Knowledge

Howard Jerome Keisler

Source đź“ť

524: 537: 530: 204: 189: 218:. Several others have gone on to careers in computer science research and product development, including: Michael Benedikt, a professor of computer science at the 618: 181: 613: 239: 235: 223: 574: 355: 169: 598: 593: 442: 460: 628: 414: 567: 126: 361: 344: 145: 294:. Studies in Logic and the Foundations of Mathematics, 73. North-Holland Publishing Co., Amsterdam, 1990. xvi+650 pp. 299: 273: 174: 159:'s work resolving what had long been thought to be inherent logical contradictions in the literal interpretation of 84: 560: 506: 392: 250: 387: 382: 288: 243: 173:, a first-year calculus textbook conceptually centered on the use of infinitesimals, rather than the 608: 210:
Among Keisler's graduate students, several have made notable mathematical contributions, including
193: 603: 548: 227: 349: 160: 134: 57: 623: 219: 163:
that Leibniz himself had proposed, that is, interpreting "dx" as literally representing an
8: 211: 106: 260:
Distinguished Chair at the University of Massachusetts, Boston, College of Management.
215: 410: 295: 484: 479: 278:. Annals of Mathematical Studies, 58, Princeton University Press, 1966. xii+165 pp. 269: 197: 156: 91: 544: 456: 327: 443:"Keisler is First UMass Boston Prof to be Named Distinguished Fulbright Chair" 429: 309: 587: 164: 141: 122: 96: 523: 536: 502: 230:, Curtis Tuckey, a developer of software-based collaboration environments; 130: 231: 185: 74: 511: 257: 45: 334:, Lecture Notes in Logic, Association for Symbolic Logic. 2002 308:
Prindle, Weber & Schmidt, 1976/1986. Available online at
529: 430:
List of Fellows of the American Mathematical Society
543:This article about an American mathematician is a 585: 315:An Infinitesimal Approach to Stochastic Analysis 306:Elementary Calculus: An Infinitesimal Approach. 356:Elementary Calculus: An Infinitesimal Approach 170:Elementary Calculus: An Infinitesimal Approach 568: 404: 317:, American Mathematical Society Memoirs, 1984 619:Fellows of the American Mathematical Society 575: 561: 455: 483: 380: 226:, a professor of computer science at the 614:University of Wisconsin–Madison faculty 586: 121:(born 3 December 1936) is an American 599:21st-century American mathematicians 594:20th-century American mathematicians 517: 332:Model Theory of Stochastic Processes 322:Mathematical Logic and Computability 302:; 1st edition 1973; 2nd edition 1977 150:Ultraproducts and Elementary Classes 180:He is also known for extending the 13: 362:Influence of non-standard analysis 345:Criticism of non-standard analysis 249:In 2012 he became a fellow of the 167:small quantity, Keisler published 125:, currently professor emeritus at 14: 640: 496: 465:by C. C. Chang and H. J. Keisler" 282:Model Theory for Infinitary Logic 234:, a neurologist and developer of 535: 528: 522: 485:10.1090/s0002-9904-1976-14035-9 263: 177:, for developing the calculus. 127:University of Wisconsin–Madison 85:University of Wisconsin-Madison 449: 435: 423: 398: 374: 320:Keisler, H. J.; Robbin, Joel. 205:Vilas Professor of Mathematics 1: 507:Mathematics Genealogy Project 367: 287:Chang, C. C.; Keisler, H. J. 256:His son Jeffrey Keisler is a 251:American Mathematical Society 629:American mathematician stubs 547:. You can help Knowledge by 129:. His research has included 7: 388:Encyclopedia of Mathematics 338: 244:IBM Almaden Research Center 242:, a database researcher at 238:hardware and software, and 203:He held the named chair of 192:. He is also known for the 10: 645: 516: 188:) to what are now called 112: 102: 90: 80: 70: 63: 53: 28: 21: 432:, retrieved 2013-01-27. 275:Continuous Model Theory 175:epsilon, delta approach 405:George Weaver (1997). 