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John Riordan (mathematician)

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Foremost among the keepers of the barely flickering combinatorial flame was John Riordan. John’s work in Combinatorial Theory (or Combinatorial Analysis as he prefers to call it) is uncompromisingly classical in spirit and appearance. Though largely tolerant of modernity he does not let anyone
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Even at the end of my first year as a graduate student at Cornell, in 1962, I managed to arrange a summer job at Bell Labs in Holmdel. This was still on minimal cost networks. During that summer I met another of my heroes, John Riordan, one of the great early workers in combinatorics. His
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is a classic. He was working at Bell Labs in West Street in Manhattan at that time. One of my earliest papers, on a problem that came up in my thesis work, was a joint paper with him.
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forget that Combinatorial Analysis is the art and science of counting (enumerating is the word he prefers) and that a
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Shapiro, Louis W.; Getu, Seyoum; Woan, Wen-Jin; Woodson, Leon C. (November 1991). "The Riordan group".
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Throughout his life Riordan led an active literary life, with many distinguished friends such as
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in New York. He married Mavis McIntosh, the well-known poet and literary agent and founder of
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Kac, M. (1978). "Special Issue in Honor of Riordan, John - Introduction".
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A Guide to John F. Riordan Papers' Rockefeller University Faculty FA 191
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by any other name or definition is still a generating function.
295:"The number of labeled two-terminal series-parallel networks" 528: 108:(April 22, 1903 – August 27, 1988) was an American 665:
John F. Riordan, 1903-1988. Mathematician and engineer
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Mavis McIntosh Riordan, 83; Represented Noted Writers
368: 343: 531:"The enumeration of rooted trees by total height" 676: 140:, published in 1929, and was Editor-in-Chief of 651:in the mathematics group at Bell Laboratories. 604: 289: 561: 441:John F. Riordan, 85, Ex-Bell Labs Engineer 254:An Introduction to Combinatorial Analysis 163:Riordan's long professional career was at 629: 589: 546: 477:Journal of Combinatorial Theory, Series A 705:People from Hastings-on-Hudson, New York 261: 406: 366: 341: 319: 267: 112:and the author of major early works in 677: 569:Introduction to combinatorial analysis 323:Introduction to Combinatorial Analysis 118:Introduction to Combinatorial Analysis 655:A history of mathematics at Bell Labs 649:Former Members of the Technical Staff 685:20th-century American mathematicians 529:J. Riordan, N. J. A. Sloane (1969). 175:was published in his honor in 1978. 474: 13: 150:The New School for Social Research 148:, literary magazines published by 14: 726: 642: 631:10.1090/s0002-9904-1972-12968-9 591:10.1090/s0002-9904-1959-10314-1 201:, is named after John Riordan. 598: 555: 522: 495: 468: 452: 434: 326:. Princeton University Press. 1: 405:(reprinted with corrections: 313:10.1215/S0012-7094-56-02340-7 516:10.1016/0166-218X(91)90088-E 504:Discrete Applied Mathematics 489:10.1016/0097-3165(78)90055-9 217:to the Special Issue of the 158:Hastings-on-Hudson, New York 127: 7: 197:, created by mathematician 10: 731: 346:Stochastic Service Systems 286:(book of 14 short-stories) 223:in honor of John Riordan: 204: 132:Riordan was a graduate of 548:10.1017/S1446788700007527 465:obituary, August 6, 1986. 449:obituary, August 31, 1988 300:Duke Mathematical Journal 171:as professor emeritus. A 95: 87: 79: 69: 50: 28: 21: 609:Combinatorial identities 427: 411:. R.E. Krieger Pub. Co. 409:Combinatorial Identities 371:Combinatorial Identities 293:; Riordan, John (1956). 246:published by Bell Labs: 146:The Figure in the Carpet 122:Combinatorial Identities 695:Scientists at Bell Labs 605:Stein, Paul R. (1972). 184:William Carlos Williams 62:Scituate, Massachusetts 700:Yale University alumni 670:The John Riordan Prize 407:Riordan, John (1979). 