Knowledge (XXG)

Frederick Gehring

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where he worked until he retired at age 70. During this time he supervised 29 Ph.D. students, six of whom are women, as well as 40 postdoctoral visitors. He also served as chairman of the department on three separate occasions, serving for a total of eight years.
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and a music critic. His mother, Hester Reed Gehring, was a foreign language examiner for students who needed to prove competency as a requirement for their graduate degree. She was also the daughter of
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for three years after completing his doctoral work at the University of Cambridge. In 1955 he returned to Ann Arbor, MI, to assume a post on the faculty of the Department of Mathematics at the
270:. When the war ended a few months later, Gehring was discharged from the Navy and returned to the University of Michigan, where he obtained a master's degree in mathematics. 437: 627: 866: 357: 1075: 1070: 423: 399: 904: 301:. They married one year after returning to the US on August 25, 1953 and have two sons, Kalle (born 21 December 1958) and Peter (born 29 September 1960). 752: 534: 1100: 1095: 1034: 1065: 1105: 850: 231: 332: 243: 111: 227: 739:{\displaystyle {\begin{aligned}&\left(\int _{B}|f(x)|^{p+\varepsilon }\,dx\right)^{\frac {1}{p+\varepsilon }}\end{aligned}}} 875: 1037:
An Introduction to the Theory of Higher-Dimensional Mappings by Frederick W. Gehring, Gaven J. Martin, and Bruce P. Palka"
364: 339: 1110: 223:, a physics professor and Dean of the College of Literature, Science and the Arts at the University of Michigan. 199: 101: 274: 91: 318: 247: 211: 153: 282: 255: 521:{\displaystyle {\begin{aligned}&\left(\int _{B}|f(x)|^{p}\,dx\right)^{\frac {1}{p}}\end{aligned}}} 1090: 1085: 278: 165: 61: 612: 1013: 860: 314: 239: 149: 994: 846: 290: 984: 195: 160: 20: 254:
in addition to completing various other Navy courses. He finished his coursework close to
194:(7 August 1925 β€“ 29 May 2012) was an American mathematician who worked in the area of 935: 353: 310: 379:
In a 1973 paper which has been cited over 800 times, Gehring proved the following lemma:
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in mathematics in 1952 while Lois Bigger received her Ph.D. three months earlier in
836: 367: 298: 235: 179: 121: 905:"Frederick W. Gehring Obituary: View Frederick Gehring's Obituary by AnnArbor.com" 807:{\displaystyle {\begin{aligned}&\left(\int _{B}f(x)\,dx\right)\end{aligned}}} 589:{\displaystyle {\begin{aligned}&\left(\int _{B}f(x)\,dx\right)\end{aligned}}} 251: 139: 37: 998: 973:"The L-integrability of the partial derivatives of a quasiconformal mapping" 947: 267: 259: 842:
An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings
263: 175: 989: 972: 214:. His father, Carl Ernst Gehring, was a journalist who worked for the 335:, Commander class, Finland's highest scientific honor for foreigners. 840: 1018: 1012:
Maasalo, Outi Elina (2008). "The Gehring Lemma in Metric Spaces".
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Members of the United States National Academy of Sciences
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The Norwegian University of Science and Technology (NTNU)
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MAA Reviews, Mathematical Association of America (MAA)
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at the University of Michigan where he earned a BE in
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National Academy of Sciences, Bibliographical Memoirs
