate School of Arts and Sciences alumni
1615: 1307:
The collected papers of Hassler Whitney. Volume II.
597:Whitney's earliest work, from 1930 to 1933, was on 1272:The collected papers of Hassler Whitney. Volume I. 813: 777: 710: 681: 536:(Honorary), Swiss Mathematics Society (Honorary), 2884: 2326: 2102:, Atti dei Convegni Lincei, vol. 210, Roma: 1455: 1160:"The Mathematics of Physical Quantities. Part II" 951:"Congruent Graphs and the Connectivity of Graphs" 6597: 5169:Mathematical, statistical, and computer sciences 2096:; Pitteri, Mario; Podio-Guidugli, Paolo (eds.), 1713:(1993), "Stokes' theorem for nonsmooth chains", 1109:"The Mathematics of Physical Quantities. Part I" 1019:Whitney, Hassler (1933), "2-Isomorphic Graphs", 725:In a 1936 paper, Whitney gave a definition of a 317:(March 23, 1907 – May 10, 1989) was an American 1981: 576:. In 1982, he received the Wolf Prize from the 1984:"Moscow 1935: Topology Moving Towards America" 1498:The story of his resting place is reported by 6646:Members of the American Philosophical Society 2854: 2385: 2349:Hassler Whitney Page - Whitney Research Group 2132:Bulletin of the American Mathematical Society 1716:Bulletin of the American Mathematical Society 735:, and proved that, for high enough values of 1789:"About Education; Learning Math by Thinking" 1664:, pp. 147–153). Recall that two graphs 1424: 1422: 1420: 1418: 636:are graphs with no isolated vertices. Then 580:, and finally, in 1985, he was awarded the 437:The Whitney–Gilman ridge on Cannon Mountain 2861: 2847: 2392: 2378: 2144: 2049: 1786: 1728: 798: 756: 698: 669: 4578: 2153: 2015: 1819: 1815: 1709: 1592: 1588: 1515: 1415: 1300: 1265: 1215:, Addison-Wesley Series in Mathematics, 1157: 1106: 941: 937: 927: 584:from the American Mathematical Society. 569: 565: 432: 3148: 2870:United States National Medal of Science 2338:MacTutor History of Mathematics Archive 2271: 2121: 2084: 1697: 1621: 1208: 1073: 1018: 948: 933: 907:) entered the mainstream more quickly. 6598: 2021: 1945:"La vie et l'œuvre de Hassler Whitney" 1913: 1891: 1866: 1609: 1563: 1550: 1537: 1503: 1486: 1473: 1461: 848:He was one of the major developers of 562:The mathematics of Physical quantities 5698: 5697: 5167: 4577: 4091: 3147: 2883: 2842: 2373: 2228: 2022:Chirka, Evgeniǐ Mikhaǐlovich (1989), 1867:Fisher, Elizabeth (9 November 2012), 1840: 1661: 1576: 1499: 1441: 1428: 1409: 862:On Ideals of Differentiable Functions 552:In 1947 he was elected member of the 6686:Mathematicians from New York (state) 6681:Institute for Advanced Study faculty 6621:20th-century American mathematicians 1939: 1445: 1405: 617:independently introduced by him and 378:, professor of Ancient Languages at 6656:Wolf Prize in Mathematics laureates 6651:National Medal of Science laureates 1835:Biographical and general references 1634: 936:, are collected in the two volumes 778:{\displaystyle \mathbb {R} ^{2n+1}} 511:National Defense Research Committee 489:, written under the supervision of 236:National Defense Research Committee 13: 2106:, pp. 127–137, archived from 468: 465:, placed them on August 20, 1989. 14: 6697: 2320: 1368:Whitney graph isomorphism theorem 1165:The American Mathematical Monthly 1114:The American Mathematical Monthly 949:Whitney, Hassler (January 1932), 888:he gives a theoretical basis for 814:{\displaystyle \mathbb {R} ^{2n}} 739:, a smooth manifold of dimension 609:, a fundamental notion in modern 2822: 1787:Hechinger, Fred (10 June 1986). 1597:Academic Appointments and Awards 1516:O'Connor, JJ and E F Robertson. 711:{\displaystyle \mathbb {R} ^{n}} 682:{\displaystyle \mathbb {R} ^{n}} 485:. His doctoral dissertation was 321:. He was one of the founders of 29: 2146:10.1090/s0002-9904-1958-10143-3 1808: 1780: 1747:10.1090/S0273-0979-1993-00429-4 1703: 1690: 1654: 1627: 1602: 1582: 1569: 1556: 1543: 1022:American Journal of Mathematics 959:American Journal of Mathematics 619:Bartel Leendert van der Waerden 505:, 1953–56; Exchange Professor, 374:, his paternal grandfather was 325:, and did foundational work in 2275:The Mathematical Intelligencer 2104:Accademia Nazionale dei Lincei 1892:Fowler, Glenn (May 12, 1989), 1530: 1509: 1492: 1479: 1467: 1434: 1399: 554:American Philosophical Society 538:Académie des Sciences de Paris 1: 6616:Scientists from New York City 4092: 2885:Behavioral and social science 2176:10.4159/harvard.9780674726550 1914:Kendig, Keith (August 2013), 1870:Full list of Honorary Members 1828: 1383:Whitney's planarity criterion 556:. In 1969 he was awarded the 530:American Mathematical Society 522:American Mathematical Society 6666:Princeton University faculty 1358:Whitney's conditions A and B 1076:Geometric Integration Theory 886:Geometric Integration Theory 560:for the paper in two parts " 542:New York Academy of Sciences 518:National Academy of Sciences 495:Institute for Advanced Study 348: 343:geometric integration theory 221:Institute for Advanced Study 7: 1878:London Mathematical Society 1336: 910: 592: 574:London Mathematical Society 534:London Mathematical Society 503:National Science Foundation 231:National Science Foundation 10: 6702: 5773:Subrahmanyan Chandrasekhar 2042:Kluwer Academic Publishers 1305:; Toledo, Domingo (eds.), 1301:Whitney, Hassler (1992b), 1270:; Toledo, Domingo (eds.), 1266:Whitney, Hassler (1992a), 1212:Complex analytic varieties 1158:Whitney, Hassler (1968b), 1107:Whitney, Hassler (1968a), 1080:Princeton University Press 6535: 6384: 6233: 6054: 5860: 5708: 5704: 5693: 5627: 5529: 5418: 5329: 5250: 5178: 5174: 5163: 5120: 5029: 4921: 4812: 4748:William Hayward Pickering 4693: 4588: 4584: 4573: 4499: 4391: 4245: 4121: 4102: 4098: 4087: 3998: 3807: 3621: 3439: 3295: 3158: 3154: 3143: 3100: 3041: 2953: 2913: 2894: 2890: 2879: 2818: 2775: 2692: 2617: 2540: 2439: 2408: 2402:Wolf Prize in Mathematics 2051:10.1007/978-94-009-2366-9 1814:Complete bibliography in 1595:, p. xi), section, " 1502:, p. 467): see also 1373:Whitney immersion theorem 1363:Whitney embedding theorem 1348:Whitney extension theorem 1343:Loomis–Whitney inequality 1209:Whitney, Hassler (1972), 547: 404:Ferdinand Rudolph Hassler 362:, was the First District 308: 272: 260: 244: 208: 198: 191: 170:National Medal of Science 162: 152: 106: 78: 59: 40: 28: 21: 6197:Norman Foster Ramsey Jr. 5643:S. R. Srinivasa Varadhan 3274:Burrhus Frederic Skinner 2343:University of St Andrews 2168:Harvard University Press 1982:Hassler Whitney (1977). 