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Herbert Wilf

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299:, 3 (1990) 147–158). The prize citation reads: "New mathematical ideas can have an impact on experts in a field, on people outside the field, and on how the field develops after the idea has been introduced. The remarkably simple idea of the work of Wilf and Zeilberger has already changed a part of mathematics for the experts, for the high-level users outside the area, and the area itself." Their work has been translated into computer packages that have simplified 31: 866: 886: 876: 311: 851: 846: 295: 224: 861: 249:
Wilf was the author of numerous papers and books, and was adviser and mentor to many students and colleagues. His collaborators include
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for Seminal Contribution to Research for their joint paper, "Rational functions certify combinatorial identities" (
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Wilf, Herbert S.; Zeilberger, Doron (1990). "Rational functions certify combinatorial identities".
300: 117: 105: 63: 716: 801: 290: 278: 262: 174: 127: 871: 841: 493: 407: 386: 351: 266: 109: 574: 8: 797: 619: 75: 411: 200: 653: 523: 470: 451: 430: 395: 342: 325: 765: 657: 435: 760: 739: 700: 581: 377: 360: 755: 695: 649: 555: 519: 465: 425: 415: 372: 337: 271: 258: 250: 196: 188: 169: 93: 567: 529: 490: 447: 382: 347: 215:(June 13, 1931 – January 7, 2012) was an American mathematician, specializing in 536: 835: 769: 675: 661: 216: 192: 89: 817: 513: 498:
1998: (with N. J. Calkin) "The Number of Independent Sets in a Grid Graph",
97: 479: 439: 254: 220: 420: 307: 232: 134: 596: 184: 396:"The Possibility of Tschebycheff Quadrature on Infinite Intervals" 826: 633: 30: 231:. He wrote numerous books and research papers. Together with 326:"Perron-Frobenius theory and the zeroes of polynomials" 484:
Mathematical Aspects of Electrical Networks Analysis
452:"An inequality for the chromatic number of a graph" 795: 791:Wilf's obituary at the University of Pennsylvania 867:Mathematicians at the University of Pennsylvania 833: 731: 725:MAA Reviews, Mathematical Association of America 241:in 1994 and was its editor-in-chief until 2001. 312:Institute of Combinatorics and its Applications 227:in Combinatorial Analysis and Computing at the 714: 639: 748:Bulletin of the American Mathematical Society 737: 674: 887:Massachusetts Institute of Technology alumni 642:Journal of the American Mathematical Society 618:. Math.upenn.edu. 1931-06-13. Archived from 446: 296:Journal of the American Mathematical Society 289:In 1998, Wilf and Zeilberger received the 29: 877:The American Mathematical Monthly editors 759: 699: 469: 429: 419: 376: 341: 270:. He also served as a thesis advisor for 317: 225:Thomas A. Scott Professor of Mathematics 827:The Electronic Journal of Combinatorics 807:MacTutor History of Mathematics Archive 238:The Electronic Journal of Combinatorics 834: 546:Mathematics for the Physical Sciences 80:Massachusetts Institute of Technology 852:21st-century American mathematicians 847:20th-century American mathematicians 501:SIAM Journal on Discrete Mathematics 393: 361:"The argument of an entire function" 358: 323: 583:Lecture Notes on Numerical Analysis 450:; Wilf, Herbert S. (January 1968). 