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Ernst Kummer

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765: 733: 868: 331:. His second wife (whom he married soon after the death of Ottilie in 1848), Bertha Cauer, was a maternal cousin of Ottilie. Overall, he had 13 children. His daughter Marie married the mathematician 843: 833: 848: 838: 858: 828: 863: 813: 754: 700: 678: 489: 455: 561: 42: 818: 246: 556: 328: 169: 783: 343:
Kummer made several contributions to mathematics in different areas; he codified some of the relations between different
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In 1840, Kummer married Ottilie Mendelssohn, daughter of Nathan Mendelssohn and Henriette Itzig. Ottilie was a cousin of
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as understood later, though the term 'ideal' was invented by Kummer. He studied what were later called
803: 798: 541: 512: 173: 161: 745: 532: 390: 313: 275: 213: 114: 359:: it has 16 singular points, and its geometry was intensively studied in the nineteenth century). 335:. Kummer retired from teaching and from mathematics in 1890 and died three years later in Berlin. 688: 576: 410: 405:. This is a significant extension of the theory of quadratic extensions, and the genus theory of 284: 70: 749: 696: 674: 485: 451: 371: 324: 289: 769: 666: 647: 386: 198: 710: 499: 465: 318:
De cosinuum et sinuum potestatibus secundum cosinus et sinus arcuum multiplicium evolvendis
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De cosinuum et sinuum potestatibus secundum cosinus et sinus arcuum multiplicium evolvendis
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Mathematische Abhandlungen der Königlichen Akademie der Wissenschaften zu Berlin
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and his sister Rebecca Mendelssohn Bartholdy, the wife of the mathematician
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Collected papers. Volume II: Function theory, geometry and miscellaneous
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Corresponding members of the Saint Petersburg Academy of Sciences
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Collected papers. Volume 1: Contributions to Number Theory
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in 1831 for writing a prize-winning mathematical essay (
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results from taking the quotient of a two-dimensional
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Academic staff of the Humboldt University of Berlin
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Martin Luther University of Halle-Wittenberg alumni
209: 197: 179: 157: 147: 121: 110: 100: 77: 48: 32: 397:th root to a field already containing a primitive 366:for a considerable class of prime exponents (see 393:: that is, extensions generated by adjoining an 849:Academic staff of Technische UniversitĂ€t Berlin 622: 620: 270:(29 January 1810 – 14 May 1893) was a German 8: 839:Academic staff of the University of Breslau 721:, ed. C. Gillispie, NY: Scribners 1970–90. 282:; afterwards, he taught for 10 years in a 29: 859:Members of the French Academy of Sciences 651: 278:, Kummer trained German army officers in 374:). His methods were closer, perhaps, to 829:People from the Province of Brandenburg 755:MacTutor History of Mathematics Archive 599: 355:by the cyclic group {1, −1} (an early 416:Kummer further conducted research in 347:, known as contiguity relations. The 320:), which was published a year later. 