1818:, pp. xii–xiv) and 1393: 940:, pp. xii–xiv) and 689:to a function on all of 449: 410:was the first to survey 129:Geometric measure theory 5508:Cathleen Synge Morawetz 3426:George Ledyard Stebbins 3347:James Augustine Shannon 2239:Oxford University Press 1084:Oxford University Press 587: 520:; Colloquium Lecturer, 516:He was a member of the 368:Josepha Newcomb Whitney 353: 251:The Coloring of Graphs 5965:Joseph O. Hirschfelder 5952:Kenneth Sanborn Pitzer 4908:Harry George Drickamer 4854:Hans Wolfgang Liepmann 4528:M. Frederick Hawthorne 4402:John D. Baldeschwieler 3642:Daniel E. Koshland Jr. 3324:Earl W. Sutherland Jr. 2829:Mathematics portal 2552:Ilya Piatetski-Shapiro 2002:Cite journal requires 1921:Celebratio Mathematica 1847:Proc. Am. Philos. Soc. 1698:Federer's review (1958 854:characteristic classes 815: 779: 712: 683: 623:the matroid of a graph 487:The Coloring of Graphs 438: 376:William Dwight Whitney 366:judge. His mother, A. 364:New York Supreme Court 360:Edward Baldwin Whitney 339:characteristic classes 16:American mathematician 6556:Sylvester James Gates 5942:William Alfred Fowler 5924:Robert Rathbun Wilson 5737:Robert Burns Woodward 4549:Geraldine L. Richmond 4297:Howard E. Simmons Jr. 3580:Rosalyn Sussman Yalow 3509:Vernon B. Mountcastle 3365:Sterling B. Hendricks 3182:Marshall W. Nirenberg 3177:Theodosius Dobzhansky 3025:William Julius Wilson 2762:Jean-François Le Gall 2229:Oxley, James (1992), 2025:Complex analytic sets 2016:Scientific references 1676:Vertex identification 1353:Stiefel–Whitney class 944:, pp. xii–xiv). 928:Selected publications 901:Stiefel–Whitney class 816: 780: 713: 684: 615:representation theory 540:(Foreign Associate); 491:George David Birkhoff 436: 427:Edwin B. Goodell, Jr. 388:Roger Sherman Baldwin 267:George David Birkhoff 182:Leroy P. Steele Prize 119:Differential topology 71:Princeton, New Jersey 35:Whitney in April 1973 6636:American topologists 6527:Warren M. Washington 6491:Fay Ajzenberg-Selove 6400:Jeremiah P. Ostriker 6345:Martin Schwarzschild 6126:Solomon J. Buchsbaum 6118:J. Robert Schrieffer 6088:E. Margaret Burbidge 5932:Nicolaas Bloembergen 5909:Arie Jan Haagen-Smit 5788:Vladimir K. Zworykin 5540:John Griggs Thompson 5463:Martin David Kruskal 5303:Kurt Otto Friedrichs 4776:Erwin Wilhelm Müller 4730:Ralph Brazelton Peck 4685:Jack St. Clair Kilby 4612:John Robinson Pierce 4579:Engineering sciences 4510:Jacqueline K. Barton 4365:George M. Whitesides 4284:Dudley R. Herschbach 4222:Richard B. Bernstein 4191:Walter H. Stockmayer 3739:Elizabeth F. Neufeld 3670:G. Evelyn Hutchinson 3560:Stanley Norman Cohen 3547:Rita Levi-Montalcini 3383:Keith Roberts Porter 3246:Alfred H. Sturtevant 3241:Michael Heidelberger 3213:Fritz Albert Lipmann 2679:Phillip A. Griffiths 2517:Friedrich Hirzebruch 2329:Robertson, Edmund F. 2241:, pp. xii+532, 1822:, pp. xii–xiv). 1313:, pp. xiv+596, 1278:, pp. xiv+590, 1074:Whitney, H. (1957), 919:mathematical anxiety 843:topological manifold 793: 751: 693: 664: 558:Lester R. Ford Award 526:Mathematical Reviews 499:Princeton University 226:Princeton University 6671:Yale College alumni 6577:Shirley Ann Jackson 6496:Charles P. Slichter 6340:Marshall Rosenbluth 6332:Wallace S. Broecker 6285:Eugene M. Shoemaker 6046:Victor F. Weisskopf 5993:Herbert S. Gutowsky 5975:Edgar Bright Wilson 5816:George Kistiakowsky 5434:Stephen Cole Kleene 4945:George H. Heilmeier 4932:Mildred Dresselhaus 4823:Edward H. Heinemann 4753:Frederick E. Terman 4717:Richard T. Whitcomb 4638:Clarence L. Johnson 4599:Theodore von Kármán 4486:Stephen J. Benkovic 4465:Mostafa A. El-Sayed 4452:Marvin H. Caruthers 4407:Ralph F. Hirschmann 4347:Darleane C. Hoffman 4237:Harden M. McConnell 4178:Frank H. Westheimer 3990:Stanley B. Prusiner 3954:Robert J. Lefkowitz 3713:Howard Martin Temin 3570:Maurice R. Hilleman 3565:Joseph L. Goldstein 3504:Donald A. Henderson 3421:Earl Reece Stadtman 3406:Elizabeth C. Crosby 3370:Orville Alvin Vogel 3200:Donald D. Van Slyke 3149:Biological sciences 2752:Alexander Beilinson 2327:O'Connor, John J.; 2235:The Clarendon Press 2170:, pp. 86–115, 1739:1993math.....10231H 1444:, p. 465) and 1408:, p. 474) and 1086:, pp. XV+387, 903:, basic results on 280:R. Eliot Chamberlin 54:New York City, U.S. 6626:American geometers 6449:G. Brent Dalrymple 6267:Arthur L. Schawlow 6174:James A. Van Allen 6065:Philip W. Anderson 6021:Richard P. Feynman 5947:Linus Carl Pauling 5582:Dennis P. Sullivan 5139:John B. Goodenough 5072:Edwin N. Lightfoot 5040:Yuan-Cheng B. Fung 5021:Kenneth N. Stevens 4789:Raymond D. Mindlin 4712:Harold E. Edgerton 4557:A. Paul Alivisatos 4436:Stephen J. Lippard 4415:Ernest R. Davidson 4352:Harold S. Johnston 4186:William S. Johnson 4150:George C. Pimentel 3985:Susan L. Lindquist 3967:Francis S. Collins 3861:Victor A. McKusick 3836:Francisco J. Ayala 3818:Nancy C. Andreasen 3768:Robert A. Weinberg 3542:Har Gobind Khorana 3527:Michael E. DeBakey 3514:George Emil Palade 3486:Wendell L. Roelofs 3476:Howard L. Bachrach 3306:Barbara McClintock 3208:Edward F. Knipling 2783:Simon K. Donaldson 2710:Michael Aschbacher 2669:Hillel Furstenberg 2288:10.1007/bf03028349 1899:The New York Times 1842:Chern, Shiing-Shen 1794:The New York Times 1591:, p. xi) and 1378:Whitney inequality 980:10338.dmlcz/101067 870:Whitney conditions 835:J. H. C. Whitehead 811: 775: 708: 679: 656:are 2-isomorphic. 603:four-color problem 483:Harvard University 481:in mathematics at 439: 406:. His great uncle 323:singularity theory 216:Harvard University 144:Singularity theory 114:Algebraic topology 96:Harvard University 6593: 6592: 6589: 6588: 6585: 6584: 6522:Esther M. Conwell 6462:Robert N. Clayton 6454:Riccardo Giacconi 6418:Raymond Davis Jr. 6306:Albert Overhauser 6249:Edwin M. McMillan 6210:Arnold O. Beckman 6187:Paul Ching-Wu Chu 6164:Paul C. Lauterbur 6141:Robert Hofstadter 6093:Maurice Goldhaber 6080:Charles H. Townes 6031:Edward M. Purcell 5998:Frederick Rossini 5852:Wolfgang Panofsky 5783:John H. Van Vleck 5699:Physical sciences 5689: 5688: 5685: 5684: 5651:Solomon W. Golomb 5611:Andrew J. Viterbi 5606:Leonard Kleinrock 5553:Calyampudi R. Rao 5521:Ronald R. Coifman 5429:George F. Carrier 5410:Donald C. Spencer 5405:Saunders Mac Lane 5340:Marshall H. Stone 5290:Shiing-Shen Chern 5197:Solomon Lefschetz 5159: 5158: 5155: 5154: 5096:David J. Wineland 5064:John M. Prausnitz 5005:C. Kumar N. Patel 5000:James L. Flanagan 4968:John Roy Whinnery 4955:H. Guyford Stever 4937:Nick Holonyak Jr. 4900:George W. Housner 4895:Willis M. Hawkins 4890:Daniel C. Drucker 4872:Robert Byron Bird 4864:Bernard M. Oliver 4771:Peter C. Goldmark 4758:Wernher von Braun 4704:George E. Mueller 4677:Nathan M. Newmark 4672:J. Presper Eckert 4651:Claude E. Shannon 4620:Charles S. Draper 4569: 4568: 4565: 4564: 4536:Judith P. Klinman 4420:Gábor A. Somorjai 4331:Isabella L. Karle 4318:George S. Hammond 4279:Gertrude B. Elion 4232:Rudolph A. Marcus 4083: 4082: 4079: 4078: 4009:Ralph L. Brinster 3928:Torsten N. Wiesel 3905:Norman E. Borlaug 3892:Solomon H. Snyder 3887:J. Michael Bishop 3846:Mario R. Capecchi 3726:Salome G. Waelsch 3657:E. Donnall Thomas 3532:Theodor O. Diener 3431:Paul Alfred Weiss 3259:Bernard B. Brodie 3195:George G. Simpson 3139: 3138: 3135: 3134: 3084:Michael I. Posner 2985:Eleanor J. Gibson 2937:George J. Stigler 2905:Neal Elgar Miller 2836: 2835: 2799:Ingrid Daubechies 2756:Vladimir Drinfeld 2746:Charles Fefferman 2629:Jean-Pierre Serre 2477:Shiing-Shen Chern 2451:Andrey Kolmogorov 2400:Laureates of the 2333:"Hassler Whitney" 2223:978-0-674-72655-0 2185:978-0-674-72500-3 1974:, available from 1916:"Hassler Whitney" 1566:, pp. 9–10). 