755: 644: 615: 537: 440: 411: 387: 876:"Frederick W. Gehring : A Biographical Memoir" 171: 159: 145: 135: 107: 97: 85: 69: 47: 28: 806: 738: 621: 588: 520: 417: 393: 210:Both of Fred Gehring's parents graduated from the 401:is a non–negative locally integrable function on 8: 865:: CS1 maint: multiple names: authors list ( 36: 25: 1017: 988: 788: 770: 756: 754: 713: 701: 689: 684: 666: 660: 645: 643: 614: 570: 552: 538: 536: 503: 491: 485: 480: 462: 456: 441: 439: 410: 386: 925:Steele Prize award for Frederick Gehring 896: 858: 238:, he was about to be drafted into the 19:For the American Catholic priest, see 232:Massachusetts Institute of Technology 7: 1076:21st-century American mathematicians 1071:20th-century American mathematicians 629:> 0 and there exists a constant c 333:Order of the White Rose of Finland 244:V-12 Navy College Training Program 112:Order of the White Rose of Finland 14: 936:The Mathematics Genealogy Project 845:. American Mathematical Society. 242:. So he instead enrolled in the 1033:Das, Tushar (January 22, 2018). 425:< ∞. If there is a constant c 230:in 1943 and hoped to attend the 1101:People from Ann Arbor, Michigan 1096:University of Michigan faculty 785: 779: 685: 680: 674: 667: 567: 561: 481: 476: 470: 463: 1: 1066:University of Michigan alumni 907:. Obits.mlive.com. 2012-05-29 839:, and Bruce P. Palka (2017). 365:American Mathematical Society 1106:Mathematicians from Michigan 622:{\displaystyle \varepsilon } 340:National Academy of Sciences 273:In 1949 Gehring went to the 277:to study mathematics under 1127: 18: 429:such that the inequality 370:for Lifetime Achievement. 192:Frederick William Gehring 185: 128: 80:Ann Arbor, Michigan, U.S. 35: 30:Frederick William Gehring 356:(dr. philos. h.c.) from 293:. Gehring received his 200:quasi-conformal mappings 102:Quasi-conformal mappings 971:Gehring, F. W. (1973). 275:University of Cambridge 234:. However, because of 226:Gehring graduated from 92:University of Cambridge 874:Martin, Gaven (2017), 835:Frederick W. Gehring, 808: 740: 623: 590: 522: 419: 395: 338:1989 – elected to the 319:University of Michigan 291:Fulbright scholarships 248:electrical engineering 228:University High School 212:University of Michigan 154:University of Michigan 89:University of Michigan 16:American mathematician 829:Selected publications 809: 741: 624: 591: 523: 420: 396: 374: 256:Victory in Europe Day 814:holds for all balls 753: 642: 613: 609:, then there exists 601:holds for all balls 535: 438: 409: 385: 309:Gehring served as a 279:John Charles Burkill 166:John Charles Burkill 363:2006 – awarded the 352:1997 – received an 345:1995 – awarded the 331:1986 – awarded the 62:Ann Arbor, Michigan 990:10.1007/BF02392268 948:"Honorary Doctors" 804: 802: 736: 734: 619: 586: 584: 518: 516: 415: 391: 315:Harvard University 240:United States Navy 150:Harvard University 852:978-0-8218-4360-4 729: 511: 418:{\displaystyle p} 394:{\displaystyle f} 326:Honors and awards 189: 188: 172:Doctoral students 130:Scientific career 42:Frederick Gehring 1118: 1111:Complex analysts 1050: 1047: 1030: 1024: 1023: 1021: 1009: 1003: 1002: 992: 977:Acta Mathematica 968: 962: 961: 959: 958: 944: 938: 933: 927: 922: 916: 915: 913: 912: 901: 886: 880: 870: 864: 856: 821: 817: 813: 811: 810: 805: 803: 799: 795: 775: 774: 759: 745: 743: 742: 737: 735: 731: 730: 728: 714: 712: 708: 700: 699: 688: 670: 665: 664: 648: 628: 626: 625: 620: 608: 604: 595: 593: 592: 587: 585: 581: 577: 557: 556: 541: 527: 525: 524: 519: 517: 513: 512: 504: 502: 498: 490: 489: 484: 466: 461: 460: 444: 424: 422: 421: 416: 404: 400: 398: 397: 392: 196:complex analysis 161:Doctoral advisor 76: 57: 55: 40: 26: 21:Frederic Gehring 1126: 1125: 1121: 1120: 1119: 1117: 1116: 1115: 1056: 1055: 1054: 1053: 1032: 1031: 1027: 1011: 1010: 1006: 970: 969: 965: 956: 954: 946: 945: 941: 934: 930: 923: 919: 910: 908: 903: 902: 898: 893: 885:, pp. 1–19 878: 873: 857: 853: 834: 831: 819: 815: 801: 800: 766: 765: 761: 751: 750: 749: 733: 732: 718: 683: 656: 655: 651: 650: 640: 639: 632: 611: 610: 606: 602: 583: 582: 548: 547: 543: 533: 532: 531: 515: 514: 479: 452: 451: 447: 446: 436: 435: 428: 407: 406: 402: 383: 382: 380: 377: 375:Gehring's Lemma 354:honorary degree 328: 311:Benjamin Peirce 307: 208: 178: 152: 120: 115: 90: 86:Alma mater 81: 78: 74: 65: 59: 53: 51: 43: 31: 24: 17: 12: 11: 5: 1124: 1122: 1114: 1113: 1108: 1103: 1098: 1093: 1088: 1083: 1078: 1073: 1068: 1058: 1057: 1052: 1051: 1025: 1004: 963: 939: 928: 917: 