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Paolo Ruffini

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308: 38: 560: 283:'s work on permutation theory ("Réflexions sur la théorie algébrique des équations", 1770–1771). Lagrange's work was largely ignored until Ruffini established strong connections between permutations and the solvability of algebraic equations. Ruffini was the first to assert, controversially, the unsolvability by radicals of algebraic equations higher than 648: 643: 638: 493: 445: 260: 424:
Teoria Generale delle Equazioni, in cui si dimostra impossibile la soluzione algebraica delle equazioni generali di grado superiore al quarto.
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Teoria Generale delle Equazioni, in cui si dimostra impossibile la soluzione algebraica delle equazioni generali di grado superiore al quarto
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By 1788 he had earned university degrees in philosophy, medicine/surgery and mathematics. His works include developments in
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Riflessioni critiche sopra il saggio filosofico intorno alle probabilitĂ  del signor conte Laplace
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Della soluzione delle equazioni algebraiche determinate particolari di grado superiore al quarto
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Sopra la determinazione delle radici nelle equazioni numeriche di qualunque grado
249: 191:(22 September 1765 – 10 May 1822) was an Italian mathematician and philosopher. 142: 58: 596: 220: 363:
Riflessioni intorno alla soluzione delle equazioni algebraiche generali
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Riflessioni intorno alla rettificazione ed alla quadratura del circulo
291:(1731–1807). Work in that area was later carried on by those such as 264: 85: 563: This article incorporates text from a publication now in the 330:("reflections on the rectification and the squaring of the circle") 306: 66: 19:
This article is about the mathematician. For the comedian, see
365:("reflections on the algebraic solutions of equations") 287:, which angered many members of the community such as 534:(Dover ed.). Mineola, N.Y.: Dover Publications. 158: 148: 138: 117: 107: 97: 74: 44: 28: 263:and a medical doctor including scientific work on 16:Italian mathematician and philosopher (1765–1822) 275:In 1799 Ruffini marked a major improvement for 8: 411:"Paolo Ruffini | Italian mathematician" 506: 36: 25: 532:The Genesis of the Abstract Group Concept 259:He was a professor of mathematics at the 446:MacTutor History of Mathematics Archive 402: 492:: CS1 maint: archived copy as title ( 485: 7: 591:Dizionario Biografico degli Italiani 579:. New York: Robert Appleton Company. 217:quintic (and higher-order) equations 649:19th-century Italian mathematicians 644:18th-century Italian mathematicians 639:People from the Province of Viterbo 597:Istituto dell'Enciclopedia Italiana 569:Herbermann, Charles, ed. (1913). " 351:("on the immortality of the soul") 14: 299:, who succeeded in such a proof. 227:would complete the proof in 1824. 558: 593:, Volume 89: Rovereto–Salvemini 372:("essay on contagious typhoid") 312:Teoria generale delle equazioni 233:, which is a quick method for 1: 634:People from the Papal States 519:Memoria sul tifo contagioso. 349:Della immortalitĂ  dell’anima 370:Memoria sul tifo contagioso 670: 392:, asteroid named after him 90:Duchy of Modena and Reggio 18: 182: 174:Giovanni Battista Venturi 131: 35: 451:University of St Andrews 254:quadrature of the circle 289:Gian Francesco Malfatti 530:Wussing, Hans (2007). 358:("elementary algebra") 315: 576:Catholic Encyclopedia 310: 281:Joseph-Louis Lagrange 102:Sant'Agostino, Modena 21:Paolo Ruffini (actor) 595:(in Italian). Rome: 584:Pepe, Luigi (2017). 