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Walter Rudin

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Rudin's analysis textbooks have also been influential in mathematical education worldwide, having been translated into 13 languages, including Russian, Chinese, and Spanish.
1043:"Review: Casper Goffman, Real Functions, and Walter Rudin, Principles of mathematical analysis, and Henry P. Thielman, Theory of functions of real variables" 1550: 1555: 1515: 1565: 902: 1510: 1505: 242:, acclaimed for its elegance and clarity, has since become a standard textbook for introductory real analysis courses in the United States. 1570: 557: 520: 320: 1540: 1445: 790: 671: 146: 663: 305: 258: 218: 202: 150: 46: 849: 265:, where he was part of a small program that prepared its students for entry to British universities. His family fled to 1232: 1190: 1161: 1136: 1022: 1131:. Translated by Zhao, Cigeng; Jiang, Duo. Beijing: People's Education Press, China Machine Press (reprint, 2004). 1525: 703:
Rudin, Walter; Bers, L.; Courant, R.; Stoker, J. J.; Henney, Dagmar Renate (1964). "Fourier Analysis on Groups".
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Bilyk, Dmitriy; De Carli, Laura; Petukhov, Alexander; Stokolos, Alexander M.; Wick, Brett D., eds. (2012).
1086: 1206: 1545: 561: 1475: 1461: 854: 262: 1440: 1366: 1218: 746: 288:, after which he left for the United States. He obtained both his B.A. in 1947 and Ph.D. in 1949 from 1530: 662:. International Series in Pure and Applied Mathematics. Vol. 8 (Second ed.). New York, NY: 277: 235: 1450: 927:
Nagel, Alexander; Stout, Edgar Lee; Kahane, Jean-Pierre; Rosay, Jean-Pierre; Wermer, John (2013).
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Walter B. Rudin, "Set Theory: An Offspring of Analysis" (1990 Morris Marden Lecture) – YouTube
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Recent Advances in Harmonic Analysis and Applications: In Honor of Konstantin Oskolkov
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for Mathematical Exposition in 1993 for authorship of the now classic analysis texts,
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in 1921. He was enrolled for a period of time at a Swiss boarding school, the
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only two years after obtaining his Ph.D. from Duke University, while he was a
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Principles of Mathematical Analysis (simplified Chinese translation)
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where he remained for 32 years. His research interests ranged from
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Massachusetts Institute of Technology School of Science faculty
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Principles of Mathematical Analysis (Spanish translation)
521:"Holomorphic maps that extend to automorphisms of a ball" 297: 702: 1369: 926: 749: 564: 433:"Factorization in the group algebra of the real line" 1521:
Deaths from Parkinson's disease in the United States