1540:, pp. 8–10). 1518:"Hassler Whitney" 1311:Birkhäuser Verlag 1276:Birkhäuser Verlag 850:cohomology theory 839:smooth structures 720:Charles Fefferman 507:Collège de France 473:Whitney attended 463:Swiss Alpine Club 372:Simeon E. Baldwin 312: 311: 273:Doctoral students 193:Scientific career 6693: 6405:Gilbert F. White 6350:George Wetherill 6244:Allan M. Cormack 6202:Jack Steinberger 6182:D. Allan Bromley 6131:H. Richard Crane 6108:Frederick Reines 6098:Helmut Landsberg 6013:George Uhlenbeck 5914:Vladimir Haensel 5876:Allan R. Sandage 5847:Herbert C. Brown 5829:Herbert Friedman 5755:Leon M. Lederman 5727:Julian Schwinger 5706: 5705: 5695: 5694: 5664:Alexandre Chorin 5638:Richard A. Tapia 5619:David B. Mumford 5447:Alberto Calderón 5392:Joseph B. Keller 5379:Michael Freedman 5348:Herman Goldstine 5202:H. Marston Morse 5176: 5175: 5165: 5164: 5104:Rudolf E. Kálmán 5088:Robert S. Langer 5080:Jan D. Achenbach 4913:Herbert E. Grier 4664:Igor I. Sikorsky 4625:Othmar H. Ammann 4586: 4585: 4575: 4574: 4541:Jerrold Meinwald 4310:Norman Hackerman 4289:Glenn T. Seaborg 4204:William O. Baker 4132:F. Albert Cotton 4100: 4099: 4089: 4088: 4066:Mary-Claire King 3959:Bert W. O'Malley 3915:Thomas E. Starzl 3910:Phillip A. Sharp 3897:Charles Yanofsky 3879:Evelyn M. Witkin 3874:James E. Darnell 3700:Paul C. Zamecnik 3665:Mary Ellen Avery 3637:Herbert W. Boyer 3632:Baruj Benacerraf 3603:Joshua Lederberg 3593:Viktor Hamburger 3555:Michael S. Brown 3401:Robert H. Burris 3156: 3155: 3145: 3144: 3092:Mortimer Mishkin 3017:William K. Estes 3001:Roger N. Shepard 2993:Robert K. Merton 2977:George A. Miller 2924:Herbert A. Simon 2892: 2891: 2881: 2880: 2863: 2856: 2849: 2840: 2839: 2827: 2826: 2787:Yakov Eliashberg 2683:David B. Mumford 2655:Grigory Margulis 2584:Robert Langlands 2562:John G. Thompson 2558:Lennart Carleson 2527:Alberto Calderón 2497:Samuel Eilenberg 2487:Kunihiko Kodaira 2394: 2387: 2380: 2371: 2370: 2345: 2314: 2267: 2212: 2160:A History in Sum 2149: 2148: 2123:Federer, Herbert 2117: 2116: 2115: 2090:Grioli, Giuseppe 2086:Epstein, Marcelo 2080: 2053: 2011: 2005: 2000: 1998: 1990: 1988: 1973: 1936: 1935: 1933: 1909: 1908: 1906: 1887: 1886: 1884: 1875: 1862: 1823: 1812: 1806: 1805: 1803: 1801: 1784: 1778: 1777: 1732: 1707: 1701: 1694: 1688: 1671: 1667: 1658: 1652: 1650: 1648: 1646: 1641: 1631: 1625: 1619: 1613: 1606: 1600: 1586: 1580: 1573: 1567: 1560: 1554: 1547: 1541: 1534: 1528: 1527: 1525: 1524: 1513: 1507: 1496: 1490: 1483: 1477: 1471: 1465: 1459: 1453: 1438: 1432: 1426: 1413: 1403: 1388:Whitney umbrella 1331: 1296: 1261: 1204: 1153: 1102: 1069: 1014: 955: 860:in a 1948 paper 858:Laurent Schwartz 820: 818: 817: 812: 810: 809: 801: 784: 782: 781: 776: 774: 773: 759: 733: 717: 715: 714: 709: 707: 706: 701: 688: 686: 685: 680: 678: 677: 672: 655: 651: 643: 639: 635: 631: 627: 262:Doctoral advisor 256: 66: 50: 48: 33: 19: 18: 6701: 6700: 6696: 6695: 6694: 6692: 6691: 6690: 6631:Graph theorists 6596: 6595: 6594: 6581: 6569:Sean C. Solomon 6531: 6483:Daniel Kleppner 6475:Lonnie Thompson 6470:Ralph A. Alpher 6436:W. Jason Morgan 6423:Charles Keeling 6413:Marvin L. Cohen 6380: 6363:John N. Bahcall 6358:Don L. Anderson 6324:Peter Goldreich 6277:Steven Weinberg 6229: 6159:Walter Elsasser 6136:Herman Feshbach 6050: 5988:Samuel Goudsmit 5980:Chien-Shiung Wu 5919:Frederick Seitz 5886:John A. Wheeler 5871:Robert H. Dicke 5856: 5719:Luis W. Alvarez 5700: 5681: 5669:David Blackwell 5623: 5574:Carl R. de Boor 5545:Karen Uhlenbeck 5525: 5479:Louis Nirenberg 5414: 5387:Ralph E. Gomory 5325: 5321:Donald E. Knuth 5308:Hassler Whitney 5246: 5170: 5151: 5116: 5048:Andreas Acrivos 5025: 5013:Eli Ruckenstein 4992:Hermann A. Haus 4963:Calvin F. Quate 4950:Luna B. Leopold 4917: 4808: 4794:Robert N. Noyce 4784:Emmett N. Leith 4743:Manson Benedict 4725:Rudolf Kompfner 4689: 4643:Warren K. Lewis 4580: 4561: 4495: 4457:Peter B. Dervan 4428:John I. Brauman 4387: 4339:Norman Davidson 4266:John D. Roberts 4241: 4209:Konrad E. Bloch 4155:Richard N. Zare 4117: 4094: 4075: 4032:Sallie Chisholm 4014:Rudolf Jaenisch 3994: 3977:J. Craig Venter 3936:Rita R. Colwell 3803: 3789:David Baltimore 3680:Robert W. Kates 3652:David G. Nathan 3647:Edward B. Lewis 3617: 3613:Harland G. Wood 3608:Roger W. Sperry 3463:Glenn W. Burton 3435: 3411:Arthur Kornberg 3378:Roger Guillemin 3355:Hallowell Davis 3319:Daniel I. Arnon 3311:Albert B. Sabin 3291: 3264:Detlev W. Bronk 3236:Harry F. Harlow 3231:Kenneth S. Cole 3218:William C. Rose 3190:Francis P. Rous 3150: 3131: 3096: 3076:Gordon H. Bower 3037: 3033:Robert M. Solow 2949: 2945:Milton Friedman 2909: 2886: 2875: 2867: 2837: 2832: 2821: 2814: 2771: 2736:James G. Arthur 2714:Luis Caffarelli 2700:Dennis Sullivan 2688: 2635:Vladimir Arnold 2613: 2548:Ennio De Giorgi 2536: 2467:Hassler Whitney 2435: 2404: 2398: 2323: 2318: 2249: 2186: 2156:Yau, Shing-Tung 2113: 2111: 2094:Magenes, Enrico 2062: 2018: 2003: 2001: 1992: 1991: 1986: 1931: 1929: 1904: 1902: 1882: 1880: 1873: 1837: 1831: 1826: 1813: 1809: 1799: 1797: 1785: 1781: 1711:Harrison, Jenny 1708: 1704: 1695: 1691: 1681:Vertex cleaving 1669: 1665: 1659: 1655: 1644: 1642: 1639: 1635:Johnson, Will. 1632: 1628: 1620: 1616: 1607: 1603: 1587: 1583: 1579:, p. 465). 1574: 1570: 1561: 1557: 1548: 1544: 1535: 1531: 1522: 1520: 1514: 1510: 1497: 1493: 1484: 1480: 1472: 1468: 1460: 1456: 1439: 1435: 1427: 1416: 1412:, p. 465). 