Knowledge (XXG)

Edward Routh

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468:. Though Airy did not succeed, at Greenwich Routh met Airy's eldest daughter Hilda (1840–1916) whom he married in 1864. At the time, the university had a celibacy requirement, forcing Routh to vacate his fellowship and move out of Peterhouse. On the reformation of the college statutes, removing the celibacy requirement, Routh was the first person elected to an honorary fellowship by Peterhouse. The couple had five sons and a daughter. Routh was a "kindly man and a good conversationalist with friends, but with strangers he was shy and reserved." 1160: 442:
Routh worked conscientiously and systematically, taking rigidly timetabled classes of ten pupils during the day and spending the evenings preparing extra material for the ablest men. "His lectures were enlivened by mathematical jokes of a rather heavy kind."
341:(1782–1858) and his second wife, Marie Louise Taschereau (1810–1891). Sir Randolph was Commissary General of the British Army 1826, Chairman of the Irish Famine Relief Commission (1845–48) and Deputy Commissary General, the senior Commissariat officer at the 47: 430:
during the latter's fatal illness, though insisting that Steele take the fees. Routh inherited Steele's pupils, going on to establish an unbeaten record as a coach. He coached over 600 pupils between 1855 and 1888, 28 of them making
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Routh was a staunch defender of the Cambridge competitive system and despaired when the university started to publish examination results in alphabetical order, observing "They will want to run
337:, Yorkshire. His mother's family, the Taschereau family, was well-established in Quebec, tracing their ancestry back to the early days of the French colony. His parents were Sir 1229: 559:). Such coordinates are associated with conserved momenta and as such are useful in problem solving. Routh also devised a new method for solving problems in mechanics. Although 563:
does not add any new insights, it allows for more systematic and convenient analysis, especially in problems with many degrees of freedom and at least some cyclic coordinates.
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The Elementary Part of a Treatise on the Dynamics of a System of Rigid Bodies: Being Part I of a Treatise on the Whole Subject. With Numerous Examples
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The Advanced Part of a Treatise on the Dynamics of a System of Rigid Bodies: Being Part II of a Treatise on the Whole Subject. With Numerous Examples
1204: 763: 1219: 927: 288:; 20 January 1831 – 7 June 1907) was an English mathematician, noted as the outstanding coach of students preparing for the 902: 346: 1144: 977: 952: 529: 826: 350: 330: 232: 866: 538: 357: 730: 289: 139: 465: 477: 264: 36: 1239: 1214: 368: 576: 296:
in its heyday in the middle of the nineteenth century. He also did much to systematise the mathematical theory of
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In addition to his intensive work in teaching and writing, which had a persistent effect on the presentation of
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On graduation, Routh took up work as a private mathematics tutor in Cambridge and took on the pupils of
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Routh noted the importance of what he called "absent coordinates," also known as cyclic coordinates or
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Goldstein, Herbert (1980). "8.3: Routh's Procedure and Oscillations About Steady Motion".
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Reprinted in 'Stability of Motion' (ed. A.T.Fuller) London 1975 (Taylor & Francis).
583: 383: 301: 1173: 1132: 1093: 781: 248: 240: 236: 590:(though nowadays due to modern computers it is not as important), an application of 595: 322: 972:. Translated by Sykes, J.B.; Bell, J.S. (3rd ed.). Elsevier. pp. 133–4. 843: 1121: 528:. In fact, Klein arranged the German translation. It also did much to influence 521: 483: 447: 174: 835: 1114: 658: 636: 726: 1002: 517: 297: 93: 46: 785: 509: 334: 143: 796:. Vol. 23 (11th ed.). Cambridge University Press. p. 780. 1085: 415: 375:, whose influence led to Routh to decide on a career in mathematics. 318: 74: 1077: 317:
Routh was born of an English father and a French-Canadian mother in
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Masters of Theory: Cambridge and the Rise of Mathematical Physics
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A Treatise on Analytical Statics with Numerous Examples Volume II
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A Treatise on Analytical Statics with Numerous Examples Volume I
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and created several ideas critical to the development of modern
277: 1124:(1970–1990) "Routh, Edward John", in Gillispie, C. C. (ed.) 1006:, 8 June 1907 (available at O'Connor & Robertson (2003)) 638:
A Treatise on Dynamics of a Particle. With Numerous Examples
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Landau, Lev; Lifshitz, Evgeny (1976). "41: The Routhian".
