739:
496:
298:
63:
808:
345:
which retains its high reputation up to today, in order to promote other mathematicians' work. He was the first to read, and to recognize the importance of, the unpublished work of
798:
520:
328:
after graduating from the
Polytechnique, but opted instead for a career in mathematics. After some years as an assistant at various institutions including the
793:
341:
588:
593:
803:
763:
783:
471:
377:
146:
225:
49:
650:
476:
612:
758:
788:
707:
349:
which appeared in his journal in 1846. Liouville was also involved in politics for some time, and he became a member of the
313:
in France on 24 March 1809. His parents were Claude-Joseph
Liouville (an army officer) and Thérèse Liouville (née Balland).
405:
539:
533:
365:
671:
440:
325:
269:
444:
332:, he was appointed as professor at the École Polytechnique in 1838. He obtained a chair in mathematics at the
508:
350:
339:
Besides his academic achievements, he was very talented in organisational matters. Liouville founded the
221:
45:
679:
Lutzen J., "Liouville's differential calculus of arbitrary order and its electrodynamical origin", in
699:
429:
393:
353:
in 1848. However, after his defeat in the legislative elections in 1849, he turned away from politics.
230:
138:
53:
17:
397:
201:
768:
655:
645:
191:
142:
329:
187:
171:
413:
666:, Studies in the History of Mathematics and Physical Sciences, vol. 15, Springer-Verlag,
317:
175:
128:
409:
381:
321:
109:
778:
773:
369:
717:
333:
8:
641:
433:
87:
563:
459:
451:
417:
385:
31:
346:
734:
703:
667:
529:
401:
743:
713:
389:
361:
237:
182:
285:
730:
522:
Biographical Index of Former
Fellows of the Royal Society of Edinburgh 1783–2002
205:
392:). In mathematical physics, Liouville made two fundamental contributions: the
752:
357:
289:; 24 March 1809 – 8 September 1882) was a French mathematician and engineer.
356:
Liouville worked in a number of different fields in mathematics, including
412:
system. In
Hamiltonian dynamics, Liouville also introduced the notion of
297:
310:
83:
698:, London Mathematical Society Student Texts, vol. 76, Cambridge:
336:
in 1850 and a chair in mechanics at the Faculté des
Sciences in 1857.
373:
683:. 1985. Icelandic Mathematical Society, Reykjavik, pp. 149–160.
62:
664:
Joseph
Liouville 1809–1882: Master of Pure and Applied Mathematics
424:, and the underlying concept of integrability is referred to as
404:
by developing into eigenfunctions, and the fact (also known as
380:. In number theory, he was the first to prove the existence of
249:
246:
105:
400:, and is now a standard procedure to solve certain types of
809:
Members of the Göttingen
Academy of Sciences and Humanities
455:
420:. The modern formulation of this is sometimes called the
258:
564:"Joseph Liouville | French mathematician | Britannica"
30:"Liouville" redirects here. For the lunar crater, see
270:
240:
497:
Etat civil de la ville de Paris, 6ème arrondissement
261:
255:
243:
252:
408:) that time evolution is measure preserving for a
639:
432:to consider differentiation and integration of a
799:Members of the Royal Swedish Academy of Sciences
750:
586:
439:In 1851, he was elected a foreign member of the
528:. The Royal Society of Edinburgh. July 2006.
495:His death is registered the 9th of Septembre
443:. In 1853, he was elected as a member of the
324:before him, Liouville studied engineering at
27:French mathematician and engineer (1809–1882)
342:Journal de Mathématiques Pures et Appliquées
303:Journal de Mathématiques Pures et Appliquées
472:List of things named after Joseph Liouville
462:, an important function in number theory.