1404: 1400: 1396: 1339: 1321: 1286: 1243: 1178:10.2307/2314953 1127:10.2307/2315883 1035:10.2307/2371127 972:10.2307/2371086 953: 930: 913: 890:Stokes' theorem 802: 797: 796: 794: 791: 790: 760: 755: 754: 752: 749: 748: 731: 727:smooth manifold 702: 697: 696: 694: 691: 690: 673: 668: 667: 665: 662: 661: 653: 649: 648:if and only if 641: 637: 633: 629: 625: 595: 590: 578:Wolf Foundation 550: 475:Yale University 471: 469:Academic career 452: 444:Cannon Mountain 398:(1835-1909), a 382:, linguist and 380:Yale University 356: 351: 315:Hassler Whitney 304: 300:Herbert Robbins 254: 240: 187: 148: 94: 83:Yale University 79:Alma mater 74: 68: 64: 55: 52: 46: 44: 36: 24: 23:Hassler Whitney 17: 12: 11: 5: 6699: 6689: 6688: 6683: 6678: 6673: 6668: 6663: 6658: 6653: 6648: 6643: 6638: 6633: 6628: 6623: 6618: 6613: 6608: 6591: 6590: 6587: 6586: 6583: 6582: 6580: 6579: 6574: 6571: 6566: 6564:Burton Richter 6561: 6558: 6553: 6548: 6543: 6539: 6537: 6533: 6532: 6530: 6529: 6524: 6519: 6517:Yakir Aharonov 6514: 6511: 6506: 6501: 6498: 6493: 6488: 6485: 6480: 6477: 6472: 6467: 6464: 6459: 6456: 6451: 6446: 6443: 6438: 6433: 6431:Richard Garwin 6428: 6425: 6420: 6415: 6410: 6407: 6402: 6397: 6395:Willis E. Lamb 6392: 6388: 6386: 6382: 6381: 6379: 6378: 6373: 6368: 6365: 6360: 6355: 6352: 6347: 6342: 6337: 6334: 6329: 6326: 6321: 6316: 6313: 6308: 6303: 6300: 6295: 6290: 6287: 6282: 6279: 6274: 6269: 6264: 6261: 6256: 6251: 6246: 6241: 6237: 6235: 6231: 6230: 6228: 6227: 6222: 6217: 6212: 6207: 6204: 6199: 6194: 6189: 6184: 6179: 6176: 6171: 6166: 6161: 6156: 6154:Philip Abelson 6151: 6148: 6146:Chen-Ning Yang 6143: 6138: 6133: 6128: 6123: 6120: 6115: 6113:Bruno B. Rossi 6110: 6105: 6100: 6095: 6090: 6085: 6082: 6077: 6072: 6070:Yoichiro Nambu 6067: 6062: 6058: 6056: 6052: 6051: 6049: 6048: 6043: 6038: 6033: 6028: 6023: 6018: 6015: 6010: 6005: 6000: 5995: 5990: 5985: 5982: 5977: 5972: 5967: 5962: 5957: 5954: 5949: 5944: 5939: 5934: 5929: 5926: 5921: 5916: 5911: 5906: 5901: 5896: 5893: 5888: 5883: 5881:John C. Slater 5878: 5873: 5868: 5864: 5862: 5858: 5857: 5855: 5854: 5849: 5844: 5841: 5836: 5831: 5826: 5821: 5818: 5813: 5808: 5803: 5798: 5793: 5790: 5785: 5780: 5775: 5770: 5768:Jacob Bjerknes 5765: 5762: 5757: 5752: 5747: 5742: 5739: 5734: 5729: 5724: 5721: 5716: 5712: 5710: 5702: 5701: 5691: 5690: 5687: 5686: 5683: 5682: 5680: 5679: 5674: 5671: 5666: 5661: 5658: 5653: 5648: 5645: 5640: 5635: 5631: 5629: 5625: 5624: 5622: 5621: 5616: 5613: 5608: 5603: 5600: 5595: 5592: 5587: 5584: 5579: 5576: 5571: 5568: 5566:James G. Glimm 5563: 5560: 5558:Elias M. Stein 5555: 5550: 5547: 5542: 5537: 5533: 5531: 5527: 5526: 5524: 5523: 5518: 5513: 5510: 5505: 5502: 5500:Shing-Tung Yau 5497: 5494: 5489: 5484: 5481: 5476: 5473: 5468: 5465: 5460: 5457: 5452: 5449: 5444: 5441: 5436: 5431: 5426: 5422: 5420: 5416: 5415: 5413: 5412: 5407: 5402: 5397: 5394: 5389: 5384: 5381: 5376: 5371: 5368: 5366:Antoni Zygmund 5363: 5358: 5355: 5353:Isadore Singer 5350: 5345: 5342: 5337: 5333: 5331: 5327: 5326: 5324: 5323: 5318: 5316:Joseph L. Doob 5313: 5310: 5305: 5300: 5297: 5295:George Dantzig 5292: 5287: 5285:John W. Backus 5282: 5279: 5274: 5271: 5266: 5263: 5261:Richard Brauer 5258: 5254: 5252: 5248: 5247: 5245: 5244: 5242:William Feller 5239: 5236: 5231: 5228: 5223: 5220: 5215: 5212: 5207: 5204: 5199: 5194: 5191: 5189:Norbert Wiener 5186: 5182: 5180: 5172: 5171: 5161: 5160: 5157: 5156: 5153: 5152: 5150: 5149: 5147:Thomas Kailath 5144: 5141: 5136: 5133: 5128: 5124: 5122: 5118: 5117: 5115: 5114: 5109: 5106: 5101: 5098: 5093: 5090: 5085: 5082: 5077: 5074: 5069: 5066: 5061: 5058: 5053: 5050: 5045: 5042: 5037: 5033: 5031: 5027: 5026: 5024: 5023: 5018: 5015: 5010: 5007: 5002: 4997: 4994: 4989: 4986: 4981: 4978: 4973: 4970: 4965: 4960: 4957: 4952: 4947: 4942: 4939: 4934: 4929: 4925: 4923: 4919: 4918: 4916: 4915: 4910: 4905: 4902: 4897: 4892: 4887: 4884: 4879: 4877:H. Bolton Seed 4874: 4869: 4866: 4861: 4856: 4851: 4848: 4843: 4838: 4833: 4830: 4828:Donald L. Katz 4825: 4820: 4816: 4814: 4810: 4809: 4807: 4806: 4801: 4799:Earl R. Parker 4796: 4791: 4786: 4781: 4778: 4773: 4768: 4763: 4760: 4755: 4750: 4745: 4740: 4737: 4732: 4727: 4722: 4719: 4714: 4709: 4706: 4701: 4697: 4695: 4691: 4690: 4688: 4687: 4682: 4679: 4674: 4669: 4666: 4661: 4656: 4653: 4648: 4645: 4640: 4635: 4633:Hugh L. Dryden 4630: 4627: 4622: 4617: 4614: 4609: 4604: 4601: 4596: 4592: 4590: 4582: 4581: 4571: 4570: 4567: 4566: 4563: 4562: 4560: 4559: 4554: 4551: 4546: 4543: 4538: 4533: 4530: 4525: 4520: 4517: 4515:Peter J. Stang 4512: 4507: 4503: 4501: 4497: 4496: 4494: 4493: 4491:Marye Anne Fox 4488: 4483: 4480: 4475: 4470: 4467: 4462: 4459: 4454: 4449: 4446: 4444:Tobin J. Marks 4441: 4438: 4433: 4430: 4425: 4422: 4417: 4412: 4409: 4404: 4399: 4395: 4393: 4389: 4388: 4386: 4385: 4380: 4375: 4373:Stuart A. Rice 4370: 4367: 4362: 4357: 4354: 4349: 4344: 4341: 4336: 4333: 4328: 4323: 4320: 4315: 4312: 4307: 4305:Donald J. Cram 4302: 4299: 4294: 4291: 4286: 4281: 4276: 4274:Ronald Breslow 4271: 4268: 4263: 4258: 4253: 4249: 4247: 4243: 4242: 4240: 4239: 4234: 4229: 4224: 4219: 4216: 4214:Elias J. Corey 4211: 4206: 4201: 4198: 4193: 4188: 4183: 4180: 4175: 4173:Carl S. Marvel 4170: 4165: 4160: 4157: 4152: 4147: 4145:Roald Hoffmann 4142: 4139: 4134: 4129: 4125: 4123: 4119: 4118: 4116: 4115: 4110: 4106: 4104: 4096: 4095: 4085: 4084: 4081: 4080: 4077: 4076: 4074: 4073: 4068: 4063: 4061:Stanley Falkow 4058: 4055: 4053:Rakesh K. Jain 4050: 4047: 4042: 4037: 4034: 4029: 4024: 4019: 4016: 4011: 4006: 4002: 4000: 3996: 3995: 3993: 3992: 3987: 3982: 3979: 3974: 3969: 3964: 3961: 3956: 3951: 3948: 3943: 3938: 3933: 3930: 3925: 3920: 3917: 3912: 3907: 3902: 3899: 3894: 3889: 3884: 3881: 3876: 3871: 3868: 3863: 3858: 3856:Gene E. Likens 3853: 3848: 3843: 3841:George F. Bass 3838: 3833: 3830: 3825: 3823:Peter H. Raven 3820: 3815: 3811: 3809: 3805: 3804: 3802: 3801: 3796: 3791: 3786: 3783: 3778: 3773: 3770: 3765: 3760: 3757: 3752: 3749: 3747:Alexander Rich 3744: 3741: 3736: 3731: 3728: 3723: 3721:Daniel Nathans 3718: 3715: 3710: 3705: 3702: 3697: 3695:Folke K. Skoog 3692: 3687: 3685:Salvador Luria 3682: 3677: 3675:Elvin A. Kabat 3672: 3667: 3662: 3659: 3654: 3649: 3644: 3639: 3634: 3629: 3625: 3623: 3619: 3618: 3616: 3615: 3610: 3605: 3600: 3595: 3590: 3588:Katherine Esau 3585: 3582: 3577: 3575:Eric R. Kandel 3572: 3567: 3562: 3557: 3552: 3549: 3544: 3539: 3534: 3529: 3524: 3521: 3519:Joan A. Steitz 3516: 3511: 3506: 3501: 3496: 3493: 3491:Berta Scharrer 3488: 3483: 3478: 3473: 3470: 3465: 3460: 3458:Seymour Benzer 3455: 3452: 3450:Philip Handler 3447: 3443: 3441: 3437: 3436: 3434: 3433: 3428: 3423: 3418: 3413: 3408: 3403: 3398: 3395: 3390: 3385: 3380: 3375: 3372: 3367: 3362: 3357: 3352: 3349: 3344: 3339: 3337:Erwin Chargaff 3334: 3332:Britton Chance 3329: 3326: 3321: 3316: 3313: 3308: 3303: 3299: 3297: 3293: 3292: 3290: 3289: 3284: 3282:Robert Huebner 3279: 3276: 3271: 3266: 3261: 3256: 3251: 3248: 3243: 3238: 3233: 3228: 3225: 3220: 3215: 3210: 3205: 3202: 3197: 3192: 3187: 3184: 3179: 3174: 3171: 3169:C. B. van Niel 3166: 3162: 3160: 3152: 3151: 3141: 3140: 3137: 3136: 3133: 3132: 3130: 3129: 3127:Albert Bandura 3124: 3121: 3119:Robert Axelrod 3116: 3113: 3108: 3104: 3102: 3098: 3097: 3095: 3094: 3089: 3086: 3081: 3078: 3073: 3070: 3065: 3062: 3060:R. Duncan Luce 3057: 3054: 3049: 3045: 3043: 3039: 3038: 3036: 3035: 3030: 3027: 3022: 3019: 3014: 3011: 3009:Paul Samuelson 3006: 3003: 2998: 2995: 2990: 2987: 2982: 2979: 2974: 2971: 