Knowledge (XXG)

Adrien-Marie Legendre

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Institut National des Sciences et des Arts. Later, in 1803, Napoleon reorganized the Institut National, and Legendre became a member of the Geometry section. From 1799 to 1812, Legendre served as mathematics examiner for graduating artillery students at the École Militaire and from 1799 to 1815 he served as permanent mathematics examiner for the
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Legendre lost his private fortune in 1793 during the French Revolution. That year, he also married Marguerite-Claudine Couhin, who helped him put his affairs in order. In 1795, Legendre became one of six members of the mathematics section of the reconstituted Académie des Sciences, renamed the
808:(1752–1797) as a portrait of the mathematician. The error arose from the fact that the sketch was labelled simply "Legendre" and appeared in a book along with contemporary mathematicians such as Lagrange. The only known portrait of Legendre, rediscovered in 2008, is found in the 1820 book 445:, introducing the symbol Γ and normalizing it to Γ(n+1) = n!. Further results on the beta and gamma functions along with their applications to mechanics – such as the rotation of the earth, and the attraction of ellipsoids – appeared in the second volume. In 1830, he gave a proof of 374:
Legendre died in Paris on 9 January 1833, after a long and painful illness, and Legendre's widow carefully preserved his belongings to memorialize him. Upon her death in 1856, she was buried next to her husband in the village of
51: 1165: 430:; this was published in 1806 as an appendix to his book on the paths of comets. Today, the term "least squares method" is used as a direct translation from the French "mĂ©thode des moindres carrĂ©s". 1474: 367:. In 1824, Legendre's pension from the École Militaire was stopped because he refused to vote for the government candidate at the Institut National. In 1831, he was made an officer of the 853:(1752–1797), whose portrait had been mistakenly used, for nearly 200 years, to represent French mathematician Adrien-Marie Legendre, i.e. up until 2005 when the mistake was discovered. 1382:
Elements of geometry and trigonometry, from the works of A. M. Legendre. Revised and adapted to the course of mathematical instruction in the United States, by Charles Davies.
568:, which was published in 1794 and was the leading elementary text on the topic for around 100 years. This text greatly rearranged and simplified many of the propositions from 804:
For two centuries, until the recent discovery of the error in 2005, books, paintings and articles have incorrectly shown a profile portrait of the obscure French politician
1489: 1479: 897: 1042: 259:; 18 September 1752 – 9 January 1833) was a French mathematician who made numerous contributions to mathematics. Well-known and important concepts such as the 1019: 944: 1459: 1454: 1469: 610: 380: 1309: 793:
Réflexions sur différentes maniÚres de démontrer la théorie des parallÚles ou le théorÚme sur la somme des trois angles du triangle, avec 1 planche
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Mémoire sur la détermination des fonctions Y et Z que satisfont à l'équation 4(X^n-1) = (X-1)(Y^2+-nZ^2), n étant un nombre premier 4i-+1
1449: 1250: 437:, published in three volumes in 1811, 1817 and 1819. In the first volume he introduced the basic properties of elliptic integrals, 1464: 307:
awarded Legendre a prize for his treatise on projectiles in resistant media. This treatise also brought him to the attention of
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Méthode des moindres carrés pour trouver le milieu le plus probable entre les résultats de différentes observations