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in 1847, having won a scholarship. There he studied under
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Treatise on the Stability of a Given State of Motion
575:, he also contributed original research such as the 274: 228: 210: 196: 188: 165: 123: 109: 101: 82: 56: 30: 886: 435:, as to Hopkins' 17 with 43 of his pupils winning 1043:Monthly Notices of the Royal Astronomical Society 970:Course of Theoretical Physics Volume 1: Mechanics 556:Analytical Dynamics of Particles and Rigid Bodies 615:Analytical View of Sir Isaac Newton's Principia 506:Analytical View of Sir Isaac Newton's Principia 363:Routh came to England aged eleven and attended 1010:Proceedings of the London Mathematical Society 16:19th-century English mathematician and teacher 1072:(234). The Mathematical Association: 162–79. 947:(2nd ed.). Addison-Wesley. p. 356. 618:. London: Longman, Brown, Green and Longmans. 345:, and Marie Louise was the daughter of Judge 8: 1230:People educated at University College School 830:(online ed.). Oxford University Press. 612:Brougham, Henry; Routh, Edward John (1855). 1101:Fuller, A. T. (1977). "Edward John Routh". 748: 746: 744: 742: 740: 738: 45: 27: 880: 878: 1064:(1935). "Old tripos days at Cambridge". 641:. Cambridge: Cambridge University Press. 920:The Variational Principles of Mechanics 893:. University of Chicago Press. p.  827:Oxford Dictionary of National Biography 764:MacTutor History of Mathematics Archive 696: 398:. While at Peterhouse, Routh rowed for 394:and coached by "senior wrangler maker" 819: 817: 815: 813: 811: 809: 807: 805: 803: 704: 702: 700: 464:sought to entice Routh to work at the 402:. In 1854, Routh graduated just above 321:, at that time the British colony of 7: 1128:, New York: Charles Screibner's Sons 861:. Peterhouse Boat Club. p. 10. 514:Dynamics of a System of Rigid Bodies 1210:Alumni of University College London 1195:20th-century English mathematicians 1190:19th-century English mathematicians 922:. Dover Publications. p. 125. 1126:Dictionary of Scientific Biography 14: 1225:Fellows of Peterhouse, Cambridge 1103:International Journal of Control 885:Warwick, Andrew (13 June 2003). 663:. London: Macmillan and Co. Ltd. 270: 1205:Alumni of Peterhouse, Cambridge 1161:Works by or about Edward Routh 1139:. Arno Press. pp. 34–63. 859:Peterhouse Boat Club 1828-1978 710:"Routh, Edward John (RT850EJ)" 549:(following the terminology of 539:Treatise on Natural Philosophy 386:(1853) in London. He attended 1: 1137:Recollections and Reflections 731:Mathematics Genealogy Project 685:. Cambridge University Press. 674:. Cambridge University Press. 51:Edward John Routh (1831–1907) 1220:Fellows of the Royal Society 844:UK public library membership 466:Royal Observatory, Greenwich 414:with him. Routh was elected 918:Lanczos, Cornelius (1970). 