2969:Patrick Suppes 2966: 2964:Leonid Hurwicz 2961: 2957: 2955: 2951: 2950: 2948: 2947: 2942: 2939: 2934: 2929: 2926: 2921: 2917: 2915: 2911: 2910: 2908: 2907: 2902: 2898: 2896: 2888: 2887: 2877: 2876: 2866: 2865: 2858: 2851: 2843: 2834: 2833: 2819: 2816: 2815: 2813: 2812: 2802: 2796: 2793:George Lusztig 2790: 2779: 2777: 2773: 2772: 2770: 2769: 2766:Gregory Lawler 2759: 2749: 2742:Richard Schoen 2739: 2733: 2727: 2717: 2707: 2704:Shing-Tung Yau 2696: 2694: 2690: 2689: 2687: 2686: 2675:Pierre Deligne 2672: 2662: 2659:Sergei Novikov 2652: 2642: 2639:Saharon Shelah 2632: 2621: 2619: 2615: 2614: 2612: 2611: 2608:Elias M. Stein 2601: 2598:Yakov G. Sinai 2591: 2581: 2575: 2568:Mikhail Gromov 2565: 2555: 2544: 2542: 2538: 2537: 2535: 2534: 2524: 2521:Lars Hörmander 2514: 2504: 2494: 2484: 2474: 2464: 2454: 2443: 2441: 2437: 2436: 2434: 2433: 2423: 2420:Carl L. Siegel 2416:Israel Gelfand 2412: 2410: 2406: 2405: 2397: 2396: 2389: 2382: 2374: 2368: 2367: 2361: 2356: 2351: 2346: 2322: 2321:External links 2319: 2317: 2316: 2269: 2247: 2231:Matroid Theory 2226: 2184: 2154:Nadis, Steve; 2151: 2119: 2082: 2060: 2017: 2014: 2013: 2012: 2004:|journal= 1979: 1957:(6): 473–476, 1937: 1911: 1889: 1864: 1854:(3): 464–467, 1836: 1833: 1832: 1830: 1827: 1825: 1824: 1820:Whitney (1992b 1816:Whitney (1992a 1807: 1779: 1723:(2): 235–242, 1719:, New Series, 1702: 1689: 1687: 1686: 1683: 1678: 1653: 1626: 1622:Whitney (1933) 1614: 1601: 1593:Whitney (1992b 1589:Whitney (1992a 1581: 1568: 1555: 1542: 1529: 1508: 1506:, p. 18). 1491: 1478: 1466: 1454: 1433: 1431:, p. 465) 1414: 1397: 1395: 1392: 1391: 1390: 1385: 1380: 1375: 1370: 1365: 1360: 1355: 1350: 1345: 1338: 1335: 1334: 1333: 1319: 1298: 1284: 1263: 1241: 1233:Addison-Wesley 1206: 1172:(3): 227–256, 1155: 1121:(2): 115–138, 1104: 1071: 1029:(1): 245–254, 1016: 966:(1): 150–168, 942:Whitney (1992b 938:Whitney (1992a 934:Whitney (1957) 929: 926: 912: 909: 905:vector bundles 894:Jenny Harrison 872:. The work of 808: 805: 800: 772: 769: 766: 763: 758: 705: 700: 676: 671: 594: 591: 589: 586: 549: 546: 470: 467: 459:Dents Blanches 451: 448: 420:Sally Thurston 418:statistician, 408:Josiah Whitney 355: 352: 350: 347: 310: 309: 306: 305: 303: 302: 297: 292: 290:Wilfred Kaplan 287: 282: 276: 274: 270: 269: 264: 258: 257: 248: 242: 241: 239: 238: 233: 228: 223: 218: 212: 210: 206: 205: 200: 196: 195: 189: 188: 186: 185: 179: 173: 166: 164: 160: 159: 154: 150: 149: 147: 146: 141: 139:Matroid theory 136: 131: 126: 121: 116: 110: 108: 107:Known for 104: 103: 80: 76: 75: 69: 67:(aged 82) 61: 57: 56: 53: 51:March 23, 1907 42: 38: 37: 34: 26: 25: 22: 15: 9: 6: 4: 3: 2: 6698: 6687: 6684: 6682: 6679: 6677: 6674: 6672: 6669: 6667: 6664: 6662: 6659: 6657: 6654: 6652: 6649: 6647: 6644: 6642: 6639: 6637: 6634: 6632: 6629: 6627: 6624: 6622: 6619: 6617: 6614: 6612: 6609: 6607: 6604: 6603: 6601: 6578: 6575: 6572: 6570: 6567: 6565: 6562: 6559: 6557: 6554: 6552: 6549: 6547: 6544: 6541: 6540: 6538: 6534: 6528: 6525: 6523: 6520: 6518: 6515: 6512: 6510: 6509:James E. Gunn 6507: 6505: 6502: 6499: 6497: 6494: 6492: 6489: 6486: 6484: 6481: 6478: 6476: 6473: 6471: 6468: 6465: 6463: 6460: 6457: 6455: 6452: 6450: 6447: 6444: 6442: 6441:Edward Witten 6439: 6437: 6434: 6432: 6429: 6426: 6424: 6421: 6419: 6416: 6414: 6411: 6408: 6406: 6403: 6401: 6398: 6396: 6393: 6390: 6389: 6387: 6383: 6377: 6374: 6372: 6369: 6366: 6364: 6361: 6359: 6356: 6353: 6351: 6348: 6346: 6343: 6341: 6338: 6335: 6333: 6330: 6327: 6325: 6322: 6320: 6317: 6314: 6312: 6309: 6307: 6304: 6301: 6299: 6296: 6294: 6291: 6288: 6286: 6283: 6280: 6278: 6275: 6273: 6270: 6268: 6265: 6262: 6260: 6259:Roger Revelle 6257: 6255: 6252: 6250: 6247: 6245: 6242: 6239: 6238: 6236: 6232: 6226: 6225:Henry Stommel 6223: 6221: 6218: 6216: 6215:Eugene Parker 6213: 6211: 6208: 6205: 6203: 6200: 6198: 6195: 6193: 6190: 6188: 6185: 6183: 6180: 6177: 6175: 6172: 6170: 6167: 6165: 6162: 6160: 6157: 6155: 6152: 6149: 6147: 6144: 6142: 6139: 6137: 6134: 6132: 6129: 6127: 6124: 6121: 6119: 6116: 6114: 6111: 6109: 6106: 6104: 6101: 6099: 6096: 6094: 6091: 6089: 6086: 6083: 6081: 6078: 6076: 6075:Edward Teller 6073: 6071: 6068: 6066: 6063: 6060: 6059: 6057: 6053: 6047: 6044: 6042: 6041:Lyman Spitzer 6039: 6037: 6034: 6032: 6029: 6027: 6024: 6022: 6019: 6016: 6014: 6011: 6009: 6006: 6004: 6001: 5999: 5996: 5994: 5991: 5989: 5986: 5983: 5981: 5978: 5976: 5973: 5971: 5968: 5966: 5963: 5961: 5960:Hans A. Bethe 5958: 5955: 5953: 5950: 5948: 5945: 5943: 5940: 5938: 5935: 5933: 5930: 5927: 5925: 5922: 5920: 5917: 5915: 5912: 5910: 5907: 5905: 5904:Maurice Ewing 5902: 5900: 5899:Carl Djerassi 5897: 5894: 5892: 5891:Saul Winstein 5889: 5887: 5884: 5882: 5879: 5877: 5874: 5872: 5869: 5866: 5865: 5863: 5859: 5853: 5850: 5848: 5845: 5842: 5840: 5839:Eugene Wigner 5837: 5835: 5832: 5830: 5827: 5825: 5824:Paul Bartlett 5822: 5819: 5817: 5814: 5812: 5811:Louis Hammett 5809: 5807: 5806:Gregory Breit 5804: 5802: 5801:Francis Birch 5799: 5797: 5794: 5791: 5789: 5786: 5784: 5781: 5779: 5776: 5774: 5771: 5769: 5766: 5763: 5761: 5760:William Rubey 5758: 5756: 5753: 5751: 5748: 5746: 5743: 5740: 5738: 5735: 5733: 5730: 5728: 5725: 5722: 5720: 5717: 5714: 5713: 5711: 5707: 5703: 5696: 5692: 5678: 5677:Michael Artin 5675: 5672: 5670: 5667: 5665: 5662: 5659: 5657: 5654: 5652: 5649: 5646: 5644: 5641: 5639: 5636: 5633: 5632: 5630: 5626: 5620: 5617: 5614: 5612: 5609: 5607: 5604: 5601: 5599: 5596: 5593: 5591: 5590:Bradley Efron 5588: 5585: 5583: 5580: 5577: 5575: 5572: 5569: 5567: 5564: 5561: 5559: 5556: 5554: 5551: 5548: 5546: 5543: 5541: 5538: 5535: 5534: 5532: 5528: 5522: 5519: 5517: 5516:Felix Browder 5514: 5511: 5509: 5506: 5503: 5501: 5498: 5495: 5493: 5492:Stephen Smale 5490: 5488: 5485: 5482: 5480: 5477: 5474: 5472: 5469: 5466: 5464: 5461: 5458: 5456: 5453: 5450: 5448: 5445: 5442: 5440: 5439:John McCarthy 5437: 5435: 5432: 5430: 5427: 5424: 5423: 5421: 5417: 5411: 5408: 5406: 5403: 5401: 5400:Samuel Karlin 5398: 5395: 5393: 5390: 5388: 5385: 5382: 5380: 5377: 5375: 5372: 5369: 5367: 5364: 5362: 5359: 5356: 5354: 5351: 5349: 5346: 5343: 5341: 5338: 5335: 5334: 5332: 5328: 5322: 5319: 5317: 5314: 5311: 5309: 5306: 5304: 5301: 5298: 5296: 5293: 5291: 5288: 5286: 5283: 5280: 5278: 5275: 5272: 5270: 5267: 5264: 5262: 5259: 5256: 5255: 5253: 5249: 5243: 5240: 5237: 5235: 5232: 5229: 5227: 5224: 5221: 5219: 5216: 5213: 5211: 5210:Oscar Zariski 5208: 5205: 5203: 5200: 5198: 5195: 5192: 5190: 5187: 5184: 5183: 5181: 5177: 5173: 5166: 5162: 5148: 5145: 5142: 5140: 5137: 5134: 5132: 5129: 5126: 5125: 5123: 5119: 5113: 5110: 5107: 5105: 5102: 5099: 5097: 5094: 5091: 5089: 5086: 5083: 5081: 5078: 5075: 5073: 5070: 5067: 5065: 5062: 5059: 5057: 5054: 5051: 5049: 5046: 5043: 5041: 5038: 