437:Robertson, Edmund F. 261:University of Modena 219:cannot be solved by 213:Abel–Ruffini theorem 195:Education and career 153:University of Modena 122:Abel–Ruffini theorem 112:University of Modena 435:O'Connor, John J.; 235:polynomial division 356:Algebra elementare 316: 474:on 9 October 2017 390:8524 Paoloruffini 248:He also wrote on 240:contributions to 186: 185: 133:Scientific career 55:22 September 1765 661: 610: 606:978-8-81200032-6 586:"RUFFINI, Paolo" 580: 562: 561: 546: 545: 527: 521: 516: 510: 504: 498: 497: 491: 483: 481: 479: 470:. Archived from 460: 454: 453: 432: 426: 421: 415: 414: 407: 209:incomplete proof 160:Doctoral advisor 81: 54: 52: 40: 26: 669: 668: 664: 663: 662: 660: 659: 658: 614: 613: 607: 583: 568: 559: 555: 550: 549: 542: 529: 528: 524: 517: 513: 507:Herbermann 1913 505: 501: 484: 477: 475: 468:www.stetson.edu 464:"Archived copy" 462: 461: 457: 441:"Paolo Ruffini" 434: 433: 429: 422: 418: 409: 408: 404: 399: 386: 305: 273: 197: 178: 124: 108:Alma mater 93: 83: 79: 70: 56: 50: 48: 31: 24: 17: 12: 11: 5: 667: 665: 657: 656: 651: 646: 641: 636: 631: 626: 616: 615: 612: 611: 605: 581: 554: 553:External links 551: 548: 547: 541:978-0486458687 540: 522: 511: 499: 455: 427: 416: 401: 400: 398: 395: 394: 393: 385: 382: 381: 380: 373: 366: 359: 352: 345: 338: 331: 324: 304: 301: 272: 269: 246: 245: 238: 231:Ruffini's rule 228: 196: 193: 184: 183: 180: 179: 177: 176: 171: 168: 167:Paolo Cassiani 164: 162: 156: 155: 150: 146: 145: 140: 136: 135: 129: 128: 126:Ruffini's rule 119: 118:Known for 115: 114: 109: 105: 104: 99: 95: 94: 92:(now in Italy) 84: 82:(aged 56) 76: 72: 71: 57: 46: 42: 41: 33: 32: 29: 15: 13: 10: 9: 6: 4: 3: 2: 666: 655: 652: 650: 647: 645: 642: 640: 637: 635: 632: 630: 627: 625: 622: 621: 619: 608: 602: 598: 594: 592: 587: 582: 578: 577: 572: 571:Paolo Ruffini 566: 565:public domain 557: 556: 552: 543: 537: 533: 526: 523: 520: 515: 512: 508: 503: 500: 495: 489: 473: 469: 465: 459: 456: 452: 448: 447: 442: 438: 431: 428: 425: 420: 417: 412: 406: 403: 396: 391: 388: 387: 383: 378: 374: 371: 367: 364: 360: 357: 353: 350: 346: 343: 339: 336: 332: 329: 325: 322: 318: 317: 313: 309: 302: 300: 298: 294: 290: 286: 282: 279:, developing 278: 270: 268: 266: 262: 257: 255: 251: 243: 239: 236: 232: 229: 226: 222: 218: 214: 210: 206: 205: 204: 202: 194: 192: 190: 189:Paolo Ruffini 181: 175: 172: 170:Luigi Fantini 169: 166: 165: 163: 161: 157: 154: 151: 147: 144: 141: 137: 134: 130: 127: 123: 120: 116: 113: 110: 106: 103: 100: 98:Resting place 96: 91: 87: 77: 73: 68: 64: 60: 47: 43: 39: 34: 30:Paolo Ruffini 27: 22: 589: 574: 531: 525: 518: 514: 502: 476:. Retrieved 472:the original 467: 458: 444: 430: 423: 419: 405: 376: 369: 362: 355: 348: 341: 334: 327: 320: 311: 303:Publications 277:group theory 274: 271:Group theory 258: 247: 242:group theory 198: 188: 187: 149:Institutions 132: 80:(1822-05-10) 63:Papal States 654:Algebraists 629:1822 deaths 624:1765 births 250:probability 143:Mathematics 78:10 May 1822 618:Categories 478:12 January 397:References 51:1765-09-22 59:Valentano 488:cite web 384:See also 285:quartics 252:and the 223:(1799). 221:radicals 65:(now in 567::  215:) that 201:algebra 603:  538:  375:1821: 368:1820: 361:1813: 354:1807: 347:1806: 340:1804: 333:1802: 326:1802: 319:1799: 314:, 1799 297:Galois 265:typhus 139:Fields 86:Modena 67:Italy 601:ISBN 536:ISBN 494:link 480:2022 295:and 293:Abel 225:Abel 75:Died 45:Born 573:". 207:an 620:: 599:. 588:. 490:}} 486:{{ 466:. 449:, 443:, 439:, 267:. 256:. 203:: 88:, 61:, 609:. 544:. 509:. 496:) 482:. 413:. 244:. 237:. 211:( 69:) 53:) 49:( 23:.

Index

Paolo Ruffini (actor)

Valentano
Papal States
Italy
Modena
Duchy of Modena and Reggio
Sant'Agostino, Modena
University of Modena
Abel–Ruffini theorem
Ruffini's rule
Mathematics
University of Modena
Doctoral advisor
Giovanni Battista Venturi
algebra
incomplete proof
Abel–Ruffini theorem
quintic (and higher-order) equations
radicals
Abel
Ruffini's rule
polynomial division
group theory
probability
quadrature of the circle
University of Modena
typhus
group theory
Joseph-Louis Lagrange

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