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John Edward Campbell

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from 1918 to 1920. He was tutor to the future literary scholar C. S. Lewis in 1917, assisting Lewis with Responsions in mathematics as part of the entrance requirements for Oxford University/. Campbell was the first mathematician from Oxford who was invited, shortly before his death, by the
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as a Second Lieutenant in the 3rd Battalion (attached 2nd Battalion) starting from October 1914 and was killed in action only a few weeks later. He was the uncle of Air Chief Marshal Sir Donald Hardman.
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in 1887, obtained a Senior Scholarship in 1888, and eventually became a tutor. Campbell was noted as a charming and highly devoted teacher and a proponent of women's education.
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Campbell married Sarah Hardman (born in Oldham ca. 1862) in the Ashton Registration District in the late 1889. They had three sons and one daughter, all born in Oxford:
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Campbell made his most notable contribution to mathematics in 1897 by introducing a formula for multiplication of exponentials in
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William enrolled into the Oxford College in October 1913 but went to the World War I fronts the next year. He fought with the
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Campbell was born in a family of a doctor, also named John Campbell. He studied first at the
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Introductory Treatise on Lie's Theory of Finite Continuous Transformation Groups
167:. There he won the Junior Mathematical University Scholarship in 1885, became a 499: 414:(1) 34 (1902) 347–360; ibid (1) 35 (1903) 333–374; ibid (Ser 2) 3 (1905) 24–47. 312: 707: 692: 687: 573: 206: 450:
Introductory Treatise on Lie's Theory of Continuous Transformation Groups
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Introductory treatise on Lie's theory of continuous transformation groups
175: 202: 139:, England) was a mathematician, best known for his contribution to the 32: 467: 132: 53: 568: 159:, graduating in 1884. He then won a scholarship to study at the 426:, "Die symbolische Exponentialformel in der Gruppentheorie", 246:
Dorothea Mary Hardman Campbell (28 December 1902 – ?).
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William Percy Campbell (2 May 1894 – 24 October 1914)
186:(1902). It was later systematised geometrically by 705: 498: 305:Proceedings of the London Mathematical Society 554: 739:People educated at Methodist College Belfast 442: 243:Patrick James Campbell (22 December 1897 – ) 561: 547: 526: 475: 417: 209:in 1905, and served as president of the 178:. This formula was later elaborated by 706: 657:Robert John Strutt, 4th Baron Rayleigh 197:In 1903, Campbell published a book on 542: 378:(1897) 381–390; ibid 29 (1898) 14–32. 355: 353: 333: 331: 329: 734:Alumni of Queen's University Belfast 298: 724:Fellows of Hertford College, Oxford 13: 350: 338:William Percy CAMPBELL (1894–1914) 326: 201:where he popularised the ideas of 14: 765: 749:20th-century Irish mathematicians 744:19th-century Irish mathematicians 506:A Course of Differential Geometry 428:Ber Verh Saechs Akad Wiss Leipzig 277:A course of differential geometry 205:. He was elected a Fellow of the 280:. Oxford: Clarendon Press. 1924. 270:. Oxford: Clarendon Press. 1903. 225: 90:Baker–Campbell–Hausdorff formula 31: 652:George Frederick Charles Searle 528:10.1090/s0002-9904-1927-04432-9 16:Irish mathematician (1862–1924) 492: 436: 401: 381: 365: 362:. www-history.mcs.st-and.ac.uk 292: 1: 627:Sir Frederick Gowland Hopkins 285: 235:John Maurice Hardman Campbell 220:Cambridge Mathematical Tripos 729:Fellows of the Royal Society 347:. St Margaret's War Memorial 146: 135:, Ireland – 1 October 1924, 7: 662:Sir Edmund Taylor Whittaker 211:London Mathematical Society 190:(1906) and became known as 101:Fellow of the Royal Society 10: 770: 157:Queen's University Belfast 670: 617:Sir Martin Onslow Forster 584: 392:Compt Rend Acad Sci Paris 122: 114: 107: 96: 80: 61: 39: 30: 23: 313:10.1112/plms/s2-23.1.1-w 258: 192:Baker-Campbell-Hausdorff 141:Baker-Campbell-Hausdorff 754:Scientists from Belfast 637:Ernest William MacBride 632:George William Lamplugh 612:Sir Arthur Mostyn Field 477:2027/coo.31924059156061 299:h. h (1 January 1925). 