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Thomas Clausen (mathematician)

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394: 516: 511: 501: 521: 506: 470: 443: 241: 38: 162:. He eventually returned to Munich, where he conceived and published his best known works on mathematics. In 1832, he discovered the 20: 190: 431: 205:; it was later shown that these five lunes are the only possible solutions to this problem. In 1854, he factored the sixth 345: 151: 475: 55: 19:
This article is about the Danish mathematician and astronomer. For other people with the same name, see
496: 491: 202: 159: 92: 227: 461: 233: 198: 465: 362: 194: 147: 112: 59: 439: 411: 340: 322: 284: 237: 167: 389: 265:"Ueber die Fälle, wenn die Reihe von der Form y = etc. ein Quadrat von der Form z = etc. hat" 108: 104: 51: 403: 354: 314: 276: 163: 88: 453: 423: 449: 419: 120: 77: 182: 485: 371: 206: 127: 174: 155: 407: 131: 434:, in Bradley, Robert E.; D'Antonio, Lawrence A.; Sandifer, C. Edward (eds.), 415: 326: 302: 288: 318: 264: 193:. Also in 1840, he also found two compass and straightedge constructions of 37: 280: 189:(later, only 248 were confirmed to be correct). In 1840, he discovered the 142:
Clausen learned mathematics at home. In 1820, he became a trainee at the
438:, MAA Spectrum, Washington, DC: Math. Assoc. America, pp. 217–225, 366: 124: 143: 358: 178: 116: 73: 432:"Parallels in the work of Leonhard Euler and Thomas Clausen" 197:
with equal area to a square, adding to three (including the
186: 173:
Works by Clausen include studies on the stability of
370:. Translated from Postnikov's 1963 Russian book on 84: 66: 44: 28: 166:. In 1842, Clausen was hired by the staff of the 395:Journal fĂĽr die reine und angewandte Mathematik 307:Journal fĂĽr die reine und angewandte Mathematik 269:Journal fĂĽr die reine und angewandte Mathematik 16:Danish mathematician and astronomer (1801–1885) 303:"Ăśber die Function sinφ + sin2φ + sin3φ + etc" 158:of stars by the moon. In 1828, he discovered 8: 229:The Biographical Encyclopedia of Astronomers 390:"Thomas Clausen: Mathematiker und Astronom" 201:) known to the ancient Greek mathematician 343:(2000), "The problem of squarable lunes", 154:his paper on calculating longitude by the 36: 25: 430:Lathrop, Carolyn; Stemkoski, Lee (2007), 471:MacTutor History of Mathematics Archive 218: 170:, becoming its director in 1866–1872. 146:Optical Institute and in 1824, at the 7: 185:and calculation of 250 decimals of 517:People from the Kingdom of Bavaria 512:People from the Duchy of Schleswig 502:19th-century Danish mathematicians 209:as 2+1 = 67280421310721 Ă— 274177. 14: 522:Expatriates in the Russian Empire 507:19th-century Danish astronomers 1: 346:American Mathematical Monthly 152:Heinrich Christian Schumacher 538: 388:Biermann, Kurt-R. (1964), 313:(8): 298–300. 1832-01-01. 191:Von Staudt–Clausen theorem 18: 408:10.1515/crll.1964.216.159 35: 476:University of St Andrews 275:(3): 89–91. 1828-01-01. 319:10.1515/crll.1832.8.298 226:Hockey, Thomas (2009). 