5035: 5034: 5032: 5028: 5022: 5019: 5016: 5014: 5011: 5008: 5006: 5003: 5001: 4998: 4995: 4993: 4990: 4987: 4985: 4984:Ray W. Clough 4982: 4979: 4977: 4976:Alfred Y. Cho 4974: 4971: 4969: 4966: 4964: 4961: 4958: 4956: 4953: 4951: 4948: 4946: 4943: 4940: 4938: 4935: 4933: 4930: 4927: 4926: 4924: 4920: 4914: 4911: 4909: 4906: 4903: 4901: 4898: 4896: 4893: 4891: 4888: 4885: 4883: 4880: 4878: 4875: 4873: 4870: 4867: 4865: 4862: 4860: 4857: 4855: 4852: 4849: 4847: 4846:John G. Trump 4844: 4842: 4839: 4837: 4834: 4831: 4829: 4826: 4824: 4821: 4818: 4817: 4815: 4811: 4805: 4802: 4800: 4797: 4795: 4792: 4790: 4787: 4785: 4782: 4779: 4777: 4774: 4772: 4769: 4767: 4764: 4761: 4759: 4756: 4754: 4751: 4749: 4746: 4744: 4741: 4738: 4736: 4733: 4731: 4728: 4726: 4723: 4720: 4718: 4715: 4713: 4710: 4707: 4705: 4702: 4699: 4698: 4696: 4692: 4686: 4683: 4680: 4678: 4675: 4673: 4670: 4667: 4665: 4662: 4660: 4659:Edwin H. Land 4657: 4654: 4652: 4649: 4646: 4644: 4641: 4639: 4636: 4634: 4631: 4628: 4626: 4623: 4621: 4618: 4615: 4613: 4610: 4608: 4607:Vannevar Bush 4605: 4602: 4600: 4597: 4594: 4593: 4591: 4587: 4583: 4576: 4572: 4558: 4555: 4552: 4550: 4547: 4544: 4542: 4539: 4537: 4534: 4531: 4529: 4526: 4524: 4523:Allen J. Bard 4521: 4518: 4516: 4513: 4511: 4508: 4505: 4504: 4502: 4498: 4492: 4489: 4487: 4484: 4481: 4479: 4478:JoAnne Stubbe 4476: 4474: 4473:Joanna Fowler 4471: 4468: 4466: 4463: 4460: 4458: 4455: 4453: 4450: 4447: 4445: 4442: 4439: 4437: 4434: 4431: 4429: 4426: 4423: 4421: 4418: 4416: 4413: 4410: 4408: 4405: 4403: 4400: 4397: 4396: 4394: 4390: 4384: 4383:Susan Solomon 4381: 4379: 4376: 4374: 4371: 4368: 4366: 4363: 4361: 4358: 4355: 4353: 4350: 4348: 4345: 4342: 4340: 4337: 4334: 4332: 4329: 4327: 4324: 4321: 4319: 4316: 4313: 4311: 4308: 4306: 4303: 4300: 4298: 4295: 4292: 4290: 4287: 4285: 4282: 4280: 4277: 4275: 4272: 4269: 4267: 4264: 4262: 4259: 4257: 4254: 4251: 4250: 4248: 4244: 4238: 4235: 4233: 4230: 4228: 4227:Melvin Calvin 4225: 4223: 4220: 4217: 4215: 4212: 4210: 4207: 4205: 4202: 4199: 4197: 4194: 4192: 4189: 4187: 4184: 4181: 4179: 4176: 4174: 4171: 4169: 4168:Yuan Tseh Lee 4166: 4164: 4163:Harry B. Gray 4161: 4158: 4156: 4153: 4151: 4148: 4146: 4143: 4140: 4138: 4137:Gilbert Stork 4135: 4133: 4130: 4127: 4126: 4124: 4120: 4114: 4111: 4108: 4107: 4105: 4101: 4097: 4090: 4086: 4072: 4069: 4067: 4064: 4062: 4059: 4056: 4054: 4051: 4048: 4046: 4045:Bruce Alberts 4043: 4041: 4040:May Berenbaum 4038: 4035: 4033: 4030: 4028: 4025: 4023: 4020: 4017: 4015: 4012: 4010: 4007: 4004: 4003: 4001: 3997: 3991: 3988: 3986: 3983: 3980: 3978: 3975: 3973: 3970: 3968: 3965: 3962: 3960: 3957: 3955: 3952: 3949: 3947: 3946:Lubert Stryer 3944: 3942: 3941:Nina Fedoroff 3939: 3937: 3934: 3931: 3929: 3926: 3924: 3923:Anthony Fauci 3921: 3918: 3916: 3913: 3911: 3908: 3906: 3903: 3900: 3898: 3895: 3893: 3890: 3888: 3885: 3882: 3880: 3877: 3875: 3872: 3869: 3867: 3866:Harold Varmus 3864: 3862: 3859: 3857: 3854: 3852: 3849: 3847: 3844: 3842: 3839: 3837: 3834: 3831: 3829: 3826: 3824: 3821: 3819: 3816: 3813: 3812: 3810: 3806: 3800: 3799:Lynn Margulis 3797: 3795: 3794:Jared Diamond 3792: 3790: 3787: 3784: 3782: 3779: 3777: 3774: 3771: 3769: 3766: 3764: 3761: 3758: 3756: 3753: 3750: 3748: 3745: 3742: 3740: 3737: 3735: 3734:Thomas Eisner 3732: 3729: 3727: 3724: 3722: 3719: 3716: 3714: 3711: 3709: 3708:Maxine Singer 3706: 3703: 3701: 3698: 3696: 3693: 3691: 3690:Paul A. Marks 3688: 3686: 3683: 3681: 3678: 3676: 3673: 3671: 3668: 3666: 3663: 3660: 3658: 3655: 3653: 3650: 3648: 3645: 3643: 3640: 3638: 3635: 3633: 3630: 3627: 3626: 3624: 3620: 3614: 3611: 3609: 3606: 3604: 3601: 3599: 3596: 3594: 3591: 3589: 3586: 3583: 3581: 3578: 3576: 3573: 3571: 3568: 3566: 3563: 3561: 3558: 3556: 3553: 3550: 3548: 3545: 3543: 3540: 3538: 3535: 3533: 3530: 3528: 3525: 3522: 3520: 3517: 3515: 3512: 3510: 3507: 3505: 3502: 3500: 3499:Stanley Cohen 3497: 3494: 3492: 3489: 3487: 3484: 3482: 3479: 3477: 3474: 3471: 3469: 3466: 3464: 3461: 3459: 3456: 3453: 3451: 3448: 3445: 3444: 3442: 3438: 3432: 3429: 3427: 3424: 3422: 3419: 3417: 3414: 3412: 3409: 3407: 3404: 3402: 3399: 3396: 3394: 3391: 3389: 3388:Efraim Racker 3386: 3384: 3381: 3379: 3376: 3373: 3371: 3368: 3366: 3363: 3361: 3358: 3356: 3353: 3350: 3348: 3345: 3343: 3342:James V. Neel 3340: 3338: 3335: 3333: 3330: 3327: 3325: 3322: 3320: 3317: 3314: 3312: 3309: 3307: 3304: 3301: 3300: 3298: 3294: 3288: 3285: 3283: 3280: 3277: 3275: 3272: 3270: 3267: 3265: 3262: 3260: 3257: 3255: 3254:Horace Barker 3252: 3249: 3247: 3244: 3242: 3239: 3237: 3234: 3232: 3229: 3226: 3224: 3223:Sewall Wright 3221: 3219: 3216: 3214: 3211: 3209: 3206: 3203: 3201: 3198: 3196: 3193: 3191: 3188: 3185: 3183: 3180: 3178: 3175: 3172: 3170: 3167: 3164: 3163: 3161: 3157: 3153: 3146: 3142: 3128: 3125: 3122: 3120: 3117: 3114: 3112: 3111:Anne Treisman 3109: 3106: 3105: 3103: 3099: 3093: 3090: 3087: 3085: 3082: 3079: 3077: 3074: 3071: 3069: 3068:Kenneth Arrow 3066: 3063: 3061: 3058: 3055: 3053: 3050: 3047: 3046: 3044: 3040: 3034: 3031: 3028: 3026: 3023: 3020: 3018: 3015: 3012: 3010: 3007: 3004: 3002: 2999: 2996: 2994: 2991: 2988: 2986: 2983: 2980: 2978: 2975: 2972: 2970: 2967: 2965: 2962: 2959: 2958: 2956: 2952: 2946: 2943: 2940: 2938: 2935: 2933: 2932:Anne Anastasi 2930: 2927: 2925: 2922: 2919: 2918: 2916: 2912: 2906: 2903: 2900: 2899: 2897: 2893: 2889: 2882: 2878: 2874: 2871: 2864: 2859: 2857: 2852: 2850: 2845: 2844: 2841: 2831: 2830: 2825: 2817: 2810: 2806: 2803: 2800: 2797: 2794: 2791: 2788: 2784: 2781: 2780: 2778: 2774: 2767: 2763: 2760: 2757: 2753: 2750: 2747: 2743: 2740: 2737: 2734: 2731: 2728: 2725: 2724:Michael Artin 2721: 2720:George Mostow 2718: 2715: 2711: 2708: 2705: 2701: 2698: 2697: 2695: 2691: 2684: 2680: 2676: 2673: 2670: 2666: 2665:Stephen Smale 2663: 2660: 2656: 2653: 2650: 2646: 2643: 2640: 2636: 2633: 2630: 2626: 2623: 2622: 2620: 2616: 2609: 2605: 2604:László Lovász 2602: 2599: 2595: 2594:Joseph Keller 2592: 2589: 2585: 2582: 2579: 2576: 2573: 2569: 2566: 2563: 2559: 2556: 2553: 2549: 2546: 2545: 2543: 2539: 2532: 2528: 2525: 2522: 2518: 2515: 2512: 2508: 2505: 2502: 2498: 2495: 2492: 2488: 2485: 2482: 2478: 2475: 2472: 2468: 2465: 2462: 2461:Oscar Zariski 2458: 2455: 2452: 2448: 2445: 2444: 2442: 2438: 2431: 2427: 2424: 2421: 2417: 2414: 2413: 2411: 2407: 2403: 2395: 2390: 2388: 2383: 2381: 2376: 2375: 2372: 2365: 2362: 2360: 2357: 2355: 2352: 2350: 2347: 2344: 2340: 2339: 2334: 2330: 2325: 2324: 2313: 2309: 2305: 2301: 2297: 2293: 2289: 2285: 2281: 2277: 2276: 2270: 2266: 2262: 2258: 2254: 2250: 2248:0-19-853563-5 2244: 2240: 2236: 2232: 2227: 2224: 2220: 2216: 2211: 2207: 2203: 2199: 2195: 2191: 2187: 2181: 2177: 2173: 2169: 2165: 2164:Cambridge, MA 2161: 2157: 2152: 2147: 2142: 2138: 2134: 2133: 2128: 2124: 2120: 2110:on 2011-02-23 2109: 2105: 2101: 2100: 2095: 2091: 2087: 2083: 2079: 2075: 2071: 2067: 2063: 2061:0-7923-0234-6 2057: 2052: 2047: 2043: 2039: 2035: 2031: 2027: 2026: 2020: 2019: 2009: 1996: 1985: 1980: 1977: 1972: 1968: 1964: 1960: 1956: 1953:(in French), 1952: 1951: 1946: 1942: 1938: 1927: 1923: 1922: 1917: 1912: 1901: 1900: 1895: 1890: 1879: 1872: 1871: 1865: 1861: 1857: 1853: 1849: 1848: 1843: 1839: 1838: 1821: 1817: 1811: 1796: 1795: 1790: 1783: 1776: 1772: 1768: 1764: 1760: 1756: 1752: 1748: 1744: 1740: 1736: 1731: 1726: 1722: 1718: 1717: 1712: 1706: 1699: 1693: 1684: 1682: 1679: 1677: 1674: 1673: 1663: 1660:According to 1657: 1638: 1633:According to 1630: 1623: 1618: 1611: 1610:Fisher (2012) 1605: 1598: 1594: 1590: 1585: 1578: 1572: 1565: 1559: 1553:, p. 9). 