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Howard Jerome Keisler

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535: 548: 541: 629: 624: 585: 229:. Several others have gone on to careers in computer science research and product development, including: Michael Benedikt, a professor of computer science at the 366: 180: 609: 604: 639: 425: 453: 137: 578: 372: 355: 156: 310: 471: 95: 571: 517: 403: 261: 398: 305:. Studies in Logic and the Foundations of Mathematics, 73. North-Holland Publishing Co., Amsterdam, 1990. xvi+650 pp. 254: 284: 215: 170:'s work resolving what had long been thought to be inherent logical contradictions in the literal interpretation of 619: 614: 238: 200: 393: 299: 192: 360: 145: 68: 250: 171: 246: 234: 634: 230: 184:, a first-year calculus textbook conceptually centered on the use of infinitesimals, rather than the 222: 221:
Among Keisler's graduate students, several have made notable mathematical contributions, including
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that Leibniz himself had proposed, that is, interpreting "dx" as literally representing an
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Distinguished Chair at the University of Massachusetts, Boston, College of Management.
598: 175: 152: 133: 107: 495: 289:. Annals of Mathematical Studies, 58, Princeton University Press, 1966. xii+165 pp. 141: 17: 242: 204: 196: 85: 454:"Keisler is First UMass Boston Prof to be Named Distinguished Fulbright Chair" 440: 320: 268: 513: 241:, Curtis Tuckey, a developer of software-based collaboration environments; 56: 540: 522: 345:, Lecture Notes in Logic, Association for Symbolic Logic. 2002 319:
Prindle, Weber & Schmidt, 1976/1986. Available online at
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List of Fellows of the American Mathematical Society
113: 101: 91: 81: 64: 39: 32: 554:This article about an American mathematician is a 326:An Infinitesimal Approach to Stochastic Analysis 317:Elementary Calculus: An Infinitesimal Approach. 367:Elementary Calculus: An Infinitesimal Approach 181:Elementary Calculus: An Infinitesimal Approach 579: 328:, American Mathematical Society Memoirs, 1984 8: 630:Fellows of the American Mathematical Society 586: 572: 29: 494: 237:, a professor of computer science at the 625:University of Wisconsin–Madison faculty 384: 132:(born 3 December 1936) is an American 7: 610:21st-century American mathematicians 605:20th-century American mathematicians 530: 528: 343:Model Theory of Stochastic Processes 333:Mathematical Logic and Computability 313:; 1st edition 1973; 2nd edition 1977 161:Ultraproducts and Elementary Classes 191:He is also known for extending the 373:Influence of non-standard analysis 356:Criticism of non-standard analysis 260:In 2012 he became a fellow of the 178:small quantity, Keisler published 136:, currently professor emeritus at 25: 476:by C. C. Chang and H. J. Keisler" 293:Model Theory for Infinitary Logic 245:, a neurologist and developer of 546: 539: 533: 496:10.1090/s0002-9904-1976-14035-9 188:, for developing the calculus. 138:University of Wisconsin–Madison 96:University of Wisconsin-Madison 331:Keisler, H. J.; Robbin, Joel. 216:Vilas Professor of Mathematics 1: 518:Mathematics Genealogy Project 298:Chang, C. C.; Keisler, H. J. 267:His son Jeffrey Keisler is a 262:American Mathematical Society 640:American mathematician stubs 558:. You can help Knowledge by 140:. His research has included 399:Encyclopedia of Mathematics 255:IBM Almaden Research Center 253:, a database researcher at 249:hardware and software, and 214:He held the named chair of 203:. He is also known for the 656: 527: 199:) to what are now called 123: 74: 443:, retrieved 2013-01-27. 286:Continuous Model Theory 186:epsilon, delta approach 416:George Weaver (1997). 