228:University of Michigan 194:Rudin–Keisler ordering 148:; his dissertation is 140:His Ph.D. advisor was 16:American mathematician 503:Howard Jerome Keisler 472:Bull. Amer. Math. Soc 407:Henkin-Keisler models 383:"Henkin construction" 350:Non-standard calculus 284:, North-Holland, 1971 190:Henkin–Keisler models 135:non-standard analysis 119:Howard Jerome Keisler 58:Non-standard analysis 220:University of Oxford 512:Keisler's home page 381:G. Weaver (2001) , 324:, McGraw-Hill, 1996 216:Rowbottom cardinals 212:Frederick Rowbottom 182:Henkin construction 107:Frederick Rowbottom 161:Leibniz's notation 556: 555: 416:978-0-7923-4366-0 330:; Keisler, H. J. 272:; Keisler, H. J. 240:Edward L. Wimmers 116: 115: 103:Doctoral students 65:Scientific career 636: 577: 570: 563: 539: 534: 533: 532: 526: 518: 490: 489: 487: 469: 453: 447: 446: 439: 433: 427: 421: 420: 402: 396: 395: 378: 236:vision processor 224:Kevin J. Compton 198:Mary Ellen Rudin 157:Abraham Robinson 92:Doctoral advisor 42: 39:December 3, 1936 38: 36: 19: 18: 644: 643: 639: 638: 637: 635: 634: 633: 609:Model theorists 584: 583: 582: 581: 527: 521: 499: 494: 493: 467: 454: 450: 441: 440: 436: 428: 424: 417: 403: 399: 379: 375: 370: 341: 328:Fajardo, Sergio 292:. Third edition 266: 214:who discovered 165:infinitesimally 49: 48:, United States 43: 40: 34: 32: 24: 17: 12: 11: 5: 642: 632: 631: 626: 621: 616: 611: 606: 601: 596: 580: 579: 572: 565: 557: 554: 553: 540: 515: 514: 509: 498: 497:External links 495: 492: 491: 478:(3): 433–446. 448: 434: 422: 415: 397: 372: 371: 369: 366: 365: 364: 359: 352: 347: 340: 337: 336: 335: 325: 318: 312: 303: 285: 279: 265: 262: 207:at Wisconsin. 114: 113: 110: 109: 104: 100: 99: 94: 88: 87: 82: 78: 77: 72: 68: 67: 61: 60: 55: 54:Known for 51: 50: 44: 30: 26: 25: 23:Howard Keisler 22: 15: 9: 6: 4: 3: 2: 641: 630: 627: 625: 622: 620: 617: 615: 612: 610: 607: 605: 604:Living people 602: 600: 597: 595: 592: 591: 589: 578: 573: 571: 566: 564: 559: 558: 552: 550: 546: 541: 538: 531: 525: 520: 519: 513: 510: 508: 504: 501: 500: 486: 481: 477: 473: 466: 464: 458: 452: 444: 438: 431: 426: 418: 412: 408: 401: 394: 390: 389: 384: 377: 373: 363: 360: 358: 357: 353: 351: 348: 346: 343: 342: 333: 329: 326: 323: 319: 316: 313: 310: 307: 304: 301: 300:0-444-88054-2 297: 293: 291: 286: 283: 280: 277: 276: 271: 268: 267: 261: 259: 254: 252: 247: 245: 241: 237: 233: 229: 225: 221: 217: 213: 208: 206: 201: 199: 195: 191: 187: 183: 178: 176: 172: 171: 166: 162: 158: 153: 151: 147: 143: 142:Alfred Tarski 138: 136: 132: 128: 124: 123:mathematician 120: 111: 108: 105: 101: 98: 97:Alfred Tarski 95: 93: 89: 86: 83: 79: 76: 73: 69: 66: 62: 59: 56: 52: 47: 41:(age 87) 31: 27: 20: 549:expanding it 542: 475: 471: 463:Model theory 462: 451: 437: 425: 409:. Springer. 406: 400: 386: 376: 354: 331: 321: 314: 305: 290:Model theory 289: 281: 274: 270:Chang, C. C. 264:Publications 255: 248: 209: 202: 179: 168: 154: 149: 139: 131:model theory 118: 117: 81:Institutions 64: 624:1936 births 232:Joseph Sgro 196:along with 186:Leon Henkin 75:Mathematics 588:Categories 457:Makkai, M. 368:References 155:Following 35:1936-12-03 461:"Review: 393:EMS Press 258:Fulbright 459:(1976). 339:See also 152:(1961). 146:Berkeley 505:at the 46:Seattle 413:  298:  71:Fields 468:(PDF) 545:stub 411:ISBN 296:ISBN 184:(of 133:and 29:Born 480:doi 144:at 590:: 476:82 474:. 470:. 391:, 385:, 253:. 246:. 222:, 200:. 137:. 37:) 576:e 569:t 562:v 551:. 488:. 482:: 445:. 419:. 311:. 33:(

Index

Seattle
Non-standard analysis
Mathematics
University of Wisconsin-Madison
Doctoral advisor
Alfred Tarski
Frederick Rowbottom
mathematician
University of Wisconsin–Madison
model theory
non-standard analysis
Alfred Tarski
Berkeley
Abraham Robinson
Leibniz's notation
infinitesimally
Elementary Calculus: An Infinitesimal Approach
epsilon, delta approach
Henkin construction
Leon Henkin
Henkin–Keisler models
Rudin–Keisler ordering
Mary Ellen Rudin
Vilas Professor of Mathematics
Frederick Rowbottom
Rowbottom cardinals
University of Oxford
Kevin J. Compton
University of Michigan
Joseph Sgro

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

↑