281:10.1515/crll.1828.3.89 115:– 23 May 1885, 70:23 May 1885 (aged 84) 462:Robertson, Edmund F. 203:Hippocrates of Chios 109:Sottrup Municipality 56:Sottrup Municipality 460:O'Connor, John J.; 234:Springer Publishing 199:lune of Hippocrates 148:Altona Observatory 113:Duchy of Schleswig 103:(16 January 1801, 60:Duchy of Schleswig 445:978-0-88385-565-2 243:978-0-387-31022-0 168:Tartu Observatory 160:Clausen's formula 98: 97: 93:Clausen's formula 529: 478: 466:"Thomas Clausen" 456: 426: 375: 369: 341:Postnikov, M. M. 337: 331: 330: 299: 293: 292: 261: 255: 254: 252: 250: 223: 164:Clausen function 150:after he showed 89:Clausen function 40: 26: 537: 536: 532: 531: 530: 528: 527: 526: 482: 481: 459: 446: 429: 387: 384: 379: 378: 359:10.2307/2589121 339: 338: 334: 301: 300: 296: 263: 262: 258: 248: 246: 244: 225: 224: 220: 215: 140: 121:Imperial Russia 80: 78:Imperial Russia 71: 62: 49: 48:16 January 1801 31: 24: 17: 12: 11: 5: 535: 533: 525: 524: 519: 514: 509: 504: 499: 494: 484: 483: 480: 479: 457: 444: 427: 383: 380: 377: 376: 353:(7): 645–651, 332: 294: 256: 242: 217: 216: 214: 211: 183:telegraph code 181:movement, ABC 139: 136: 101:Thomas Clausen 96: 95: 86: 85:Known for 82: 81: 72: 68: 64: 63: 50: 46: 42: 41: 33: 32: 30:Thomas Clausen 29: 21:Thomas Clausen 15: 13: 10: 9: 6: 4: 3: 2: 534: 523: 520: 518: 515: 513: 510: 508: 505: 503: 500: 498: 495: 493: 490: 489: 487: 477: 473: 472: 467: 463: 458: 455: 451: 447: 441: 437: 433: 428: 425: 421: 417: 413: 409: 405: 401: 397: 396: 391: 386: 385: 381: 373: 372:Galois theory 368: 364: 360: 356: 352: 348: 347: 342: 336: 333: 328: 324: 320: 316: 312: 308: 304: 298: 295: 290: 286: 282: 278: 274: 270: 266: 260: 257: 245: 239: 235: 231: 230: 222: 219: 212: 210: 208: 207:Fermat number 204: 200: 196: 192: 188: 184: 180: 176: 171: 169: 165: 161: 157: 153: 149: 145: 137: 135: 133: 129: 128:mathematician 126: 122: 118: 114: 110: 106: 102: 94: 90: 87: 83: 79: 75: 69: 65: 61: 57: 53: 47: 43: 39: 34: 27: 22: 469: 436:Euler at 300 435: 399: 393: 350: 344: 335: 310: 306: 297: 272: 268: 259: 247:. Retrieved 228: 221: 175:Solar System 172: 141: 100: 99: 497:1885 deaths 492:1801 births 402:: 159–197, 156:occultation 486:Categories 382:References 249:August 22, 132:astronomer 416:0075-4102 327:0075-4102 289:0075-4102 123:) was a 454:2349552 424:0164862 367:2589121 105:Snogbæk 52:Snogbæk 452:  442:  422:  414:  365:  325:  287:  240:  144:Munich 125:Danish 363:JSTOR 213:Notes 195:lunes 179:comet 117:Tartu 74:Tartu 440:ISBN 412:ISSN 323:ISSN 311:1832 285:ISSN 273:1828 251:2012 238:ISBN 138:Life 130:and 67:Died 45:Born 404:doi 400:216 355:doi 351:107 315:doi 277:doi 488:: 474:, 468:, 464:, 450:MR 448:, 420:MR 418:, 410:, 398:, 392:, 361:, 349:, 321:. 309:. 305:. 283:. 271:. 267:. 236:. 232:. 187:pi 177:, 134:. 119:, 111:, 107:, 91:, 76:, 58:, 54:, 406:: 374:. 357:: 329:. 317:: 291:. 279:: 253:. 23:.

Index

Thomas Clausen

Snogbæk
Sottrup Municipality
Duchy of Schleswig
Tartu
Imperial Russia
Clausen function
Clausen's formula
Snogbæk
Sottrup Municipality
Duchy of Schleswig
Tartu
Imperial Russia
Danish
mathematician
astronomer
Munich
Altona Observatory
Heinrich Christian Schumacher
occultation
Clausen's formula
Clausen function
Tartu Observatory
Solar System
comet
telegraph code
pi
Von Staudt–Clausen theorem
lunes

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