7: 864:Foreign members of the Royal Society 589:– asteroid named after Ernst Kummer 814:19th-century German mathematicians 719:Dictionary of Scientific Biography 25: 562:Kummer's transformation of series 312:). He was awarded a PhD from the 731: 673:. New York: Simon and Schuster. 247:Hans Carl Friedrich von Mangoldt 40: 27:German mathematician (1810–1893) 653:10.1090/s0002-9904-1977-14343-7 766:Works by or about Ernst Kummer 329:Peter Gustav Lejeune Dirichlet 1: 784:Mathematics Genealogy Project 535:, on prime-power divisors of 472:Kummer, Ernst Eduard (1975), 438:Kummer, Ernst Eduard (1975), 885: 557:Kummer–Vandiver conjecture 775:Biography of Ernst Kummer 261: 140: 136:, and other contributions 39: 760:University of St Andrews 693:Kummer's Quartic Surface 634:Kummer, Collected Papers 819:German number theorists 422:William Rowan Hamilton 640:Bull. Amer. Math. Soc 537:binomial coefficients 364:Fermat's Last Theorem 345:hypergeometric series 166:University of Breslau 746:Robertson, Edmund F. 740:at Wikimedia Commons 691:(11 October 1990) . 513:Kummer configuration 480:, Berlin, New York: 446:, Berlin, New York: 174:Lomonosov University 162:University of Berlin 744:O'Connor, John J.; 717:"Ernst Kummer," in 689:Hudson, R. W. H. T. 669:(15 October 1986). 518:Kummer's congruence 362:Kummer also proved 314:University of Halle 300:Kummer was born in 276:applied mathematics 268:Ernst Eduard Kummer 214:Gotthold Eisenstein 115:University of Halle 53:Ernst Eduard Kummer 854:Mendelssohn family 671:Men of Mathematics 577:Reflection theorem 420:and, jointly with 411:class field theory 736:Media related to 702:978-0-521-39790-2 680:978-0-671-62818-5 667:Bell, Eric Temple 542:Kummer's function 491:978-3-540-06836-5 457:978-0-387-06835-0 424:he investigated 387:Kummer extensions 372:ideal class group 325:Felix Mendelssohn 290:Leopold Kronecker 265: 264: 210:Doctoral students 142:Scientific career 16:(Redirected from 876: 824:German Lutherans 809:People from Ć»ary 770:Internet Archive 762: 735: 714: 684: 658: 657: 655: 624: 615: 604: 582:Principalization 533:Kummer's theorem 502: 468: 249: 199:Doctoral advisor 193: 126:Bessel functions 84: 62: 60: 44: 30: 21: 884: 883: 879: 878: 877: 875: 874: 873: 789: 788: 743: 728: 703: 687: 681: 665: 662: 661: 626: 625: 618: 605: 601: 596: 509: 492: 482:Springer-Verlag 471: 458: 448:Springer-Verlag 437: 434: 407:quadratic forms 353:abelian variety 341: 333:Hermann Schwarz 298: 254: 250: 245: 244: 240: 238:Hermann Schwarz 236: 232: 228: 226:Wilhelm Killing 224: 220: 218:Georg Frobenius 216: 204:Heinrich Scherk 191: 172: 170:Gewerbeinstitut 168: 164: 111:Alma mater 96: 86: 82: 73: 64: 63:29 January 1810 58: 56: 55: 54: 35: 28: 23: 22: 15: 12: 11: 5: 882: 880: 872: 871: 866: 861: 856: 851: 846: 841: 836: 831: 826: 821: 816: 811: 806: 801: 791: 790: 787: 786: 777: 772: 763: 750:"Ernst Kummer" 741: 727: 726:External links 724: 723: 722: 715: 701: 685: 679: 660: 659: 646:(5): 976–988. 