1552: 1546: 1539: 1533: 1519: 1512: 1505: 1501: 1495: 1488: 1485:According to 1482: 1475: 1470: 1463: 1462:Fowler (1989) 1458: 1451: 1447: 1443: 1440:According to 1437: 1430: 1425: 1423: 1421: 1419: 1411: 1407: 1402: 1398: 1389: 1386: 1384: 1381: 1379: 1376: 1374: 1371: 1369: 1366: 1364: 1361: 1359: 1356: 1354: 1351: 1349: 1346: 1344: 1341: 1340: 1330: 1326: 1322: 1320:0-8176-3559-9 1316: 1312: 1308: 1304: 1299: 1295: 1291: 1287: 1285:0-8176-3558-0 1281: 1277: 1273: 1269: 1264: 1260: 1256: 1252: 1248: 1244: 1242:0-201-08653-0 1238: 1234: 1230: 1226: 1222: 1218: 1214: 1213: 1207: 1203: 1199: 1195: 1191: 1187: 1183: 1179: 1175: 1171: 1167: 1166: 1161: 1156: 1152: 1148: 1144: 1140: 1136: 1132: 1128: 1124: 1120: 1116: 1115: 1110: 1105: 1101: 1097: 1093: 1089: 1085: 1081: 1077: 1072: 1068: 1064: 1060: 1056: 1052: 1048: 1044: 1040: 1036: 1032: 1028: 1024: 1023: 1017: 1013: 1009: 1005: 1001: 997: 993: 989: 985: 981: 977: 973: 969: 965: 961: 960: 952: 947: 946: 945: 943: 939: 935: 925: 922: 920: 908: 906: 902: 897: 895: 891: 887: 882: 879: 875: 871: 865: 863: 859: 855: 851: 846: 844: 840: 836: 832: 831:Oswald Veblen 828: 827:Whitney trick 824: 806: 803: 788: 770: 767: 764: 761: 746: 742: 738: 734: 728: 723: 721: 703: 674: 657: 647: 624: 620: 616: 612: 611:combinatorics 608: 604: 600: 585: 583: 579: 575: 571: 567: 563: 559: 555: 545: 543: 539: 535: 531: 527: 523: 519: 514: 512: 508: 504: 500: 496: 492: 488: 484: 480: 476: 466: 464: 460: 457: 447: 445: 435: 431: 428: 423: 421: 415: 413: 412:Mount Whitney 409: 405: 401: 397: 396:Simon Newcomb 393: 392:Roger Sherman 389: 385: 381: 377: 373: 369: 365: 361: 346: 344: 340: 336: 332: 328: 324: 320: 319:mathematician 316: 307: 301: 298: 296: 293: 291: 288: 286: 283: 281: 278: 277: 275: 271: 268: 265: 263: 259: 252: 249: 247: 243: 237: 234: 232: 229: 227: 224: 222: 219: 217: 214: 213: 211: 207: 204: 201: 197: 194: 190: 183: 180: 177: 174: 171: 168: 167: 165: 161: 158: 157:Dwight family 155: 151: 145: 142: 140: 137: 135: 132: 130: 127: 125: 122: 120: 117: 115: 112: 111: 109: 105: 101: 97: 92: 88: 84: 81: 77: 72: 62: 58: 43: 39: 32: 27: 20: 6551:Sandra Faber 6546:Sidney Drell 6376:Leo Kadanoff 6371:James Cronin 6319:Hans Dehmelt 6254:Robert Pound 6220:Robert Sharp 6036:John Sinfelt 6003:Verner Suomi 5970:Lewis Sarett 5834:Lars Onsager 5778:Henry Eyring 5745:John Bardeen 5487:Richard Karp 5455:Allen Newell 5307: 5234:Jerzy Neyman 4859:Tung-Yen Lin 4836:Bill Hewlett 4766:Morris Cohen 4360:John W. Cahn 4261:Karl Folkers 4022:Lucy Shapiro 3972:Elaine Fuchs 3851:Ann Graybiel 3781:Janet Rowley 3763:James Watson 3755:Ruth Patrick 3598:Philip Leder 3468:Mildred Cohn 3416:Severo Ochoa 3393:E. O. Wilson 2820: 2730:Peter Sarnak 2588:Andrew Wiles 2578:Jürgen Moser 2572:Jacques Tits 2501:Atle Selberg 2466: 2457:Lars Ahlfors 2447:Henri Cartan 2336: 2279: 2273: 2230: 2159: 2139:(1): 38–41, 2136: 2130: 2112:, retrieved 2108:the original 2098: 2024: 1995:cite journal 1954: 1948: 1932:November 27, 1930:, retrieved 1925: 1919: 1903:, retrieved 1897: 1881:, retrieved 1869: 1851: 1845: 1810: 1798:. Retrieved 1792: 1782: 1774: 1730:math/9310231 1720: 1714: 1705: 1692: 1656: 1643:. Retrieved 1629: 1617: 1604: 1596: 1584: 1571: 1558: 1545: 1538:Kendig (2013 1532: 1521:. Retrieved 1511: 1504:Kendig (2013 1494: 1487:Kendig (2013 1481: 1474:Kendig (2013 1469: 1457: 1449: 1436: 1401: 1306: 1303:Eells, James 1271: 1268:Eells, James 1211: 1169: 1163: 1118: 1112: 1075: 1026: 1020: 963: 957: 931: 917: 914: 898: 885: 884:In his book 883: 866: 861: 847: 822: 740: 736: 730: 724: 658: 599:graph theory 596: 582:Steele Prize 561: 551: 515: 486: 472: 453: 440: 424: 416: 357: 314: 313: 250: 209:Institutions 192: 124:Graph theory 65:(1989-05-10) 63:May 10, 1989 6611:1989 deaths 6606:1907 births 6504:Berni Alder 6311:Frank Press 6192:Walter Kohn 6169:George Pake 6103:Walter Munk 6026:Herman Mark 6008:Henry Taube 5796:Jesse Beams 5750:Peter Debye 5732:Harold Urey 5656:Barry Mazur 5218:John Milnor 5112:Amnon Yariv 5056:Leo Beranek 4882:Ernst Weber 4735:Abel Wolman 4326:Thomas Cech 4256:Elkan Blout 4196:Max Tishler 4113:Roger Adams 4071:Simon Levin 3537:Harry Eagle 3360:Paul Gyorgy 3052:Gary Becker 2531:John Milnor 2194:j.ctt6wpqft 1800:12 November 1662:Oxley (1992 1564:Kendig 2013 1551:Kendig 2013 1500:Chern (1994 1442:Chern (1994 1429:Chern (1994 1410:Chern (1994 878:John Mather 841:on a given 285:James Eells 203:Mathematics 6600:Categories 6298:Vera Rubin 5937:Paul Flory 5598:Hyman Bass 5471:John Cocke 5374:Raoul Bott 5277:Kurt Gödel 5269:John Tukey 5226:Paul Cohen 4841:George Low 4804:Simon Ramo 4027:Leroy Hood 3828:Carl Woese 3776:Bruce Ames 3287:Ernst Mayr 2809:Adi Shamir 2645:Mikio Sato 2625:Raoul Bott 2507:Kiyosi Itô 2481:Paul Erdős 2471:Mark Krein 2430:André Weil 2426:Jean Leray 2312:0645.01012 2282:(2): 5–8, 2265:0784.05002 2210:1290.01005 2114:2016-04-30 2078:0683.32002 1971:0722.01025 1941:Thom, René 1829:References 1771:0863.58008 1645:5 February 1637:"Matroids" 1577:Chern 1994 1523:2013-04-16 1446:Thom (1990 1406:Thom (1990 1329:0746.01016 1294:0746.01016 1259:0265.32008 1221:Menlo Park 1202:0186.57901 1151:0186.57901 1100:0083.28204 1067:0006.37005 1043:59.1235.01 1012:0003.32804 988:58.0609.01 646:isomorphic 335:immersions 331:embeddings 176:Wolf Prize 134:Cohomology 47:1907-03-23 6293:Val Fitch 5361:Peter Lax 5131:Shu Chien 4378:John Ross 4093:Chemistry 3481:Paul Berg 2873:laureates 2805:Noga Alon 2671:(2006/07) 2651:(2002/03) 2649:John Tate 2600:(1996/97) 2590:(1995/96) 2580:(1994/95) 2511:Peter Lax 2493:(1984/85) 2491:Hans Lewy 2483:(1983/84) 2304:189885412 2030:Dordrecht 1989:: 97–117. 1905:9 January 1685:Twisting. 