895: 894: 892: 889: 888: 887: 871: 851: 837:Gaven J Martin 830: 827: 826: 825: 824: 823: 798: 794: 791: 787: 784: 781: 778: 773: 769: 764: 760: 758: 747: 727: 724: 721: 717: 711: 707: 704: 698: 695: 692: 687: 682: 679: 676: 673: 669: 663: 659: 654: 649: 647: 630: 618: 599: 598: 597: 596: 580: 576: 573: 569: 566: 563: 560: 555: 551: 546: 542: 540: 529: 510: 507: 501: 497: 494: 488: 483: 478: 475: 472: 469: 465: 459: 455: 450: 445: 443: 426: 414: 390: 376: 373: 372: 371: 361: 350: 343: 336: 327: 324: 313:instructor at 306: 303: 287:Girton College 221:John Oren Reed 216:Ann Arbor News 207: 204: 187: 186: 183: 182: 173: 169: 168: 163: 157: 156: 147: 143: 142: 137: 133: 132: 126: 125: 109: 105: 104: 99: 98:Known for 95: 94: 87: 83: 82: 79: 77:(aged 86) 71: 67: 66: 60: 49: 45: 44: 41: 33: 32: 29: 15: 13: 10: 9: 6: 4: 3: 2: 1123: 1112: 1109: 1107: 1104: 1102: 1099: 1097: 1094: 1092: 1089: 1087: 1084: 1082: 1079: 1077: 1074: 1072: 1069: 1067: 1064: 1063: 1061: 1049: 1046: 1042: 1039: 1038: 1029: 1026: 1020: 1015: 1008: 1005: 1000: 996: 991: 986: 982: 978: 974: 967: 964: 953: 949: 943: 940: 937: 932: 929: 926: 921: 918: 906: 900: 897: 890: 884: 877: 872: 868: 862: 854: 848: 844: 843: 838: 833: 832: 828: 796: 792: 789: 782: 776: 771: 767: 762: 725: 722: 719: 715: 709: 705: 702: 696: 693: 690: 677: 671: 661: 657: 652: 638: 637: 636: 635: 634: 616: 578: 574: 571: 564: 558: 553: 549: 544: 508: 505: 499: 495: 492: 486: 473: 467: 457: 453: 448: 434: 433: 432: 431: 430: 412: 388: 369: 366: 362: 359: 355: 351: 348: 347:Onsager Medal 344: 341: 337: 334: 330: 329: 325: 323: 320: 316: 312: 304: 302: 300: 296: 292: 288: 284: 280: 276: 271: 269: 265: 261: 257: 253: 249: 245: 241: 237: 233: 229: 224: 222: 217: 213: 206:Personal life 205: 203: 201: 197: 193: 184: 181: 177: 174: 170: 167: 164: 162: 158: 155: 151: 148: 144: 141: 138: 134: 131: 127: 123: 118: 117:Onsager Medal 113: 110: 106: 103: 100: 96: 93: 88: 84: 72: 68: 63: 58:7 August 1925 50: 46: 39: 34: 27: 22: 1048: 1044: 1040: 1036: 1028: 1007: 980: 976: 966: 955:. Retrieved 952:www.ntnu.edu 951: 942: 931: 920: 909:. Retrieved 899: 882: 841: 600: 381:Assume that 378: 368:Steele Prize 308: 299:biochemistry 272: 250:and a BA in 236:World War II 225: 209: 191: 190: 180:Gaven Martin 146:Institutions 129: 122:Steele Prize 75:(2012-05-29) 1091:2012 deaths 1086:1925 births 1035:"review of 983:: 265–277. 405:and 1 < 252:mathematics 140:Mathematics 73:29 May 2012 1060:Categories 957:2018-08-30 911:2012-08-12 891:References 633:such that 283:Peterhouse 54:1925-08-07 1019:0704.3916 999:0001-5962 861:cite book 768:∫ 726:ε 697:ε 658:∫ 617:ε 550:∫ 454:∫ 268:Caribbean 260:destroyer 264:Atlantic 176:Kari Hag 262:in the 997:  849:  305:Career 136:Fields 124:(2006) 119:(1995) 114:(1986) 108:Awards 64:, U.S. 1014:arXiv 879:(PDF) 295:Ph.D. 995:ISSN 867:link 847:ISBN 266:and 70:Died 48:Born 985:doi 981:130 818:of 746:≀ c 605:of 528:≀ c 281:at 202:). 1062:: 1041:. 993:. 979:. 975:. 950:. 881:, 863:}} 859:{{ 1045:. 1022:. 1016:: 1001:. 987:: 960:. 914:. 869:) 855:. 822:. 820:R 816:B 797:) 793:x 790:d 786:) 783:x 780:( 777:f 772:B 763:( 748:2 723:+ 720:p 716:1 710:) 706:x 703:d 694:+ 691:p 686:| 681:) 678:x 675:( 672:f 668:| 662:B 653:( 631:2 607:R 603:B 579:) 575:x 572:d 568:) 565:x 562:( 559:f 554:B 545:( 530:1 509:p 506:1 500:) 496:x 493:d 487:p 482:| 477:) 474:x 471:( 468:f 464:| 458:B 449:( 427:1 413:p 403:R 389:f 360:. 349:. 342:. 198:( 56:) 52:( 23:.

Index

Frederic Gehring

Ann Arbor, Michigan
University of Cambridge
Quasi-conformal mappings
Order of the White Rose of Finland
Onsager Medal
Steele Prize
Mathematics
Harvard University
University of Michigan
Doctoral advisor
John Charles Burkill
Kari Hag
Gaven Martin
complex analysis
quasi-conformal mappings
University of Michigan
Ann Arbor News
John Oren Reed
University High School
Massachusetts Institute of Technology
World War II
United States Navy
V-12 Navy College Training Program
electrical engineering
mathematics
Victory in Europe Day
destroyer
Atlantic

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