817: 1384: 1247: 1087:"Book Review: Principles of Mathematical Analysis" 764: 581: 1434: 903:"Noted UW-Madison mathematician Rudin dies at 89" 785:. Providence, RI: American Mathematical Society. 361:Rudin died on May 20, 2010, after suffering from 280:in 1940, Rudin fled to England and served in the 121:Leroy P. Steele Prize for Mathematical Exposition 1487: 1209:Actes Congr. Int. Math., Nice 2 (1970): 489–493. 208:In addition to his contributions to complex and 1291:(1973-01-01). "Review of Functional Analysis". 1396:Bulletin of the American Mathematical Society 1317: 1047:Bulletin of the American Mathematical Society 896: 894: 892: 319:In 1970 Rudin was an Invited Speaker at the 877: 875: 1556:American people of Austrian-Jewish descent 1407: 1372: 1342: 1272: 1058: 947: 889: 752: 607: 568: 539: 501: 466: 456: 413: 342:In 1953, he married fellow mathematician 1516:Neurological disease deaths in Wisconsin 1084: 872: 807:Steele Prize for Mathematical Exposition 368: 335:He received an honorary degree from the 321:International Congress of Mathematicians 92:Mathematics textbooks; contributions to 1566:Austrian emigrants to the United States 1551:University of Wisconsin–Madison faculty 1446:MacTutor History of Mathematics Archive 1287: 1017:(2nd ed.). New York: McGraw-Hill. 992:(3rd ed.). New York: McGraw-Hill. 967:(3rd ed.). New York: McGraw-Hill. 84:Duke University (B.A. 1947, Ph.D. 1949) 1488: 1357: 1221:"remarks on Walter Rudin's PhD thesis" 1040: 929:"Remembering Walter Rudin (1921–2010)" 850:Helson–Kahane–Katznelson–Rudin theorem 398:"Uniqueness theory for Laplace series" 1176: 1151: 1124: 1107: 1089:. Mathematical Association of America 1012: 987: 962: 780: 652: 518: 483: 430: 395: 379: 147:Massachusetts Institute of Technology 1511:21st-century American mathematicians 1506:20th-century American mathematicians 1080: 1078: 1036: 1034: 900: 664:McGraw-Hill Science/Engineering/Math 382:Uniqueness Theory for Laplace Series 201:and professor of mathematics at the 191:(May 2, 1921 – May 20, 2010) was an 1111:Principles of Mathematical Analysis 1085:Locascio, Andrew (13 August 2007). 965:Principles of Mathematical Analysis 742:Function Theory in the Unit Ball of 636:Principles of Mathematical Analysis 329:Principles of Mathematical Analysis 304:before becoming a professor at the 232:Principles of Mathematical Analysis 219:Principles of Mathematical Analysis 13: 582:{\displaystyle {\mathbb {C} }^{2}} 14: 1582: 1571:Institut auf dem Rosenberg alumni 1428: 1207:"Harmonic analysis in polydiscs." 1075: 1031: 609:10.1090/s0002-9939-1981-0614897-1 541:10.1090/s0002-9939-1981-0597656-8 415:10.1090/s0002-9947-1950-0033368-1 1385:{\displaystyle \mathbb {C} ^{n}} 834: 820: 765:{\displaystyle \mathbb {C} ^{n}} 1409:10.1090/s0273-0979-1981-14951-x 1351: 1344:10.1090/s0002-9904-1964-11092-2 1311: 1281: 1274:10.1090/s0002-9904-1968-11881-6 1241: 1212: 1199: 1170: 1145: 1118: 1060:10.1090/s0002-9904-1953-09765-8 800: 503:10.1090/s0002-9904-1967-11758-0 354:, a home designed by architect 306:University of Wisconsin–Madison 203:University of Wisconsin–Madison 151:University of Wisconsin–Madison 1541:American mathematical analysts 1101: 1006: 981: 956: 920: 901:Ziff, Deborah (May 21, 2010). 694:(1973; 2nd ed., 1991, 424 pp.) 649:(1966; 3rd ed., 1987, 416 pp.) 640:(1953; 3rd ed., 1976, 342 pp.) 558:Totally real Klein bottles in 1: 1471:Mathematics Genealogy Project 1183:American Mathematical Society 865: 118:American Mathematical Society 1457:UW Mathematics Dept obituary 1041:Munroe, M. E. (2016-11-06). 