1229:Don Mills 874:René Thom 729:of class 349:Biography 327:manifolds 295:Paul Olum 153:Relatives 6272:Ed Stone 3269:Jay Lush 2125:(1958), 1943:(1990), 1763:17436511 1337:See also 911:Teaching 787:immersed 745:embedded 607:matroids 593:Research 456:mountain 384:Sanskrit 2364:INFORMS 2296:0932157 2257:1207587 2202:3100544 2070:1111477 1976:Gallica 1963:1105198 1883:14 July 1755:1215309 1735:Bibcode 1251:0387634 1217:Reading 1194:0228220 1186:2314953 1143:0228219 1135:2315883 1092:0087148 1059:1506961 1051:2371127 1004:1506881 996:2371086 743:may be 400:Steeves 2811:(2024) 2801:(2023) 2795:(2022) 2789:(2020) 2768:(2019) 2758:(2018) 2748:(2017) 2738:(2015) 2732:(2014) 2726:(2013) 2716:(2012) 2706:(2010) 2685:(2008) 2661:(2005) 2641:(2001) 2631:(2000) 2610:(1999) 2574:(1993) 2564:(1992) 2554:(1990) 2533:(1989) 2523:(1988) 2513:(1987) 2503:(1986) 2473:(1982) 2463:(1981) 2453:(1980) 2432:(1979) 2422:(1978) 2310:  2302:  2294:  2263:  2255:  2245:  2221:  2215:e-book 2208:  2200:  2192:  2182:  2076:  2068:  2058:  2038:London 2034:Boston 1969:  1961:  1860:986754 1858:  1769:  1761:  1753:  1327:  1317:  1292:  1282:  1257:  1249:  1239:  1225:London 1200:  1192:  1184:  1149:  1141:  1133:  1098:  1090:  1065:  1057:  1049:  1041:  1010:  1002:  994:  986:  852:, and 785:, and 548:Honors 341:, and 255:(1932) 253:  246:Thesis 199:Fields 184:(1985) 178:(1982) 172:(1976) 163:Awards 73:, U.S. 6536:2010s 6385:2000s 6234:1990s 6055:1980s 5861:1970s 5709:1960s 5628:2010s 5530:2000s 5419:1990s 5330:1980s 5251:1970s 5179:1960s 5121:2010s 5030:2000s 4922:1990s 4813:1980s 4694:1970s 4589:1960s 4500:2010s 4392:2000s 4246:1990s 4122:1980s 4103:1960s 3999:2010s 3808:2000s 3622:1990s 3440:1980s 3296:1970s 3159:1960s 3101:2010s 3042:2000s 2954:1990s 2914:1980s 2895:1960s 2776:2020s 2693:2010s 2618:2000s 2541:1990s 2440:1980s 2409:1970s 2300:S2CID 2190:JSTOR 1987:(PDF) 1874:(PDF) 1856:JSTOR 1759:S2CID 1725:arXiv 1640:(PDF) 1575:See ( 1562:See ( 1549:See ( 1394:Notes 1182:JSTOR 1131:JSTOR 1047:JSTOR 992:JSTOR 954:(PDF) 570:1968b 566:1968a 450:Death 6573:2014 6560:2012 6542:2011 6513:2009 6500:2008 6487:2007 6479:2006 6466:2005 6458:2004 6445:2003 6427:2002 6409:2001 6391:2000 6367:1999 6354:1998 6336:1997 6328:1996 6315:1995 6302:1994 6289:1993 6281:1992 6263:1991 6240:1990 6206:1989 6178:1988 6150:1987 6122:1986 6084:1983 6061:1982 6017:1979 5984:1976 5956:1975 5928:1974 5895:1973 5867:1970 5843:1969 5820:1968 5792:1967 5764:1966 5741:1965 5723:1964 5715:1963 5673:2013 5660:2012 5647:2011 5634:2010 5615:2009 5602:2007 5594:2006 5586:2005 5578:2004 5570:2003 5562:2002 5549:2001 5536:2000 5512:1999 5504:1998 5496:1997 5483:1996 5475:1995 5467:1994 5459:1993 5451:1992 5443:1991 5425:1990 5396:1989 5383:1988 5370:1987 5357:1986 5344:1983 5336:1982 5312:1979 5299:1976 5281:1975 5273:1974 5265:1973 5257:1970 5238:1969 5230:1968 5222:1967 5214:1966 5206:1965 5193:1964 5185:1963 5143:2012 5135:2011 5127:2010 5108:2009 5100:2008 5092:2007 5084:2006 5076:2005 5068:2004 5060:2003 5052:2002 5044:2001 5036:2000 5017:1999 5009:1998 4996:1996 4988:1995 4980:1994 4972:1993 4959:1992 4941:1991 4928:1990 4904:1989 4886:1988 4868:1987 4850:1986 4832:1983 4819:1982 4780:1979 4762:1976 4739:1975 4721:1974 4708:1973 4700:1970 4681:1969 4668:1968 4655:1967 4647:1966 4629:1965 4616:1964 4603:1963 4595:1962 4553:2014 4545:2013 4532:2012 4519:2011 4506:2010 4482:2009 4469:2008 4461:2007 4448:2006 4440:2005 4432:2004 4424:2002 4411:2001 4398:2000 4369:1999 4356:1998 4343:1997 4335:1996 4322:1995 4314:1994 4301:1993 4293:1992 4270:1991 4252:1990 4218:1989 4200:1988 4182:1987 4159:1986 4141:1983 4128:1982 4109:1964 4057:2014 4049:2013 4036:2012 4018:2011 4005:2010 3981:2009 3963:2008 3950:2007 3932:2006 3919:2005 3901:2004 3883:2003 3870:2002 3832:2001 3814:2000 3785:1999 3772:1998 3759:1997 3751:1996 3743:1995 3730:1994 3717:1993 3704:1992 3661:1991 3628:1990 3584:1989 3551:1988 3523:1987 3495:1986 3472:1983 3454:1982 3446:1981 3397:1979 3374:1976 3351:1975 3328:1974 3315:1973 3302:1970 3278:1969 3250:1968 3227:1967 3204:1966 3186:1965 3173:1964 3165:1963 3123:2015 3115:2014 3107:2011 3088:2009 3080:2008 3072:2005 3064:2004 3056:2003 3048:2000 3029:1999 3021:1998 3013:1997 3005:1996 2997:1995 2989:1994 2981:1992 2973:1991 2960:1990 2941:1988 2928:1987 2920:1986 2901:1964 2243:ISBN 2219:ISBN 2180:ISBN 2056:ISBN 2008:help 1934:2014 1926:2013 1907:2012 1885:2013 1802:2021 1696:See 1668:and 1647:2013 1536:See 1315:ISBN 1280:ISBN 1237:ISBN 1082:and 876:and 833:and 652:and 644:are 642:M(H) 640:and 638:M(G) 632:and 626:M(G) 613:and 588:Work 354:Life 60:Died 41:Born 2308:Zbl 2284:doi 2261:Zbl 2206:Zbl 2172:doi 2141:doi 2074:Zbl 2046:doi 1967:Zbl 1928:(1) 1852:138 1767:Zbl 1743:doi 1325:Zbl 1290:Zbl 1255:Zbl 1198:Zbl 1174:doi 1147:Zbl 1123:doi 1096:Zbl 1063:Zbl 1039:JFM 1031:doi 1008:Zbl 984:JFM 976:hdl 968:doi 789:in 747:in 564:" ( 479:PhD 100:PhD 6602:: 2807:/ 2785:/ 2764:/ 2754:/ 2744:/ 2722:/ 2712:/ 2702:/ 2681:/ 2677:/ 2667:/ 2657:/ 2647:/ 2637:/ 2627:/ 2606:/ 2596:/ 2586:/ 2570:/ 2560:/ 2550:/ 2529:/ 2519:/ 2509:/ 2499:/ 2489:/ 2479:/ 2469:/ 2459:/ 2449:/ 2428:/ 2418:/ 2341:, 2335:, 2331:, 2306:, 2298:, 2292:MR 2290:, 2280:10 2278:, 2259:, 2253:MR 2251:, 2237:, 2225:). 2217:: 2204:, 2198:MR 2196:, 2188:, 2178:, 2166:: 2162:, 2137:64 2135:, 2129:, 2092:; 2072:, 2066:MR 2064:, 2054:, 2044:, 2040:: 1999:: 1997:}} 1993:{{ 1965:, 1959:MR 1947:, 1924:, 1918:, 1896:, 1876:, 1850:, 1791:. 1773:, 1765:, 1757:, 1751:MR 1749:, 1741:, 1733:, 1721:29 1700:). 1670:G' 1599:". 1452:". 1417:^ 1323:, 1288:, 1253:, 1247:MR 1245:, 1235:, 1231:: 1196:, 1190:MR 1188:, 1180:, 1170:75 1168:, 1162:, 1145:, 1139:MR 1137:, 1129:, 1119:75 1117:, 1111:, 1094:, 1088:MR 1061:, 1055:MR 1053:, 1045:, 1037:, 1027:55 1025:, 1006:, 1000:MR 998:, 990:, 982:, 974:, 964:54 962:, 956:, 896:. 864:. 845:. 722:. 568:, 544:. 497:, 414:. 345:. 337:, 333:, 329:, 91:BM 89:, 87:BA 2862:e 2855:t 2848:v 2393:e 2386:t 2379:v 2315:. 2286:: 2268:. 2213:( 2174:: 2150:. 2143:: 2118:. 2081:. 2048:: 2036:- 2032:- 2010:) 2006:( 1978:. 1955:7 1910:. 1888:. 1863:. 1804:. 1745:: 1737:: 1727:: 1666:G 1651:. 1649:. 1624:. 1612:. 1526:. 1464:. 1332:. 1297:. 1262:. 1227:- 1223:- 1219:- 1205:. 1176:: 1154:. 1125:: 1103:. 1070:. 1033:: 1015:. 978:: 970:: 921:, 823:n 807:n 804:2 799:R 771:1 768:+ 765:n 762:2 757:R 741:n 737:r 732:C 704:n 699:R 675:n 670:R 654:H 650:G 634:H 630:G 102:) 98:( 93:) 85:( 49:) 45:(

Index


Princeton, New Jersey
Yale University
BA
BM
Harvard University
PhD
Algebraic topology
Differential topology
Graph theory
Geometric measure theory
Cohomology
Matroid theory
Singularity theory
Dwight family
National Medal of Science
Wolf Prize
Leroy P. Steele Prize
Mathematics
Harvard University
Institute for Advanced Study
Princeton University
National Science Foundation
National Defense Research Committee
Thesis
Doctoral advisor
George David Birkhoff
R. Eliot Chamberlin
James Eells
Wilfred Kaplan

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.