239:University of Michigan 205:Rudin–Keisler ordering 159:; his dissertation is 151:His Ph.D. advisor was 27:American mathematician 514:Howard Jerome Keisler 483:Bull. Amer. Math. Soc 418:Henkin-Keisler models 394:"Henkin construction" 361:Non-standard calculus 295:, North-Holland, 1971 201:Henkin–Keisler models 146:non-standard analysis 130:Howard Jerome Keisler 69:Non-standard analysis 231:University of Oxford 523:Keisler's home page 392:G. Weaver (2001) , 335:, McGraw-Hill, 1996 227:Rowbottom cardinals 223:Frederick Rowbottom 193:Henkin construction 118:Frederick Rowbottom 172:Leibniz's notation 567: 566: 427:978-0-7923-4366-0 341:; Keisler, H. J. 283:; Keisler, H. J. 251:Edward L. Wimmers 127: 126: 114:Doctoral students 76:Scientific career 18:H. Jerome Keisler 16:(Redirected from 647: 588: 581: 574: 550: 545: 544: 543: 537: 529: 501: 500: 498: 480: 464: 458: 457: 450: 444: 438: 432: 431: 413: 407: 406: 389: 247:vision processor 235:Kevin J. Compton 209:Mary Ellen Rudin 168:Abraham Robinson 103:Doctoral advisor 53: 50:December 3, 1936 49: 47: 30: 21: 655: 654: 650: 649: 648: 646: 645: 644: 620:Model theorists 595: 594: 593: 592: 538: 532: 510: 505: 504: 478: 466: 465: 461: 452: 451: 447: 439: 435: 428: 415: 414: 410: 391: 390: 386: 381: 352: 339:Fajardo, Sergio 303:. Third edition 277: 225:who discovered 176:infinitesimally 60: 59:, United States 54: 51: 45: 43: 35: 28: 23: 22: 15: 12: 11: 5: 653: 651: 643: 642: 637: 632: 627: 622: 617: 612: 607: 597: 596: 591: 590: 583: 576: 568: 565: 564: 551: 526: 525: 520: 509: 508:External links 506: 503: 502: 489:(3): 433–446. 459: 445: 433: 426: 408: 383: 382: 380: 377: 376: 375: 370: 363: 358: 351: 348: 347: 346: 336: 329: 323: 314: 296: 290: 276: 273: 218:at Wisconsin. 125: 124: 121: 120: 115: 111: 110: 105: 99: 98: 93: 89: 88: 83: 79: 78: 72: 71: 66: 65:Known for 62: 61: 55: 41: 37: 36: 34:Howard Keisler 33: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 652: 641: 638: 636: 633: 631: 628: 626: 623: 621: 618: 616: 615:Living people 613: 611: 608: 606: 603: 602: 600: 589: 584: 582: 577: 575: 570: 569: 563: 561: 557: 552: 549: 542: 536: 531: 524: 521: 519: 515: 512: 511: 507: 497: 492: 488: 484: 477: 475: 469: 463: 460: 455: 449: 446: 442: 437: 434: 429: 423: 419: 412: 409: 405: 401: 400: 395: 388: 385: 378: 374: 371: 369: 368: 364: 362: 359: 357: 354: 353: 349: 344: 340: 337: 334: 330: 327: 324: 321: 318: 315: 312: 311:0-444-88054-2 308: 304: 302: 297: 294: 291: 288: 287: 282: 279: 278: 274: 272: 270: 265: 263: 258: 256: 252: 248: 244: 240: 236: 232: 228: 224: 219: 217: 212: 210: 206: 202: 198: 194: 189: 187: 183: 182: 177: 173: 169: 164: 162: 158: 154: 153:Alfred Tarski 149: 147: 143: 139: 135: 134:mathematician 131: 122: 119: 116: 112: 109: 108:Alfred Tarski 106: 104: 100: 97: 94: 90: 87: 84: 80: 77: 73: 70: 67: 63: 58: 52:(age 87) 42: 38: 31: 19: 560:expanding it 553: 486: 482: 474:Model theory 473: 462: 448: 436: 420:. Springer. 417: 411: 397: 387: 365: 342: 332: 325: 316: 301:Model theory 300: 292: 285: 281:Chang, C. C. 275:Publications 266: 259: 220: 213: 190: 179: 165: 160: 150: 142:model theory 129: 128: 92:Institutions 75: 635:1936 births 243:Joseph Sgro 207:along with 197:Leon Henkin 86:Mathematics 599:Categories 468:Makkai, M. 379:References 166:Following 46:1936-12-03 472:"Review: 404:EMS Press 269:Fulbright 470:(1976). 350:See also 163:(1961). 157:Berkeley 516:at the 57:Seattle 424:  309:  82:Fields 479:(PDF) 556:stub 422:ISBN 307:ISBN 195:(of 144:and 40:Born 491:doi 155:at 601:: 487:82 485:. 481:. 402:, 396:, 264:. 257:. 233:, 211:. 148:. 48:) 587:e 580:t 573:v 562:. 499:. 493:: 456:. 430:. 322:. 44:( 20:)

Index

H. Jerome Keisler
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

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