714:A Cambridge Alumni Database 478:Fellow of the Royal Society 358:ElzĂ©ar-Alexandre Taschereau 1256: 787:"Routh, Edward John"  716:. University of Cambridge. 369:University College, London 18: 1115:10.1080/00207177708922300 588:Routh stability criterion 582:Central tenets of modern 390:, where he was taught by 365:University College School 329:when it acquired land at 254: 181: 136:Routh stability criterion 114:University College London 44: 769:University of St Andrews 500:Routh collaborated with 349:and the sister of Judge 160:Kirchhoff–Routh function 19:Not to be confused with 1034:, 13 June 1907, 480–81; 793:Encyclopædia Britannica 598:through the use of the 508:(1855). He published a 418:of Peterhouse in 1856. 294:University of Cambridge 857:Mayer, Roland (1978). 836:10.1093/ref:odnb/35850 824:"Routh, Edward John". 584:control systems theory 450:alphabetically next". 347:Jean-Thomas Taschereau 302:control systems theory 245:Alfred North Whitehead 233:John Strutt (Rayleigh) 623:Routh, E. J. (1877). 577:Routh–Hurwitz theorem 567:Stability and control 547:ignorable coordinates 388:Peterhouse, Cambridge 205:Peterhouse, Cambridge 132:Routh–Hurwitz theorem 118:Peterhouse, Cambridge 1066:Mathematical Gazette 755:Robertson, Edmund F. 573:mathematical physics 400:Peterhouse Boat Club 339:Randolph Isham Routh 201:University of London 945:Classical Mechanics 753:O'Connor, John J.; 600:Euclidean algorithm 462:George Biddell Airy 428:William John Steele 404:James Clerk Maxwell 378:Routh obtained his 292:examination of the 290:Mathematical Tripos 534:Peter Guthrie Tait 520:. This influenced 373:Augustus De Morgan 343:Battle of Waterloo 219:Augustus De Morgan 1240:Taschereau family 1215:Control theorists 1050:(1907–08), 239–41 929:978-0-486-65067-8 842:(Subscription or 561:Routh's procedure 526:Arnold Sommerfeld 422:Mathematics tutor 367:and then entered 261:Edward John Routh 258: 257: 211:Academic advisors 183:Scientific career 156:Routh's algorithm 152:Routh polynomials 61:Edward John Routh 1247: 1235:Senior Wranglers 1165:Internet Archive 1150: 1118: 1097: 1032:Cambridge Review 984: 983: 965: 959: 958: 940: 934: 933: 915: 909: 908: 892: 882: 873: 872: 854: 848: 847: 839: 821: 798: 797: 789: 778: 772: 771: 750: 733: 724: 718: 717: 706: 686: 675: 664: 653: 642: 630: 619: 586:relied upon the 459:Astronomer Royal 287: 286: 283: 282: 279: 276: 267: 229:Notable students 89: 70: 68: 49: 39: 28: 1255: 1254: 1250: 1249: 1248: 1246: 1245: 1244: 1170: 1169: 1157: 1147: 1131: 1100: 1078:10.2307/3605871 1060: 1057: 1028:(1907), 200–02; 1016:(1907), xiv–xx; 998: 993: 991:Further reading 988: 987: 980: 967: 966: 962: 955: 942: 941: 937: 930: 917: 916: 912: 905: 884: 883: 876: 869: 856: 855: 851: 841: 823: 822: 801: 780: 779: 775: 752: 751: 736: 725: 721: 708: 707: 698: 693: 678: 667: 656: 645: 