734:Function Theory in Polydiscs 323:in Nice. He was awarded the 292:. After his Ph.D., he was a 248: 7: 813: 300:. He briefly taught at the 10: 1587: 1325:Fourier analysis on groups 390:Selected research articles 384:(Thesis). Duke University. 358:. They had four children. 333:Real and Complex Analysis. 263:Institut auf dem Rosenberg 212:, Rudin was known for his 1476:Photos of Rudin Residence 1255:Real and complex analysis 990:Real and Complex Analysis 645:Real and Complex Analysis 236:C. L. E. Moore Instructor 224:Real and Complex Analysis 182: 168: 156: 142: 134: 127: 113: 103: 88: 80: 72: 53: 28: 21: 1451:University of St Andrews 486:"Zero-sets in polydiscs" 437:Proc Natl Acad Sci U S A 1323:"Review: Walter Rudin, 1253:"Review: Walter Rudin, 1013:Rudin, Walter (1991) . 988:Rudin, Walter (1987) . 963:Rudin, Walter (1976) . 907:Wisconsin State Journal 302:University of Rochester 294:C.L.E. Moore instructor 1526:Duke University alumni 1386: 1177:Rudin, Walter (1992). 1152:Rudin, Walter (1980). 1125:Rudin, Walter (1979). 1108:Rudin, Walter (1976). 855:Rudin–Shapiro sequence 781:Rudin, Walter (1997). 766: 583: 519:Rudin, Walter (1981). 484:Rudin, Walter (1967). 402:Trans. Amer. Math. Soc 396:Rudin, Walter (1950). 380:Rudin, Walter (1950). 278:surrendered to Germany 253:Rudin was born into a 16:American mathematician 1387: 1179:The Way I Remember it 783:The Way I Remember It 767: 596:Proc. Amer. Math. Soc 584: 528:Proc. Amer. Math. Soc 490:Bull. Amer. Math. Soc 458:10.1073/pnas.43.4.339 369:Selected publications 325:Leroy P. Steele Prize 214:mathematical analysis 1437:Robertson, Edmund F. 1367: 747: 602:(4): 653–654. 1981. 562: 337:University of Vienna 228:Functional Analysis. 1536:Functional analysts 1435:O'Connor, John J.; 1331:Bull. Am. Math. Soc 1289:Kadison, Richard V. 1261:Bull. Am. Math. Soc 1015:Functional Analysis 717:1964PhT....17a..82R 690:Functional Analysis 659:Functional Analysis 449:1957PNAS...43..339R 363:Parkinson's disease 350:, in the eponymous 1546:Operator theorists 1382: 1293:American Scientist 1249:Shapiro, Victor L. 936:Notices of the AMS 860:Rudin's conjecture 842:Mathematics portal 828:Biographies portal 762: 579: 431:Rudin, W. (1957). 356:Frank Lloyd Wright 352:Walter Rudin House 348:Madison, Wisconsin 65:Madison, Wisconsin 1359:Krantz, Steven G. 792:978-0-8218-0633-3 725:10.1063/1.3051392 673:978-0-07-054236-5 344:Mary Ellen Estill 310:harmonic analysis 210:harmonic analysis 186: 185: 169:Doctoral students 129:Scientific career 94:harmonic analysis 1578: 1531:Complex analysts 1453: 1422: 1421: 1411: 1391: 1389: 1388: 1383: 1381: 1380: 1375: 1355: 1349: 1348: 1346: 1315: 1309: 1308: 1285: 1279: 1278: 1276: 1245: 1239: 1238: 1216: 1210: 1203: 1197: 1196: 1174: 1168: 1167: 1149: 1143: 1142: 1122: 1116: 1115: 1105: 1099: 1098: 1096: 1094: 1082: 1073: 1072: 1062: 1038: 1029: 1028: 1010: 1004: 1003: 985: 979: 978: 960: 954: 953: 951: 933: 924: 918: 917: 915: 913: 898: 887: 886: 879: 844: 839: 838: 830: 825: 824: 823: 796: 771: 769: 768: 763: 761: 760: 755: 737: 728: 693: 685: 648: 639: 621: 611: 588: 586: 585: 580: 578: 577: 572: 571: 553: 543: 525: 515: 505: 480: 470: 460: 427: 417: 385: 314:complex analysis 284:for the rest of 158:Doctoral advisor 108:Mary Ellen Rudin 98:complex analysis 60: 38: 36: 19: 18: 1586: 1585: 1581: 1580: 1579: 1577: 1576: 1575: 1486: 1485: 1462:MathDL obituary 1431: 1426: 1425: 1376: 1371: 1370: 1368: 1365: 1364: 1356: 1352: 1316: 1312: 1286: 1282: 1246: 1242: 1235: 1217: 1213: 1205:Rudin, Walter. 