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Nouvelle formula pour réduire en distances vraies les distances apparentes de la Lune au Soleil ou à une étoile
504: 929: 832: 813: 446: 379:, where the couple had lived, and left their last country house to the village. Legendre's name is one of the 316: 1358: 515: 264: 128: 917: 912: 364: 174: 812:, a book of caricatures of seventy-three members of the Institut de France in Paris by the French artist 414:
completed that of Legendre. He developed, and first communicated to his contemporaries before Gauss, the
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Recherches sur quelques objets d'Analyse indéterminée et particuliÚrement sur le théorÚme de Fermat
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made Legendre an adjoint member in 1783 and an associate in 1785. In 1789, he was elected a
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Mémoires sur la méthode des moindres quarrés, et sur l'attraction des ellipsoïdes homogÚnes
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1820 watercolor caricatures of the French mathematicians Adrien-Marie Legendre (left) and
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Memoires présentés par divers Savants à la l'Académie des Sciences de l'Institut de France
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MĂ©moire sur la maniĂšre de distinguer les Maxima des Minima dans le Calcul des Variations
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in Paris, and defended his thesis in physics and mathematics in 1770. He taught at the
1433: 1384:(New York: A. S. Barnes & co., 1858) : English translation of the above text 1186: 954: 461: 438: 427: 415: 411: 268: 614: 473: 340: 1037: 476:, and on the application of analysis to number theory. His 1798 conjecture of the 1411: 1405: 1375: 1204: 1399: 1393: 1381: 1346: 865: 399: 1342: 1260: 1221: 1112: 1103: 1086: 845: 287:
on 18 September 1752 to a wealthy family. He received his education at the
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Recherches sur la trajectoire des projectiles dans les milieux résistants
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is named after him. He also did pioneering work on the distribution of
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Number Theory: An approach through history From Hammurapi to Legendre
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are named after him. He is also known for his contributions to the
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Album de 73 portraits-charge aquarellés des membres de I'Institut
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Album de 73 portraits-charge aquarellés des membres de I'Institut
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Album de 73 portraits-charge aquarellés des membres de I'Institut
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Coat of Arms of Adrien-Marie Legendre, as he was knighted in 1811
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Nouvelles MĂ©thodes pour la DĂ©termination des Orbites des ComĂštes
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Nouvelles MĂ©thodes pour la DĂ©termination des Orbites des ComĂštes
592: 343:. To this end in 1787 he visited Dover and London together with 1400:
Traité des fonctions elliptiques et des intégrales eulériennes
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L'intégration de quelques équations aux différences Partielles
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law, subsequently proved by Gauss; in connection to this, the