794:Members of the French Academy of Sciences
681:Proc. 19th Nordic Congress Mathematicians
594:Comptes rendus de l'Académie des Sciences
320:in 1825 and graduated in 1827. Just like
696:Number theory in the spirit of Liouville
693:
428:. Additionally, Liouville developed the
296:
651:MacTutor History of Mathematics Archive
14:
751:
661:
147:Liouville's theorem (complex analysis)
284:
804:Foreign members of the Royal Society
477:Liouville's theorem (disambiguation)
376:. He is remembered particularly for
24:
784:19th-century French mathematicians
740:Works by or about Joseph Liouville
687:
366:differential geometry and topology
316:Liouville gained admission to the
301:Title page of the first volume of
25:
820:
724:
441:Royal Swedish Academy of Sciences
764:École des Ponts ParisTech alumni
292:
236:
61:
416:as a description of completely
605:
580:
556:
513:
502:
489:
458:is named after him. So is the
445:American Philosophical Society
13:
1:
694:Williams, Kenneth S. (2011),
633:
587:Joseph Liouville (May 1844).
789:French mathematical analysts
589:"Mémoires et communications"
396:, which was joint work with
326:École des Ponts et Chaussées
7:
601:(20, 21): 883–885, 910–911.
465:
10:
825:
759:École Polytechnique alumni
700:Cambridge University Press
509:Figaro du 10 décembre 1882
430:Riemann-Liouville integral
29:
731:Works by Joseph Liouville
211:
197:
181:
167:
159:
152:
134:
124:
116:
94:
69:
60:
39:
656:University of St Andrews
482:
422:Liouville–Arnold theorem
384:by a construction using
662:Lützen, Jesper (1990),
426:Liouville integrability
414:action-angle variables
398:Charles François Sturm
394:Sturm–Liouville theory
382:transcendental numbers
306:
202:Eugène Charles Catalan
139:Sturm–Liouville theory
351:Constituting Assembly
322:Augustin-Louis Cauchy
300:
286:[ʒozɛfljuvil]
192:Louis Jacques Thénard
642:Robertson, Edmund F.
617:search.amphilsoc.org
613:"APS Member History"
370:mathematical physics
330:École Centrale Paris
172:École Centrale Paris
143:Liouville's equation
640:O'Connor, John J.;
406:Liouville's theorem
386:continued fractions
378:Liouville's theorem
318:École Polytechnique
176:École Polytechnique
129:École Polytechnique
646:"Joseph Liouville"
568:www.britannica.com
460:Liouville function
418:integrable systems
402:integral equations
307:
32:Liouville (crater)
735:Project Gutenberg
709:978-0-521-17562-3
390:Liouville numbers
334:Collège de France
215:
214:
198:Doctoral students
154:Scientific career
16:(Redirected from
816:
744:Internet Archive
720:
676:
658:
627:
626:
624:
623:
609:
603:
602:
584:
578:
577:
575:
574:
560:
554:
553:
551:
550:
544:
538:. Archived from
527:
517:
511:
506:
500:
493:
434:fractional order
362:complex analysis
288:
283:
277:
273:
268:
267:
264:
263:
260:
257:
254:
251:
248:
245:
242:
233:
228:
218:Joseph Liouville
183:Doctoral advisor
101:
98:8 September 1882
79:
77:
65:
52:
41:Joseph Liouville
37:
36:
21:
824:
823:
819:
818:
817:
815:
814:
813:
769:Corps des ponts
749:
748:
727:
710:
690:
688:Further reading
674:
636:
631:
630:
621:
619:
611:
610:
606:
585:
581:
572:
570:
562:
561:
557:
548:
546:
542:
536:
525:
519:
518:
514:
507:
503:
494:
490:
485:
468:
347:Évariste Galois
309:He was born in
295:
281:
275:
271:
239:
235:
229:
220:
204:
190:
174:
145:
141:
125:Alma mater
112:
103:
99:
90:
81:
75:
73:
56:
44:
42:
35:
28:
23:
22:
15:
12:
11:
5:
822:
812:
811:
806:
801:
796:
791:
786:
781:
776:
771:
766:
761:
747:
746:
737:
726:
725:External links
723:
722:
721:
708:
689:
686:
685:
684:
677:
672:
659:
635:
632:
629:
628:
604:
579:
555:
535:0-902-198-84-X
534:
512:
501:
487:
486:
484:
481:
480:
479:
474:
467:
464:
294:
291:
213:
212:
209:
208:
206:Nikolai Bugaev
199:
195:
194:
188:Siméon Poisson
185:
179:
178:
169:
165:
164:
161:
157:
156:
150:
149:
136:
135:Known for
132:
131:
126:
122:
121:
118:
114:
113:
104:
102:(aged 73)
96:
92:
91:
82:
71:
67:
66:
58:
57:
43:
40:
26:
9:
6:
4:
3:
2:
821:
810:
807:
805:
802:
800:
797:
795:
792:
790:
787:
785:
782:
780:
777:
775:
772:
770:
767:
765:
762:
760:
757:
756:
754:
745:
741:
738:
736:
732:
729:
728:
719:
715:
711:
705:
701:
697:
692:
691:
682:
678:
675:
673:3-540-97180-7
669:
665:
660:
657:
653:
652:
647:
643:
638:
637:
618:
614:
608:
600:
597:(in French).
596:
595:
590:
583:
569:
565:
559:
545:on 2016-03-04
541:
537:
531:
524:
523:
516:
510:
505:
498:
492:
488:
478:
475:
473:
470:
469:
463:
461:
457:
453:
448:
446:
442:
437:
435:
431:
427:
423:
419:
415:
411:
407:
403:
399:
395:
391:
387:
383:
379:
375:
371:
367:
363:
359:
358:number theory
354:
352:
348:
344:
343:
337:
335:
331:
327:
323:
319:
314:
312:
304:
299:
293:Life and work
290:
287:
279:
278:
266:
232:
227:
223:
219:
210:
207:
203:
200:
196:
193:
189:
186:
184:
180:
177:
173:
170:
166:
162:
158:
155:
151:
148:
144:
140:
137:
133:
130:
127:
123:
119:
115:
111:
107:
97:
93:
89:
85:
80:24 March 1809
72:
68:
64:
59:
55:
51:
47:
38:
33:
19:
695:
680:
663:
649:
620:. Retrieved
616:
607:
598:
592:
582:
571:. Retrieved
567:
558:
547:. Retrieved
540:the original
521:
515:
504:
491:
449:
438:
425:
421:
355:
340:
338:
315:
308:
302:
217:
216:
168:Institutions
153:
100:(1882-09-08)
779:1882 deaths
774:1809 births
450:The crater
410:Hamiltonian
368:, but also
163:Mathematics
117:Nationality
753:Categories
718:1227.11002
634:References
622:2021-04-16
573:2021-12-11
549:2017-04-28
311:Saint-Omer
84:Saint-Omer
76:1809-03-24
452:Liouville
374:astronomy
372:and even
18:Liouville
466:See also
305:in 1836.
742:at the
454:on the
282:French:
716:
706:
670:
532:
160:Fields
120:French
110:France
88:France
543:(PDF)
526:(PDF)
483:Notes
224:
106:Paris
48:
704:ISBN
668:ISBN
530:ISBN
456:Moon
274:-oo-
226:FRSE
95:Died
70:Born
50:FRSE
733:at
714:Zbl
276:VIL
272:LEE
231:FAS
222:FRS
54:FAS
46:FRS
755::
712:,
702:,
654:,
648:,
644:,
615:.
599:18
591:.
566:.
447:.
436:.
364:,
360:,
280:,
247:iː
108:,
86:,
625:.
576:.
552:.
499:.
388:(
265:/
262:l
259:ɪ
256:v
253:ˈ
250:u
244:l
241:ˌ
238:/
234:(
78:)
74:(
34:.
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