257:. One of Wilf's former students is 13: 862:University of Pennsylvania faculty 14: 898: 779: 738:Whitehead Jr., Earl Glen (1976). 715:Ricardo, Henry (April 22, 2006). 654:10.1090/S0894-0347-1990-1007910-7 486:, SIAM-AMS Proceedings, Volume 3, 343:10.1090/s0002-9939-1961-0120352-5 561: 761:10.1090/S0002-9904-1976-14187-0 701:10.1090/s0273-0979-1991-16036-2 457:Journal of Combinatorial Theory 378:10.1090/s0002-9904-1961-10649-6 708: 668: 616:"In Memoriam: Herbert S. Wilf" 608: 576:Lectures on Integer Partitions 306:In 2002, Wilf was awarded the 1: 822:Mathematics Genealogy Project 688:Bull. Amer. Math. Soc. (N.S.) 602: 488:American Mathematical Society 471:10.1016/S0021-9800(68)80081-X 394:Wilf, H. S. (February 1961). 244: 7: 590: 277:Wilf died of a progressive 10: 903: 229:University of Pennsylvania 163:University of Pennsylvania 45:Philadelphia, Pennsylvania 882:American textbook writers 531:Algorithms and Complexity 359:Wilf, Herbert S. (1961). 324:Wilf, Herbert S. (1961). 284: 206: 180: 168: 158: 150: 143: 123: 85: 71: 52: 37: 28: 21: 812:University of St Andrews 742:Combinatorial algorithms 552:Combinatorial Algorithms 507: 400:Proc Natl Acad Sci U S A 301:hypergeometric summation 786:Herbert Wilf's homepage 719:generatingfunctionology 682:Generatingfunctionology 538:generatingfunctionology 114:Stanley–Wilf conjecture 64:Wynnewood, Pennsylvania 16:American mathematician 586:(with Dennis Deturck) 421:10.1073/pnas.47.2.209 365:Bull. Amer. Math. Soc 330:Proc. Amer. Math. Soc 318:Selected publications 291:Leroy P. Steele Prize 279:neuromuscular disease 263:collectible card game 261:, the creator of the 175:Herbert Ellis Robbins 128:Leroy P. Steele Prize 798:Robertson, Edmund F. 569:East Side, West Side 267:Magic: The Gathering 118:Szekeres–Wilf number 106:Wilf–Zeilberger pair 796:O'Connor, John J.; 478:1971: (editor with 412:1961PNAS...47..209W 274:in the late 1960s. 76:Columbia University 201:Michael Wertheimer 857:Combinatorialists 213:Herbert Saul Wilf 210: 209: 181:Doctoral students 145:Scientific career 23:Herbert Saul Wilf 894: 814: 774: 773: 763: 735: 729: 728: 712: 706: 705: 703: 684:, by H. S. Wilf" 672: 666: 665: 637: 631: 630: 628: 627: 612: 556:Albert Nijenhuis 520:Doron Zeilberger 475: 473: 443: 433: 423: 390: 380: 355: 345: 272:E. Roy Weintraub 259:Richard Garfield 251:Doron Zeilberger 197:E. Roy Weintraub 189:Richard Garfield 170:Doctoral advisor 139: 132: 110:Calkin–Wilf tree 94:Wilf equivalence 59: 33: 19: 18: 902: 901: 897: 896: 895: 893: 892: 891: 832: 831: 782: 777: 736: 732: 713: 709: 673: 669: 638: 634: 625: 623: 614: 613: 609: 605: 593: 564: 524:Marko Petkovšek 510: 320: 287: 247: 199: 195: 191: 187: 137: 133: 130: 116: 112: 108: 104: 102:Wilf's sequence 100: 96: 92: 78: 72:Alma mater 67: 61: 57: 56:January 7, 2012 48: 42: 24: 17: 12: 11: 5: 900: 890: 889: 884: 879: 874: 869: 864: 859: 854: 849: 844: 830: 829: 824: 815: 802:"Herbert Wilf" 793: 788: 781: 780:External links 778: 776: 775: 754:(6): 870–872. 740:"Book Review: 730: 721:, 3rd edition" 707: 694:(1): 104–106. 667: 648:(1): 147–158. 632: 606: 604: 601: 600: 599: 592: 589: 588: 587: 579: 572: 563: 560: 559: 558: 549: 542: 534: 527: 509: 506: 505: 504: 496: 476: 444: 406:(2): 209–213. 391: 371:(5): 488–489. 356: 336:(2): 247–250. 