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who were commemorated on plaques at the first stage of the
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Analyse des triangles tracés sur la surface d'un sphéroide
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from 1795. At the same time, he was associated with the
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Second Mémoire sur les Intégrations par arcs d'ellipse
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1797-8 ("An VI"), 2nd ed. 1808, 3rd ed. in 2 vol. 1830
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Fellows of the American Academy of Arts and Sciences
1193:, Springer Science & Business Media2006, p. 325. 636:(prize on projectiles offered by the Berlin Academy) 242: 221: 203: 55:
Watercolor caricature by Julien-LĂ©opold Boilly (see
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in C. G. J. Jacobis gesammelte Werke (Berlin: 1852)
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Creators of mathematical and computational sciences
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Recherches sur diverses sortes d'intégrales défines
230: 209: 162: 154: 120: 110: 102: 86: 64: 41: 772:MĂ©moire sur l'attraction des ellipsoĂŻdes homogĂšnes 898:List of things named after Adrien-Marie Legendre 716:MĂ©moire sur les IntĂ©grations par arcs d'ellipse 1061:"The discovery of the method of least squares" 331:to calculate the precise distance between the 503:'s stroke of genius to study the inverses of 491:Legendre did an impressive amount of work on 8: 1043:Random House Webster's Unabridged Dictionary 673:, book in three volumes 1825, 1826, and 1830 667:, book in three volumes 1811, 1817, and 1819 1005: 1003: 1001: 835:, watercolor portrait numbers 29 and 30 of 1316:#29). Biliotheque de l'Institut de France. 1205:"Gauss and the Invention of Least Squares" 1087:"Gauss and the Invention of Least Squares" 680:Histoire de l'AcadĂ©mie Royale des Sciences 49: 38: 1490:Fellows of the Royal Society of Edinburgh 1480:Members of the French Academy of Sciences 1424:Correspondance mathĂ©matique avec Legendre 1402:(Paris : Huzard-Courcier, 1825–1828) 1297: 1295: 1239:Agarwal, Ravi P.; Sen, Syamal K. (2014). 1220: 1102: 945:Legendre's theorem on spherical triangles 849:Side view sketching of French politician 688:Sur l'attraction des SphĂ©roĂŻdes homogĂšnes 453: = 5, which was also proven by 818: 564:Legendre is best known as the author of 390:Legendre's grave at the Auteuil cemetery 1280:. American Academy of Arts and Sciences 1275:"Book of Members, 1780–2010: Chapter L" 1148:MacTutor History of Mathematics Archive 975: 418:method which has broad application in 1353:The True Face of Adrien-Marie Legendre 985:"Earliest Uses of Symbols of Calculus" 381:72 names inscribed on the Eiffel Tower 295:in Paris from 1775 to 1780 and at the 59:), the only known portrait of Legendre 56: 1234: 1232: 695:Recherches sur la figure des PlanĂštes 586:American Academy of Arts and Sciences 575:to create a more effective textbook. 406:was built on Legendre's, and some of 254: 7: 1368:References for Adrien-Marie Legendre 1132: 1130: 704:p. 465 (work on number theory) 1460:19th-century French mathematicians 1455:18th-century French mathematicians 511:and solve the problem completely. 495:, including the classification of 283:Adrien-Marie Legendre was born in 25: 1396:(Paris : Firmin-Didot, 1830) 702:Recherches d'analyse indĂ©terminĂ©e 553:. He is also the namesake of the 1470:Officers of the Legion of Honour 1418:Exercices de Calcul IntĂ©gral V.3 1412:Essai sur la ThĂ©orie des Nombres 1328: 1301:Boilly, Julien-LĂ©opold. (1820). 