1204: 1200: 1193: 1175: 1171: 1164: 1150: 1146: 1139: 1123: 1119: 1106: 1102: 1092: 1090: 1083: 1076: 1039: 1032: 1025: 1011: 1007: 1000: 986: 982: 975: 961: 957: 949:10.1090/noti955 931: 925: 921: 911: 909: 899: 890: 881: 880: 873: 868: 840: 833: 826: 821: 819: 816: 803: 793: 776:Autobiography: 756: 751: 750: 748: 745: 744: 732: 688: 674: 643: 634: 590: 573: 567: 566: 565: 563: 560: 559: 523: 371: 290:Duke University 251: 175: 163:John Jay Gergen 149: 81:Alma mater 68: 62: 58: 49: 40: 34: 32: 24: 17: 12: 11: 5: 1584: 1574: 1573: 1568: 1563: 1558: 1553: 1548: 1543: 1538: 1533: 1528: 1523: 1518: 1513: 1508: 1503: 1498: 1484: 1483: 1478: 1473: 1464: 1459: 1454: 1441:"Walter Rudin" 1430: 1429:External links 1427: 1424: 1423: 1402:(3): 331–339. 1398:. New Series. 1379: 1374: 1361:(1981-11-01). 1350: 1337:(2): 230–232. 1310: 1280: 1240: 1233: 1211: 1198: 1191: 1185:. p. 39. 1169: 1162: 1144: 1137: 1117: 1100: 1074: 1053:(6): 572–577. 1030: 1023: 1005: 998: 980: 973: 955: 942:(3): 295–301. 919: 888: 870: 869: 867: 864: 863: 862: 857: 852: 846: 845: 831: 815: 812: 811: 810: 802: 799: 798: 797: 791: 774: 773: 759: 754: 739: 730: 696: 695: 686: 672: 650: 641: 628: 627: 623: 622: 576: 570: 554: 534:(3): 429–432. 516: 496:(4): 580–583. 481: 443:(4): 339–340. 428: 408:(2): 287–303. 392: 391: 387: 386: 376: 375: 370: 367: 250: 247: 184: 183: 180: 179: 170: 166: 165: 160: 154: 153: 144: 140: 139: 136: 132: 131: 125: 124: 115: 111: 110: 105: 101: 100: 90: 89:Known for 86: 85: 82: 78: 77: 74: 70: 69: 63: 61:(aged 89) 55: 51: 50: 41: 30: 26: 25: 22: 15: 9: 6: 4: 3: 2: 1583: 1572: 1569: 1567: 1564: 1562: 1559: 1557: 1554: 1552: 1549: 1547: 1544: 1542: 1539: 1537: 1534: 1532: 1529: 1527: 1524: 1522: 1519: 1517: 1514: 1512: 1509: 1507: 1504: 1502: 1499: 1497: 1494: 1493: 1491: 1482: 1479: 1477: 1474: 1472: 1468: 1465: 1463: 1460: 1458: 1455: 1452: 1448: 1447: 1442: 1438: 1433: 1432: 1419: 1415: 1410: 1405: 1401: 1397: 1393: 1377: 1360: 1354: 1345: 1340: 1336: 1332: 1328: 1326: 1320: 1319:Kahane, J.-P. 1314: 1306: 1302: 1298: 1294: 1290: 1284: 1275: 1270: 1266: 1262: 1258: 1256: 1250: 1244: 1236: 1234:9781461445647 1230: 1226: 1222: 1215: 1208: 1202: 1194: 1192:9780821872550 1188: 1184: 1180: 1173: 1165: 1163:968-6046-82-8 1159: 1155: 1148: 1140: 1138:7-111-13417-6 1134: 1130: 1129: 1121: 1113: 1112: 1104: 1088: 1081: 1079: 1070: 1066: 1061: 1056: 1052: 1048: 1044: 1037: 1035: 1026: 1024:0-07-100944-2 1020: 1016: 1009: 1001: 995: 991: 984: 976: 970: 966: 959: 950: 945: 941: 937: 930: 923: 908: 904: 897: 895: 893: 884: 878: 876: 871: 861: 858: 856: 853: 851: 848: 847: 843: 837: 832: 829: 818: 808: 805: 804: 794: 788: 784: 779: 778: 777: 757: 743: 740: 735: 731: 726: 722: 718: 714: 710: 706: 705:Physics Today 701: 700: 699: 691: 687: 683: 679: 675: 669: 665: 661: 660: 655: 654:Rudin, Walter 