634: 622: 611: 608: 592:Sturm's theorem 569: 551:E. T. Whittaker 530:William Thomson 498: 493: 474: 456: 433:Senior wrangler 424: 408:Senior Wrangler 396:William Hopkins 392:Isaac Todhunter 327:Norman conquest 315: 310: 273: 269: 263: 247: 243: 239: 235: 223:Isaac Todhunter 221: 217: 215:William Hopkins 203: 173: 158: 154: 150: 148:Routh's theorem 146: 142: 138: 134: 130: 116: 110:Alma mater 97: 91: 87: 78: 72: 71:20 January 1831 66: 64: 63: 62: 52: 40: 35: 33: 24: 21:Eddie Ray Routh 17: 12: 11: 5: 1253: 1251: 1243: 1242: 1237: 1232: 1227: 1222: 1217: 1212: 1207: 1202: 1197: 1192: 1187: 1182: 1172: 1171: 1168: 1167: 1156: 1155:External links 1153: 1152: 1151: 1145: 1133:Thomson, J. J. 1129: 1122:Sneddon, I. N. 1119: 1098: 1062:Forsyth, A. R. 1056: 1053: 1052: 1051: 1035: 1029: 1017: 1007: 997: 994: 992: 989: 986: 985: 978: 960: 953: 935: 928: 910: 904:978-0226873749 903: 874: 867: 849: 799: 784:, ed. (1911). 782:Chisholm, Hugh 773: 759:"Edward Routh" 734: 719: 695: 694: 692: 689: 688: 687: 676: 665: 654: 643: 632: 620: 607: 604: 596:Cauchy indices 568: 565: 502:Henry Brougham 497: 494: 492: 489: 488: 487: 481: 473: 470: 455: 452: 423: 420: 410:, sharing the 314: 311: 309: 306: 256: 255: 252: 251: 230: 226: 225: 212: 208: 207: 198: 194: 193: 190: 186: 185: 179: 178: 167: 163: 162: 125: 124:Known for 121: 120: 111: 107: 106: 103: 99: 98: 92: 90:(aged 76) 84: 80: 79: 73: 60: 58: 54: 53: 50: 42: 41: 34: 31: 15: 13: 10: 9: 6: 4: 3: 2: 1252: 1241: 1238: 1236: 1233: 1231: 1228: 1226: 1223: 1221: 1218: 1216: 1213: 1211: 1208: 1206: 1203: 1201: 1198: 1196: 1193: 1191: 1188: 1186: 1183: 1181: 1178: 1177: 1175: 1166: 1162: 1159: 1158: 1154: 1148: 1146:0-405-06622-8 1142: 1138: 1134: 1130: 1127: 1123: 1120: 1116: 1112: 1109:(2): 169–73. 1108: 1104: 1099: 1095: 1091: 1087: 1083: 1079: 1075: 1071: 1067: 1063: 1059: 1058: 1054: 1049: 1045: 1044: 1039: 1036: 1033: 1030: 1027: 1023: 1022: 1018: 1015: 1011: 1008: 1005: 1004: 1000: 999: 995: 990: 981: 979:0-7506-2896-0 975: 971: 964: 961: 956: 954:0-201-02918-9 950: 946: 939: 936: 931: 925: 921: 914: 911: 906: 900: 896: 891: 890: 881: 879: 875: 870: 864: 860: 853: 850: 845: 837: 833: 829: 828: 820: 818: 816: 814: 812: 810: 808: 806: 804: 800: 795: 794: 788: 783: 777: 774: 770: 766: 765: 760: 756: 749: 747: 745: 743: 741: 739: 735: 732: 728: 723: 720: 715: 711: 705: 703: 701: 697: 690: 684: 683: 677: 673: 672: 666: 662: 661: 655: 651: 650: 644: 640: 639: 633: 628: 627: 621: 617: 616: 610: 609: 605: 603: 601: 597: 593: 589: 585: 580: 578: 574: 566: 564: 562: 558: 557: 552: 548: 543: 541: 540: 535: 531: 527: 523: 519: 515: 511: 507: 503: 495: 490: 485: 482: 479: 476: 475: 471: 469: 467: 463: 460: 453: 451: 449: 444: 440: 438: 437:Smith's Prize 434: 429: 421: 419: 417: 413: 412:Smith's prize 409: 405: 401: 397: 393: 389: 385: 381: 376: 374: 370: 366: 361: 359: 356: 