882: 868: 671:TraitĂ© des Fonctions Elliptiques 653:Essai sur la ThĂ©orie des Nombres 199: 27:French mathematician (1752–1833) 960:Least-squares spectral analysis 903:Associated Legendre polynomials 584:Foreign Honorary Member of the 518:, which is used to go from the 355:, the discoverer of the planet 329:Anglo-French Survey (1784–1790) 125:Associated Legendre polynomials 1408:(Paris  : Courcier, 1806) 1378:(Paris  : F. Didot, 1817) 1010:Duren, Peter (December 2009). 924:Legendre's functional relation 690:(work on Legendre polynomials) 611:72 prominent French scientists 534:it is also used to obtain the 275:had discovered it before him. 1: 1420:(Paris : Courcier, 1816) 1245:. Springer. pp. 218–19. 1485:Fellows of the Royal Society 1414:(Paris  : Duprat, 1798) 1085:Stigler, Stephen M. (1981). 665:Exercices de Calcul IntĂ©gral 435:Exercices de Calcul IntĂ©gral 1203:Stephen M. Stigler (1981). 345:Dominique, comte de Cassini 337:Royal Greenwich Observatory 322:Fellow of the Royal Society 256:[adʁiɛ̃maʁiləʒɑ̃dʁ] 1511: 1450:University of Paris alumni 1363:Fermat's Last Theorem Blog 718:p. 616 (as le Gendre) 410:'s work in statistics and 140:Introducing the character 29: 950:Saccheri–Legendre theorem 831:(right) by French artist 480:was rigorously proved by 351:. The three also visited 180: 147: 48: 1153:University of St Andrews 1091:The Annals of Statistics 908:Gauss–Legendre algorithm 57:§ Mistaken portrait 1465:French number theorists 1143:"Adrien-Marie Legendre" 711:p. 7 (as Legendre) 609:Legendre is one of the 516:Legendre transformation 269:method of least squares 265:Legendre transformation 129:Legendre transformation 1355:(Portrait of Legendre) 1312:27 August 2022 at the 1222:10.1214/aos/1176345451 1104:10.1214/aos/1176345451 1027:(11): 1440–1443, 1455. 926:for elliptic integrals 854: 840: 391: 191: 1495:Scientists from Paris 1376:ElĂ©ments de gĂ©omĂ©trie 1343:Adrien-Marie Legendre 1335:Adrien-Marie Legendre 1166:"Library and Archive" 930:Legendre's conjecture 848: 833:Julien-LĂ©opold Boilly 826: 814:Julien-LĂ©opold Boilly 647:ElĂ©ments de gĂ©omĂ©trie 617:when it first opened. 566:ÉlĂ©ments de gĂ©omĂ©trie 466:quadratic reciprocity 464:, he conjectured the 447:Fermat's Last Theorem 389: 327:He assisted with the 317:AcadĂ©mie des sciences 301:Bureau des Longitudes 195:Adrien-Marie Legendre 189: 43:Adrien-Marie Legendre 1337:at Wikimedia Commons 1139:Robertson, Edmund F. 732:(Legendre transform) 555:Legendre polynomials 514:He is known for the 486:de la VallĂ©e-Poussin 478:prime number theorem 273:Carl Friedrich Gauss 261:Legendre polynomials 133:Legendre polynomials 30:For other uses, see 1394:ThĂ©orie des nombres 1307:watercolor portrait 1137:O'Connor, John J.; 918:Legendre's equation 913:Legendre's constant 606:is named after him. 602:Main-belt asteroid 599:is named after him. 528:classical mechanics 365:École Polytechnique 175:École Polytechnique 1020:Notices of the AMS 876:Mathematics portal 855: 841: 497:elliptic integrals 493:elliptic functions 433:His major work is 426:, statistics, and 404:elliptic functions 392: 192: 137:Elliptic functions 1333:Media related to 859: 858: 800:Mistaken portrait 455:Lejeune Dirichlet 424:signal processing 420:linear regression 395:Mathematical work 333:Paris Observatory 184: 183: 149:Scientific career 75:18 September 1752 16:(Redirected from 1502: 1374: 1332: 1317: 1299: 1290: 1289: 1287: 1285: 1279: 1271: 1265: 1264: 1236: 1227: 1226: 1224: 1200: 1194: 1184: 1178: 1177: 1175: 1173: 1162: 1156: 1155: 1134: 1125: 1124: 1106: 1082: 1076: 1075: 1065: 1053: 1047: 1035: 1029: 1028: 1016: 1007: 996: 995: 993: 991: 980: 965:Seconds pendulum 920:in number theory 892: 887: 886: 878: 873: 872: 819: 816:as shown below: 369:LĂ©gion d'Honneur 353:William Herschel 258: 253: 249: 