155:in Belfast and then at 683:Hendrik Antoon Lorentz 622:Edwin Stephen Goodrich 394:128 (1899) 1065–1069; 301:"John Edward Campbell" 515:Bull. Amer. Math. Soc 184:Henry Frederick Baker 602:John Edward Campbell 508:, by J. E. Campbell" 446:(17 November 1904). 360:John Edward Campbell 307:. s2-23: lxx–lxxiv. 216:Cambridge University 129:John Edward Campbell 25:John Edward Campbell 642:Francis Wall Oliver 607:William Henry Dines 597:William Arthur Bone 343:2 July 2011 at the 137:Oxford, Oxfordshire 73:Oxford, Oxfordshire 412:Proc Lond Math Soc 398:18 (1899) 220–255. 373:Proc Lond Math Soc 252:Wiltshire Regiment 85:Campbell's theorem 701: 700: 592:John George Adami 396:Camb Philos Trans 161:Oxford University 153:Methodist College 126: 125: 109:Scientific career 761: 563: 556: 549: 540: 539: 533: 532: 530: 512: 496: 490: 489: 479: 468:10.1038/071049a0 440: 434: 421: 415: 405: 399: 385: 379: 369: 363: 357: 348: 335: 324: 323: 321: 319: 296: 281: 271: 165:Hertford College 92: 68: 49: 47: 35: 21: 20: 769: 768: 764: 763: 762: 760: 759: 758: 704: 703: 702: 697: 678:Ludimar Hermann 666: 647:Sir David Prain 580: 567: 537: 536: 510: 500:Stouffer, E. B. 497: 493: 462:(1829): 49–50. 441: 437: 422: 418: 406: 402: 386: 382: 370: 366: 358: 351: 345:Wayback Machine 336: 327: 317: 315: 297: 293: 288: 274: 264: 261: 228: 218:to examine the 188:Felix Hausdorff 149: 88: 87: 76: 70: 66: 57: 51: 45: 43: 26: 17: 12: 11: 5: 767: 757: 756: 751: 746: 741: 736: 731: 726: 721: 716: 699: 698: 696: 695: 690: 685: 680: 674: 672: 668: 667: 665: 664: 659: 654: 649: 644: 639: 634: 629: 624: 619: 614: 609: 604: 599: 594: 588: 586: 582: 581: 566: 565: 558: 551: 543: 535: 534: 521:(5): 625–626. 491: 435: 416: 400: 380: 364: 349: 325: 290: 289: 287: 284: 283: 282: 272: 260: 257: 248: 247: 244: 241: 238: 227: 224: 180:Henri PoincarĂ© 169:College Fellow 148: 145: 131:(27 May 1862, 124: 123: 120: 119: 116: 112: 111: 105: 104: 98: 94: 93: 82: 81:Known for 78: 77: 71: 69:(aged 62) 65:1 October 1924 63: 59: 58: 52: 41: 37: 36: 28: 27: 24: 15: 9: 6: 4: 3: 2: 766: 755: 752: 750: 747: 745: 742: 740: 737: 735: 732: 730: 727: 725: 722: 720: 717: 715: 712: 711: 709: 694: 693:Hugo De Vries 691: 689: 688:Henri Moissan 686: 684: 681: 679: 676: 675: 673: 669: 663: 660: 658: 655: 653: 650: 648: 645: 643: 640: 638: 635: 633: 630: 628: 625: 623: 620: 618: 615: 613: 610: 608: 605: 603: 600: 598: 595: 593: 590: 589: 587: 583: 579: 575: 574:Royal Society 571: 564: 559: 557: 552: 550: 545: 544: 541: 529: 524: 520: 516: 509: 507: 501: 495: 487: 483: 478: 473: 469: 465: 461: 457: 453: 451: 445: 439: 433:(1906) 19–48. 432: 429: 425: 420: 413: 409: 404: 397: 393: 389: 384: 377: 374: 371:J. Campbell, 368: 361: 356: 354: 346: 342: 339: 334: 332: 330: 314: 310: 306: 302: 295: 291: 279: 278: 273: 269: 268: 263: 262: 256: 253: 245: 242: 239: 236: 233: 232: 231: 226:Personal life 223: 221: 217: 212: 208: 207:Royal Society 204: 200: 195: 193: 189: 185: 181: 177: 172: 170: 166: 162: 158: 154: 144: 142: 138: 134: 130: 121: 117: 113: 110: 106: 102: 99: 95: 91: 86: 83: 79: 74: 64: 60: 55: 42: 38: 34: 29: 22: 19: 601: 518: 514: 505: 494: 459: 455: 449: 444:Baker, H. F. 438: 430: 427: 424:F. Hausdorff 419: 411: 403: 395: 391: 383: 375: 372: 367: 316:. Retrieved 304: 294: 276: 266: 249: 229: 198: 196: 176:Lie algebras 173: 150: 128: 127: 108: 67:(1924-10-01) 18: 719:1924 deaths 714:1862 births 388:H. PoincarĂ© 237:(1891–1973) 182:(1899) and 118:Mathematics 50:27 May 1862 708:Categories 286:References 203:Sophus Lie 46:1862-05-27 504:"Review: 448:"Review: 194:formula. 147:Biography 143:formula. 75:, England 56:, Ireland 576:elected 502:(1927). 408:H. Baker 341:Archived 318:4 August 671:Foreign 585:Fellows 578:in 1905 572:of the 570:Fellows 486:4030417 133:Lisburn 54:Lisburn 484:  456:Nature 115:Fields 103:(1905) 97:Awards 511:(PDF) 482:S2CID 259:Books 163:, at 320:2016 62:Died 40:Born 523:doi 472:hdl 464:doi 309:doi 710:: 519:33 517:. 513:. 480:. 470:. 460:71 458:. 454:. 431:58 410:, 390:, 376:28 352:^ 328:^ 303:. 222:. 562:e 555:t 548:v 531:. 525:: 488:. 474:: 466:: 452:" 322:. 311:: 48:) 44:(

Index


Lisburn
Oxford, Oxfordshire
Campbell's theorem
Baker–Campbell–Hausdorff formula
Fellow of the Royal Society
Lisburn
Oxford, Oxfordshire
Baker-Campbell-Hausdorff
Methodist College
Queen's University Belfast
Oxford University
Hertford College
College Fellow
Lie algebras
Henri Poincaré
Henry Frederick Baker
Felix Hausdorff
Baker-Campbell-Hausdorff
Sophus Lie
Royal Society
London Mathematical Society
Cambridge University
Cambridge Mathematical Tripos
John Maurice Hardman Campbell
Wiltshire Regiment
Introductory treatise on Lie's theory of continuous transformation groups
A course of differential geometry
"John Edward Campbell"
doi

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