651: 646: 642: 637: 633: 632: 631: 625: 624: 619: 615: 610: 605: 601: 597: 593: 589: 574: 555: 551: 547: 542: 537: 533: 529: 522: 517: 513: 509: 504: 499: 495: 491: 487: 482: 478: 474: 469: 464: 459: 454: 450: 446: 442: 438: 434: 429: 425: 421: 416: 411: 407: 403: 399: 394: 393: 389: 388: 383: 378: 377: 373: 372: 366: 364: 359: 357: 353: 349: 345: 340: 338: 334: 330: 326: 322: 317: 315: 311: 307: 303: 299: 295: 291: 287: 283: 279: 274: 272: 268: 264: 260: 256: 246: 243: 241: 237: 233: 229: 225: 221: 220: 215: 211: 206: 204: 200: 199:mathematician 197: 194: 190: 181: 178: 174: 173:Charles Dunkl 171: 167: 164: 161: 159: 155: 152: 148: 145: 141: 137: 133: 130: 126: 122: 119: 116: 112: 109: 106: 102: 99: 95: 91: 87: 83: 79: 76:United States 75: 71: 66: 56: 52: 48: 44: 31: 27: 20: 1467:Walter Rudin 1444: 1399: 1395: 1353: 1334: 1330: 1324: 1313: 1296: 1292: 1283: 1267:(1): 79–83. 1264: 1260: 1254: 1243: 1224: 1214: 1201: 1178: 1172: 1153: 1147: 1127: 1120: 1110: 1103: 1091:. 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(1980) 682:21163277 656:(1991). 477:16578475 196:American 1469:at the 912:May 21, 713:Bibcode 618:0614897 592:"(PDF)" 550:0597656 512:0210934 445:Bibcode 424:0033368 259:Austria 47:Austria 1416:  1303:  1231:  1189:  1160:  1135:  1067:  1021:  996:  971:  809:(1993) 789:  738:(1969) 729:(1962) 680:  670:  616:  548:  510:  475:  468:528447 465:  422:  267:France 255:Jewish 226:, and 135:Fields 123:(1993) 114:Awards 104:Spouse 67:, U.S. 43:Vienna 1301:JSTOR 932:(PDF) 626:Books 524:(PDF) 1414:ISSN 1229:ISBN 1187:ISBN 1158:ISBN 1133:ISBN 1095:2016 1065:ISSN 1019:ISBN 994:ISBN 969:ISBN 914:2010 787:ISBN 678:OCLC 668:ISBN 473:PMID 331:and 96:and 54:Died 29:Born 1404:doi 1339:doi 1269:doi 1055:doi 944:doi 721:doi 604:doi 536:doi 498:doi 463:PMC 453:doi 410:doi 312:to 298:MIT 296:at 1492:: 1449:, 1443:, 1439:, 1412:. 1394:. 1335:70 1333:. 1329:. 1297:61 1295:. 1265:74 1263:. 1259:. 1223:. 1181:. 1077:^ 1063:. 1051:59 1049:. 1045:. 1033:^ 940:60 938:. 934:. 905:. 891:^ 874:^ 719:. 709:17 707:. 676:. 666:. 614:MR 612:. 600:82 598:. 594:. 546:MR 544:. 532:81 530:. 526:. 508:MR 506:. 494:73 492:. 488:. 471:. 461:. 451:. 441:43 439:. 435:. 420:MR 418:. 406:68 404:. 400:. 365:. 316:. 222:, 205:. 45:, 1420:. 1406:: 1400:5 1392:" 1378:n 1373:C 1347:. 1341:: 1327:" 1307:. 1277:. 1271:: 1257:" 1237:. 1195:. 1166:. 1141:. 1097:. 1071:. 1057:: 1027:. 1002:. 977:. 952:. 946:: 916:. 885:. 795:. 758:n 753:C 736:. 727:. 723:: 715:: 692:. 684:. 647:. 638:. 620:. 606:: 575:2 569:C 556:" 552:. 538:: 514:. 500:: 479:. 455:: 447:: 426:. 412:: 37:) 33:(

Index

Vienna
Austria
Madison, Wisconsin
harmonic analysis
complex analysis
Mary Ellen Rudin
American Mathematical Society
Leroy P. Steele Prize for Mathematical Exposition
Massachusetts Institute of Technology
University of Wisconsin–Madison
Doctoral advisor
John Jay Gergen
Charles Dunkl
Daniel Rider
Austrian-
American
mathematician
University of Wisconsin–Madison
harmonic analysis
mathematical analysis
Principles of Mathematical Analysis
C. L. E. Moore Instructor
Jewish
Austria
Institut auf dem Rosenberg
France
Anschluss
surrendered to Germany
Royal Navy
World War II

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