Knowledge

Rudolf Ernest Langer

Source đź“ť

107:
making connections between the new observations and Dirac’s theories, putting forth imaginative claims such as that the proton is made of a neutron and a positron. His paper was not taken seriously.
722: 727: 712: 567:"The asymptotic solutions of ordinary linear differential equations of the second order, with special reference to a turning point" 398:"The asymptotic solutions of ordinary differential equations of the second order, with special reference to the Stokes phenomenon" 468:"On the asymptotic solutions of ordinary differential equations, with reference to the Stokes' phenomenon about a singular point" 67: 637: 294:"On the asymptotic solutions of ordinary differential equations, with an application to the Bessel functions of large order" 329:"On the asymptotic solutions of differential equations, with an application to the Bessel functions of large complex order" 31: 717: 224:"The boundary problem associated with a differential equation in which the coefficient of the parameter changes sign" 63: 66:
and, from 1942 to 1952, the chair of the mathematics department. From 1956 to 1963 he was the director of the
687: 667:
Gramham Farmelo (2009). The Strangest Man: The Hidden Life of Paul Dirac, Mystic of the Atom. pp. 213
536:
Langer, Rudolph E. (1937). "On the connection formulas and the solutions of the wave equations".
433:"The solutions of the Mathieu equation with a complex variable and at least one parameter large" 75: 665: 47: 707: 702: 592: 545: 528: 493: 458: 423: 389: 354: 319: 284: 249: 214: 179: 144: 79: 8: 90: 549: 51: 583: 566: 484: 467: 449: 432: 345: 328: 310: 293: 240: 223: 205: 188: 170: 153: 135: 118: 103: 71: 59: 43: 27: 625: 519: 502: 414: 397: 380: 363: 275: 258: 578: 553: 514: 479: 444: 409: 375: 340: 305: 270: 235: 200: 165: 130: 648: 83: 588: 524: 489: 454: 419: 385: 350: 315: 280: 245: 210: 175: 140: 55: 696: 119:"Developments associated with a boundary problem not linear in the parameter" 101:’s work on the anti-electron and made a connection. He sent a short paper to 23: 683: 557: 62:
from 1922 to 1925. From 1927 to 1964 he was a mathematics professor at the
638:"Memorial Resolution on the Death of Emeritus Professor J. Barkley Rosser" 503:"On determination of earth conductivity from observed surface potentials" 94: 189:"On the theory of integral equations with discontinuous kernels" 98: 604:. Vol. 7 (1967 and 1968 ed.). pp. 407–412. 723:
Presidents of the Mathematical Association of America
154:"On the momental constants of a summable function" 364:"On an inverse problem in differential equations" 694: 259:"On the zeros of exponential sums and integrals" 621: 619: 22:(8 March 1894 – 11 March 1968) was an American 97:, and was one of the few people to have read 89:Langer was a colleague of American physicist 616: 582: 518: 483: 448: 413: 379: 344: 309: 274: 239: 204: 169: 134: 728:University of Wisconsin–Madison faculty 695: 564: 535: 500: 465: 430: 361: 326: 291: 256: 221: 186: 151: 116: 74:. Langer's doctoral students include 713:20th-century American mathematicians 626:MAA presidents: Rudolf Ernest Langer 600:"Differential Equations, Ordinary". 32:Mathematical Association of America 13: 70:; he was succeeded as director by 16:American mathematician (1894–1968) 14: 739: 677: 584:10.1090/s0002-9947-1949-0033420-2 485:10.1090/s0002-9947-1935-1501793-7 450:10.1090/s0002-9947-1934-1501760-2 346:10.1090/s0002-9947-1932-1501648-5 311:10.1090/s0002-9947-1931-1501574-0 241:10.1090/s0002-9947-1929-1501464-4 206:10.1090/s0002-9947-1926-1501367-2 171:10.1090/s0002-9947-1926-1501338-6 136:10.1090/s0002-9947-1923-1501235-3 645:University of Wisconsin, Madison 68:Army Mathematics Research Center 647:, March 5, 1990, archived from 520:10.1090/s0002-9904-1936-06420-7 415:10.1090/s0002-9904-1934-05913-5 381:10.1090/s0002-9904-1933-05752-x 276:10.1090/s0002-9904-1931-05133-8 64:University of Wisconsin-Madison 658: 630: 50:, earned his PhD in 1922 from 1: 688:Mathematics Genealogy Project 609: 42:Langer, the elder brother of 7: 565:Langer, Rudolph E. (1949). 466:Langer, Rudolph E. (1935). 431:Langer, Rudolph E. (1934). 327:Langer, Rudolph E. (1932). 292:Langer, Rudolph E. (1931). 222:Langer, Rudolph E. (1929). 187:Langer, Rudolph E. (1926). 117:Langer, Rudolph E. (1923). 58:. He taught mathematics at 10: 744: 30:and as a president of the 718:Harvard University alumni 37: 110: 602:Encyclopædia Britannica 571:Trans. Amer. Math. Soc 558:10.1103/physrev.51.669 501:Langer, R. E. (1936). 