616: 606:E. E. Kummer: 598: 597: 595: 592: 591: 590: 584: 579: 574: 569: 564: 559: 554: 552:Kummer variety 549: 544: 539: 530: 525: 520: 515: 508: 505: 504: 503: 490: 469: 456: 433: 430: 349:Kummer surface 340: 337: 308:(then part of 297: 294: 263: 262: 259: 258: 256:Friedrich Prym 211: 207: 206: 201: 195: 194: 183: 177: 176: 159: 155: 154: 149: 145: 144: 138: 137: 134:Kummer surface 123: 122:Known for 119: 118: 112: 108: 107: 102: 98: 97: 87: 85:(aged 83) 79: 75: 74: 65: 52: 50: 46: 45: 37: 36: 33: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 881: 870: 867: 865: 862: 860: 857: 855: 852: 850: 847: 845: 842: 840: 837: 835: 832: 830: 827: 825: 822: 820: 817: 815: 812: 810: 807: 805: 802: 800: 797: 796: 794: 785: 781: 778: 776: 773: 771: 767: 764: 761: 757: 756: 751: 747: 742: 739: 734: 730: 729: 725: 720: 716: 712: 708: 704: 698: 694: 690: 686: 682: 676: 672: 668: 664: 663: 654: 649: 645: 641: 637: 635: 629: 623: 621: 617: 613: 609: 603: 600: 593: 588: 585: 583: 580: 578: 575: 573: 572:Regular prime 570: 568: 565: 563: 560: 558: 555: 553: 550: 548: 545: 543: 540: 538: 534: 531: 529: 528:Kummer theory 526: 524: 523:Kummer series 521: 519: 516: 514: 511: 510: 506: 501: 497: 493: 487: 483: 479: 475: 470: 467: 463: 459: 453: 449: 445: 441: 436: 435: 431: 429: 427: 423: 419: 414: 412: 408: 404: 403:root of unity 400: 396: 392: 388: 384: 381:ones than to 380: 378: 373: 369: 368:regular prime 365: 360: 358: 354: 350: 346: 338: 336: 334: 330: 326: 321: 319: 315: 311: 307: 303: 295: 293: 291: 287: 286: 281: 277: 274:. Skilled in 273: 272:mathematician 269: 260: 257: 253: 248: 243: 239: 235: 234:Franz Mertens 231: 227: 223: 222:Lazarus Fuchs 219: 215: 212: 208: 205: 202: 200: 196: 189: 188: 184: 182: 178: 175: 171: 167: 163: 160: 156: 153: 150: 146: 143: 139: 135: 131: 130:Kummer theory 127: 124: 120: 117:(Ph.D., 1831) 116: 113: 109: 106: 103: 99: 95: 91: 80: 76: 72: 68: 51: 47: 43: 38: 31: 19: 18:Eduard Kummer 780:Ernst Kummer 753: 738:Ernst Kummer 718: 692: 670: 643: 639: 633: 628:Mazur, Barry 611: 607: 602: 587:25628 Kummer 567:Ideal number 477: 443: 432:Publications 415: 398: 394: 383:ideal theory 376: 361: 342: 322: 317: 299: 283: 267: 266: 242:Georg Cantor 230:Adolf Kneser 185: 158:Institutions 141: 83:(1893-05-14) 34:Ernst Kummer 804:1893 deaths 799:1810 births 474:Weil, AndrĂ© 440:Weil, AndrĂ© 426:ray systems 339:Mathematics 306:Brandenburg 252:Adolf Piltz 192:(1831/1832) 152:Mathematics 101:Nationality 90:Brandenburg 81:14 May 1893 793:Categories 594:References 547:Kummer sum 418:ballistics 280:ballistics 59:1810-01-29 632:"Review: 285:gymnasium 630:(1977). 507:See also 357:orbifold 105:Prussian 88:Berlin, 782:at the 768:at the 711:1097176 500:0465761 476:(ed.), 466:0465760 442:(ed.), 310:Prussia 94:Germany 71:Prussia 709:  699:  677:  614:, 1875 610:, In: 498:  488:  464:  454:  391:fields 190:  181:Thesis 148:Fields 379:-adic 302:Sorau 67:Sorau 697:ISBN 675:ISBN 486:ISBN 452:ISBN 296:Life 78:Died 49:Born 648:doi 401:th 389:of 795:: 758:, 752:, 748:, 707:MR 705:. 644:83 642:. 638:. 619:^ 496:MR 494:, 484:, 462:MR 460:, 450:, 428:. 413:. 370:, 304:, 292:. 132:, 128:, 92:, 69:, 713:. 683:. 656:. 650:: 636:" 399:n 395:n 377:p 61:) 57:( 20:)

Index

Eduard Kummer

Sorau
Prussia
Brandenburg
Germany
Prussian
University of Halle
Bessel functions
Kummer theory
Kummer surface
Mathematics
University of Berlin
University of Breslau
Gewerbeinstitut
Lomonosov University
Thesis
De cosinuum et sinuum potestatibus secundum cosinus et sinus arcuum multiplicium evolvendis
Doctoral advisor
Heinrich Scherk
Gotthold Eisenstein
Georg Frobenius
Lazarus Fuchs
Wilhelm Killing
Adolf Kneser
Franz Mertens
Hermann Schwarz
Georg Cantor
Hans Carl Friedrich von Mangoldt
Adolf Piltz

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