352: 348: 344: 340: 336: 332: 328: 324: 320: 312: 307: 305: 303: 299: 295: 291: 285: 266: 262: 253: 250: 249:Joseph Larmor 246: 242: 241:George Darwin 238: 237:J. J. Thomson 234: 231: 227: 224: 220: 216: 213: 209: 206: 202: 199: 195: 192:Mathematician 191: 187: 184: 180: 176: 171: 170:Smith's Prize 168: 164: 161: 157: 153: 149: 145: 141: 137: 133: 129: 126: 122: 119: 115: 112: 108: 104: 100: 95: 85: 81: 76: 59: 55: 48: 43: 38: 29: 26: 22: 1136: 1125: 1106: 1102: 1069: 1065: 1047: 1041: 1031: 1025: 1019: 1013: 1012:, 2nd ser., 1009: 1001: 969: 963: 944: 938: 919: 913: 888: 858: 852: 825: 791: 776: 762: 727:Edward Routh 722: 713: 681: 670: 659: 648: 637: 629:. MacMillan. 625: 614: 606:Bibliography 594:to evaluate 581: 570: 554: 544: 537: 513: 505: 499: 457: 454:Private life 445: 441: 425: 377: 362: 323:Lower Canada 316: 260: 259: 197:Institutions 182: 128:Routh's rule 88:(1907-06-07) 32:Edward Routh 25: 1200:Airy family 1185:1907 deaths 1180:1831 births 1055:About Routh 679:— (1909b). 668:— (1909a). 522:Felix Klein 484:Adams Prize 382:(1849) and 351:Jean-Thomas 175:Adams Prize 140:Routh array 102:Nationality 86:7 June 1907 1174:Categories 996:Obituaries 868:0950618101 846:required.) 691:References 657:— (1905). 646:— (1905). 635:— (1898). 313:Early life 67:1831-01-20 1094:165040321 1003:The Times 518:mechanics 496:Mechanics 486:, (1877). 480:, (1872); 448:the Derby 308:Biography 298:mechanics 96:, England 94:Cambridge 1135:(1936). 542:(1867). 510:textbook 355:Cardinal 335:Beverley 144:Routhian 77:, Canada 1163:at the 1086:3605871 729:at the 553:in his 504:on the 472:Honours 105:English 1143:  1092:  1084:  1021:Nature 976:  951:  926:  901:  865:  840: 416:fellow 319:Quebec 189:Fields 177:(1872) 172:(1854) 166:Awards 75:Quebec 1090:S2CID 1082:JSTOR 406:, as 333:near 331:Routh 1141:ISBN 974:ISBN 949:ISBN 924:ISBN 899:ISBN 863:ISBN 532:and 524:and 491:Work 353:and 83:Died 57:Born 1111:doi 1074:doi 1038:HHT 895:233 832:doi 536:'s 265:FRS 37:FRS 1176:: 1107:26 1105:. 1088:. 1080:. 1070:19 1068:. 1048:68 1046:, 1040:, 1026:76 1024:, 897:. 877:^ 802:^ 790:. 767:, 761:, 757:, 737:^ 712:. 699:^ 602:. 579:. 512:, 439:. 384:MA 380:BA 360:. 304:. 278:aĘŠ 1149:. 1117:. 1113:: 1096:. 1076:: 1014:5 982:. 957:. 932:. 907:. 871:. 838:. 834:: 652:. 284:/ 281:θ 275:r 272:/ 268:( 69:) 65:( 23:.

Index

Eddie Ray Routh
FRS

Quebec
Cambridge
University College London
Peterhouse, Cambridge
Routh's rule
Routh–Hurwitz theorem
Routh stability criterion
Routh array
Routhian
Routh's theorem
Routh polynomials
Routh's algorithm
Kirchhoff–Routh function
Smith's Prize
Adams Prize
University of London
Peterhouse, Cambridge
William Hopkins
Augustus De Morgan
Isaac Todhunter
John Strutt (Rayleigh)
J. J. Thomson
George Darwin
Alfred North Whitehead
Joseph Larmor
FRS
/raʊθ/

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