472:Trans. Amer. Math. Soc 437:Trans. Amer. Math. Soc 362:Langer, R. E. (1933). 333:Trans. Amer. Math. Soc 298:Trans. Amer. Math. Soc 257:Langer, R. E. (1931). 228:Trans. Amer. Math. Soc 193:Trans. Amer. Math. Soc 158:Trans. Amer. Math. Soc 152:Langer, R. E. (1926). 123:Trans. Amer. Math. Soc 76:Nicholas D. Kazarinoff 402:Bull. Amer. Math. Soc 263:Bull. Amer. Math. Soc 48:Walter Charles Langer 684:Rudolf Ernest Langer 408:(8): 545–582. 1934. 93:, discoverer of the 20:Rudolf Ernest Langer 550:1937PhRv...51..669L 507:Bull. Am. Math. Soc 368:Bull. Am. Math. Soc 91:Carl David Anderson 52:Harvard University 80:Homer Newell, Jr. 72:J. Barkley Rosser 60:Dartmouth College 44:William L. Langer 28:Langer correction 735: 671: 670: 662: 656: 655: 653: 642: 634: 628: 623: 605: 596: 586: 561: 532: 522: 497: 487: 462: 452: 427: 417: 393: 383: 358: 348: 323: 313: 288: 278: 253: 243: 218: 208: 183: 173: 148: 138: 26:, known for the 743: 742: 738: 737: 736: 734: 733: 732: 693: 692: 680: 675: 674: 664: 663: 659: 654:on June 8, 2011 651: 640: 636: 635: 631: 624: 617: 612: 599: 513:(10): 747–754. 396: 374:(10): 814–820. 113: 40: 17: 12: 11: 5: 741: 731: 730: 725: 720: 715: 710: 705: 691: 690: 679: 678:External links 676: 673: 672: 657: 629: 614: 613: 611: 608: 607: 606: 597: 577:(2): 461–490. 562: 544:(8): 669–676. 533: 498: 478:(3): 397–416. 463: 443:(3): 637–710. 428: 394: 359: 339:(3): 447–480. 324: 289: 269:(4): 213–239. 254: 219: 199:(4): 585–639. 184: 164:(1): 168–182. 149: 129:(2): 155–172. 112: 109: 56:G. D. Birkhoff 39: 36: 15: 9: 6: 4: 3: 2: 740: 729: 726: 724: 721: 719: 716: 714: 711: 709: 706: 704: 701: 700: 698: 689: 685: 682: 681: 669: 668: 661: 650: 646: 639: 633: 627: 622: 620: 615: 603: 598: 594: 590: 585: 580: 576: 572: 568: 563: 559: 555: 551: 547: 543: 539: 534: 530: 526: 521: 516: 512: 508: 504: 499: 495: 491: 486: 481: 477: 473: 469: 464: 460: 456: 451: 446: 442: 438: 434: 429: 425: 421: 416: 411: 407: 403: 399: 395: 391: 387: 382: 377: 373: 369: 365: 360: 356: 352: 347: 342: 338: 334: 330: 325: 321: 317: 312: 307: 303: 299: 295: 290: 286: 282: 277: 272: 268: 264: 260: 255: 251: 247: 242: 237: 233: 229: 225: 220: 216: 212: 207: 202: 198: 194: 190: 185: 181: 177: 172: 167: 163: 159: 155: 150: 146: 142: 137: 132: 128: 124: 120: 115: 114: 108: 106: 105: 100: 96: 92: 87: 85: 84:Henry ScheffĂ© 81: 77: 73: 69: 65: 61: 57: 53: 49: 45: 35: 33: 29: 25: 24:mathematician 21: 666: 660: 649:the original 644: 632: 601: 574: 570: 541: 537: 510: 506: 475: 471: 440: 436: 405: 401: 371: 367: 336: 332: 304:(1): 23–64. 301: 297: 266: 262: 231: 227: 196: 192: 161: 157: 126: 122: 102: 88: 41: 19: 18: 708:1968 deaths 703:1894 births 234:(1): 1–24. 697:Categories 610:References 538:Phys. Rev 95:positron 686:at the 593:0033420 546:Bibcode 529:1563417 494:1501793 459:1501760 424:1562910 390:1562734 355:1501648 320:1501574 285:1562129 250:1501464 215:1501367 180:1501338 145:1501235 104:Science 591:  527:  492:  457:  422:  388:  353:  318:  283:  248:  213:  178:  143:  82:, and 54:under 38:Career 652:(PDF) 641:(PDF) 111:Works 99:Dirac 46:and 579:doi 554:doi 515:doi 480:doi 445:doi 410:doi 376:doi 341:doi 306:doi 271:doi 236:doi 201:doi 166:doi 131:doi 699:: 643:, 618:^ 589:MR 587:. 575:67 573:. 569:. 552:. 542:51 540:. 525:MR 523:. 511:42 509:. 505:. 490:MR 488:. 476:37 474:. 470:. 455:MR 453:. 441:36 439:. 435:. 420:MR 418:. 406:40 404:. 400:. 386:MR 384:. 372:39 370:. 366:. 351:MR 349:. 337:34 335:. 331:. 316:MR 314:. 302:33 300:. 296:. 281:MR 279:. 267:37 265:. 261:. 246:MR 244:. 232:31 230:. 226:. 211:MR 209:. 197:28 195:. 191:. 176:MR 174:. 162:28 160:. 156:. 141:MR 139:. 127:25 125:. 121:. 86:. 78:, 34:. 595:. 581:: 560:. 556:: 548:: 531:. 517:: 496:. 482:: 461:. 447:: 426:. 412:: 392:. 378:: 357:. 343:: 322:. 308:: 287:. 273:: 252:. 238:: 217:. 203:: 182:. 168:: 147:. 133::

Index

mathematician
Langer correction
Mathematical Association of America
William L. Langer
Walter Charles Langer
Harvard University
G. D. Birkhoff
Dartmouth College
University of Wisconsin-Madison
Army Mathematics Research Center
J. Barkley Rosser
Nicholas D. Kazarinoff
Homer Newell, Jr.
Henry Scheffé
Carl David Anderson
positron
Dirac
Science
"Developments associated with a boundary problem not linear in the parameter"
doi
10.1090/s0002-9947-1923-1501235-3
MR
1501235
"On the momental constants of a summable function"
doi
10.1090/s0002-9947-1926-1501338-6
MR
1501338
"On the theory of integral equations with discontinuous kernels"
doi

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

↑