367:Riordan, John (1968). 342:Riordan, John (1962). 320:Riordan, John (1958). 268:Riordan, John (1929). 169:Rockefeller University 16:American mathematician 618:Bull. Amer. Math. Soc 578:Bull. Amer. Math. Soc 535:J. Austral. Math. Soc 377:John Wiley & Sons 352:John Wiley & Sons 274:Farrar & Rinehart 262:Selected publications 106:John Francis Riordan 231:generating function 154:McIntosh & Otis 611:, by John Riordan" 571:, by John Riordan" 463:The New York Times 446:The New York Times 43:Derby, Connecticut 690:Combinatorialists 418:978-0-88275-829-9 333:978-0-691-02365-6 103: 102: 88:Years active 722: 636: 635: 633: 615: 602: 596: 595: 593: 575: 559: 553: 552: 550: 541:(3–4): 278–282. 526: 520: 519: 510:(1–3): 229–239. 499: 493: 492: 472: 466: 456: 450: 438: 422: 404: 374: 363: 349: 337: 316: 291:Carlitz, Leonard 285: 199:Louis W. Shapiro 57: 38: 36: 19: 18: 730: 729: 725: 724: 723: 721: 720: 719: 675: 674: 645: 640: 639: 613: 603: 599: 573: 560: 556: 527: 523: 500: 496: 473: 469: 457: 453: 439: 435: 430: 419: 334: 264: 207: 134:Yale University 130: 116:, particularly 91:1926–1968 74:Yale University 70:Alma mater 65: 64:, United States 59: 55: 54:August 27, 1988 46: 45:, United States 40: 34: 32: 24: 17: 12: 11: 5: 728: 718: 717: 712: 707: 702: 697: 692: 687: 673: 672: 667: 662: 657: 652: 644: 643:External links 641: 638: 637: 624:(4): 490–496. 597: 584:(3): 166–169. 554: 521: 494: 467: 451: 432: 431: 429: 426: 425: 424: 417: 364: 339: 332: 317: 307:(3): 435–445. 287: 263: 260: 259: 258: 236: 235: 206: 203: 129: 126: 101: 100: 99:Mavis McIntosh 97: 93: 92: 89: 85: 84: 81: 77: 76: 71: 67: 66: 60: 58:(aged 85) 52: 48: 47: 41: 39:April 22, 1903 30: 26: 25: 22: 15: 9: 6: 4: 3: 2: 727: 716: 713: 711: 708: 706: 703: 701: 698: 696: 693: 691: 688: 686: 683: 682: 680: 671: 668: 666: 663: 661: 658: 656: 653: 650: 647: 646: 632: 627: 623: 619: 612: 610: 601: 592: 587: 583: 579: 572: 570: 564: 563:Harary, Frank 558: 549: 544: 540: 536: 532: 525: 517: 513: 509: 505: 498: 490: 486: 483:(3): ii-255. 482: 478: 471: 464: 460: 455: 448: 447: 442: 437: 433: 420: 414: 410: 402: 398: 394: 390: 386: 382: 378: 373: 372: 365: 361: 357: 353: 348: 347: 340: 335: 329: 325: 324: 318: 314: 310: 306: 302: 301: 296: 292: 288: 283: 279: 275: 271: 266: 265: 257: 253: 249: 248: 247: 245: 241: 234: 232: 226: 225: 224: 222: 221: 216: 212: 202: 200: 196: 195:Riordan array 191: 189: 185: 181: 180:Kenneth Burke 176: 174: 170: 166: 161: 159: 155: 151: 147: 143: 139: 135: 125: 123: 119: 115: 114:combinatorics 111: 110:mathematician 107: 98: 94: 90: 86: 83:Mathematician 82: 78: 75: 72: 68: 63: 53: 49: 44: 31: 27: 20: 621: 617: 608: 600: 581: 577: 568: 557: 538: 534: 524: 507: 503: 497: 480: 476: 470: 462: 454: 444: 436: 408: 370: 345: 322: 304: 298: 269: 255: 250: 240:an interview 237: 227: 218: 211:Introduction 210: 208: 192: 177: 162: 145: 141: 137: 131: 121: 117: 105: 104: 56:(1988-08-27) 23:John Riordan 715:1988 deaths 710:1903 births 270:On the Make 244:Neil Sloane 188:A. R. Orage 173:Festschrift 138:On the Make 679:Categories 80:Occupation 35:1903-04-22 607:"Review: 567:"Review: 401:681863847 209:From the 165:Bell Labs 128:Biography 565:(1959). 385:67031375 360:62008785 215:Marc Kac 393:0231725 282:7532863 205:Tribute 142:Salient 415:  399:  391:  383:  358:  330:  280:  186:, and 96:Spouse 614:(PDF) 574:(PDF) 428:Notes 242:with 238:From 413:ISBN 397:OCLC 381:LCCN 356:LCCN 328:ISBN 278:OCLC 252:book 220:JCTA 193:The 144:and 120:and 51:Died 29:Born 626:doi 586:doi 543:doi 512:doi 485:doi 309:doi 213:by 681:: 622:78 620:. 616:. 582:65 580:. 576:. 539:10 537:. 533:. 508:34 506:. 481:24 479:. 461:, 443:, 395:. 389:MR 387:. 379:. 375:. 354:. 350:. 305:23 303:. 297:. 276:. 272:. 190:. 182:, 160:. 124:. 634:. 628:: 594:. 588:: 551:. 545:: 518:. 514:: 491:. 487:: 423:) 421:. 403:. 362:. 336:. 315:. 311:: 284:. 37:) 33:(

Index

Derby, Connecticut
Scituate, Massachusetts
Yale University
mathematician
combinatorics
Yale University
The New School for Social Research
McIntosh & Otis
Hastings-on-Hudson, New York
Bell Labs
Rockefeller University
Festschrift
Kenneth Burke
William Carlos Williams
A. R. Orage
Riordan array
Louis W. Shapiro
Marc Kac
JCTA
generating function
an interview
Neil Sloane
Farrar & Rinehart
OCLC
7532863
Carlitz, Leonard
"The number of labeled two-terminal series-parallel networks"
Duke Mathematical Journal
doi
10.1215/S0012-7094-56-02340-7

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