319: 316: 286: 283: 246: 243: 223:. He was the 208: 207: 204: 203: 182: 178: 177: 172: 166: 165: 160: 156: 155: 152: 148: 147: 141: 140: 125: 121: 120: 87: 86:Known for 83: 82: 73: 69: 68: 62: 60:(aged 80) 54: 50: 49: 43: 39: 35: 34: 26: 25: 22: 15: 9: 6: 4: 3: 2: 899: 888: 885: 883: 880: 878: 875: 873: 870: 868: 865: 863: 860: 858: 855: 853: 850: 848: 845: 843: 840: 839: 837: 828: 825: 823: 819: 816: 813: 809: 808: 803: 799: 794: 792: 789: 787: 784: 783: 771: 767: 762: 757: 753: 749: 745: 743: 734: 726: 722: 720: 711: 702: 697: 693: 689: 685: 683: 677: 676:Hayman, W. K. 671: 663: 659: 655: 651: 647: 643: 636: 622:on 2012-01-20 621: 617: 611: 607: 598: 595: 594: 585: 584: 580: 578: 577: 573: 571: 570: 566: 565: 562:Lecture notes 557: 553: 550: 548: 547: 543: 540: 539: 535: 533: 532: 528: 525: 521: 517: 516: 512: 511: 503: 502: 497: 495: 492: 489: 485: 481: 477: 472: 467: 463: 459: 458: 453: 449: 445: 441: 437: 432: 427: 422: 417: 413: 409: 405: 401: 397: 392: 388: 384: 379: 374: 370: 366: 362: 357: 353: 349: 344: 339: 335: 331: 327: 322: 321: 315: 313: 309: 304: 302: 298: 297: 292: 282: 280: 275: 273: 269: 268: 264: 260: 256: 252: 242: 240: 239: 234: 230: 226: 222: 218: 217:combinatorics 214: 205: 202: 198: 194: 193:Rodica Simion 190: 186: 183: 179: 176: 173: 171: 167: 164: 161: 157: 154:Mathematician 153: 149: 146: 142: 136: 129: 126: 122: 119: 115: 111: 107: 103: 99: 95: 91: 90:Combinatorics 88: 84: 81: 77: 74: 70: 65: 55: 51: 46: 41:June 13, 1931 40: 36: 32: 27: 20: 818:Herbert Wilf 805: 751: 747: 741: 733: 724: 718: 710: 691: 687: 681: 670: 645: 641: 635: 624:. Retrieved 620:the original 610: 582: 575: 568: 551: 545: 537: 530: 514: 499: 483: 480:Frank Harary 461: 455: 448:Szekeres, G. 403: 399: 368: 364: 333: 329: 305: 294: 288: 276: 265: 255:Donald Knuth 248: 236: 235:he founded 221:graph theory 212: 211: 159:Institutions 144: 58:(2012-01-07) 872:2012 deaths 842:1931 births 717:"Review of 308:Euler Medal 233:Neil Calkin 135:Euler Medal 98:Wilf number 836:Categories 626:2012-01-14 603:References 597:Line graph 464:(1): 1–3. 770:0002-9904 680:"Review: 662:0894-0347 281:in 2012. 245:Biography 185:Fan Chung 678:(1991). 591:See also 440:16590820 820:at the 554:, with 494:0329788 408:Bibcode 387:0131549 352:0120352 310:by the 768:  660:  518:(with 438:  431:221658 428:  385:  350:  285:Awards 151:Fields 138:(2002) 131:(1998) 124:Awards 66:, U.S. 47:, U.S. 508:Books 766:ISSN 658:ISSN 522:and 436:PMID 253:and 219:and 53:Died 38:Born 756:doi 696:doi 650:doi 515:A=B 466:doi 426:PMC 416:doi 373:doi 338:doi 838:: 810:, 804:, 800:, 764:. 752:82 750:. 746:. 723:. 692:25 690:. 686:. 656:. 644:. 491:MR 482:) 460:. 454:. 434:. 424:. 414:. 404:47 402:. 398:. 383:MR 381:. 369:67 367:. 363:. 348:MR 346:. 334:12 332:. 328:. 314:. 303:. 772:. 758:: 744:" 727:. 704:. 698:: 664:. 652:: 646:3 629:. 541:. 526:) 474:. 468:: 462:4 442:. 418:: 410:: 389:. 375:: 354:. 340::

Index


Philadelphia, Pennsylvania
Wynnewood, Pennsylvania
Columbia University
Massachusetts Institute of Technology
Combinatorics
Wilf equivalence
Wilf number
Wilf's sequence
Wilf–Zeilberger pair
Calkin–Wilf tree
Stanley–Wilf conjecture
Szekeres–Wilf number
Leroy P. Steele Prize
Euler Medal
University of Pennsylvania
Doctoral advisor
Herbert Ellis Robbins
Fan Chung
Richard Garfield
Rodica Simion
E. Roy Weintraub
Michael Wertheimer
combinatorics
graph theory
Thomas A. Scott Professor of Mathematics
University of Pennsylvania
Neil Calkin
The Electronic Journal of Combinatorics
Doron Zeilberger

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