248: 245: 244: 241: 238: 235: 232: 227: 226: 223: 220: 217: 214: 211: 208: 205: 93: 74: 72: 53: 39: 21: 1510: 1509: 1505: 1504: 1503: 1501: 1500: 1499: 1430: 1429: 1372: 1325: 1320: 1314:Wayback Machine 1300: 1293: 1283: 1281: 1277: 1273: 1272: 1268: 1253: 1238: 1237: 1230: 1202: 1201: 1197: 1185: 1181: 1171: 1169: 1168:. Royal Society 1164: 1163: 1159: 1136: 1135: 1128: 1084: 1083: 1079: 1063: 1055: 1054: 1050: 1036: 1032: 1014: 1009: 1008: 999: 989: 987: 983:Aldrich, John. 982: 981: 977: 973: 940:Legendre symbol 888: 881: 874: 867: 864: 802: 649:, textbook 1794 624: 581: 551:internal energy 547:(free) energies 526:formulation of 470:Legendre symbol 443:gamma functions 397: 303:. In 1782, the 293:École Militaire 289:CollĂšge Mazarin 281: 251: 229: 202: 198: 173: 169: 167:École Militaire 139: 135: 131: 127: 115:CollĂšge Mazarin 111:Alma mater 98: 95: 91: 82: 76: 70: 68: 60: 44: 35: 28: 23: 22: 15: 12: 11: 5: 1508: 1506: 1498: 1497: 1492: 1487: 1482: 1477: 1472: 1467: 1462: 1457: 1452: 1447: 1442: 1432: 1431: 1428: 1427: 1421: 1415: 1409: 1403: 1397: 1391: 1385: 1379: 1370: 1365: 1356: 1350: 1339: 1338: 1324: 1323:External links 1321: 1319: 1318: 1291: 1266: 1251: 1228: 1215:(3): 465–474. 1195: 1179: 1157: 1126: 1097:(3): 465–474. 1077: 1057:Plackett, R.L. 1048: 1030: 997: 974: 972: 969: 968: 967: 962: 957: 952: 947: 942: 937: 935:Legendre sieve 932: 927: 921: 915: 910: 905: 900: 894: 893: 890:Physics portal 879: 863: 860: 857: 856: 851:Louis Legendre 842: 829:Joseph Fourier 806:Louis Legendre 801: 798: 797: 796: 789: 782: 775: 764: 757: 750: 742: 741: 734: 733: 726: 719: 712: 705: 698: 691: 683: 682: 675: 674: 668: 662: 656: 650: 643: 642: 638: 637: 629: 628: 623: 620: 619: 618: 607: 604:26950 Legendre 600: 589: 580: 577: 559:electrostatics 532:thermodynamics 499:, but it took 439:beta functions 396: 393: 349:Pierre MĂ©chain 305:Berlin Academy 280: 277: 182: 181: 178: 177: 164: 160: 159: 156: 152: 151: 145: 144: 122: 121:Known for 118: 117: 112: 108: 107: 104: 100: 99: 96: 94:(aged 80) 90:9 January 1833 88: 84: 83: 77: 66: 62: 61: 54: 46: 45: 42: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 1507: 1496: 1493: 1491: 1488: 1486: 1483: 1481: 1478: 1476: 1473: 1471: 1468: 1466: 1463: 1461: 1458: 1456: 1453: 1451: 1448: 1446: 1443: 1441: 1438: 1437: 1435: 1425: 1422: 1419: 1416: 1413: 1410: 1407: 1404: 1401: 1398: 1395: 1392: 1389: 1386: 1383: 1380: 1377: 1371: 1369: 1366: 1364: 1360: 1357: 1354: 1351: 1348: 1344: 1341: 1340: 1336: 1331: 1327: 1326: 1322: 1315: 1311: 1308: 1304: 1298: 1296: 1292: 1276: 1270: 1267: 1262: 1258: 1254: 1252:9783319108704 1248: 1244: 1243: 1235: 1233: 1229: 1223: 1218: 1214: 1210: 1206: 1199: 1196: 1192: 1188: 1183: 1180: 1167: 1161: 1158: 1154: 1150: 1149: 1144: 1140: 1133: 1131: 1127: 1122: 1118: 1114: 1110: 1105: 1100: 1096: 1092: 1088: 1081: 1078: 1074:(2): 239–251. 1073: 1069: 1062: 1058: 1052: 1049: 1045: 1044: 1039: 1034: 1031: 1026: 1022: 1021: 1013: 1006: 1004: 1002: 998: 986: 979: 976: 970: 966: 963: 961: 958: 956: 955:Least squares 953: 951: 948: 946: 943: 941: 938: 936: 933: 931: 928: 925: 922: 919: 916: 914: 911: 909: 906: 904: 901: 899: 896: 895: 891: 885: 880: 877: 871: 866: 861: 852: 847: 843: 838: 834: 830: 825: 821: 820: 817: 815: 811: 807: 799: 794: 790: 787: 783: 780: 776: 773: 769: 765: 762: 758: 755: 751: 748: 744: 743: 740: 736: 735: 731: 727: 724: 720: 717: 713: 710: 706: 703: 699: 696: 692: 689: 685: 684: 681: 677: 676: 672: 669: 666: 663: 660: 657: 654: 651: 648: 645: 644: 640: 639: 635: 631: 630: 626: 625: 621: 616: 612: 608: 605: 601: 598: 594: 590: 587: 583: 582: 578: 576: 574: 573: 567: 562: 560: 556: 552: 548: 545: 541: 537: 533: 529: 525: 521: 517: 512: 510: 506: 502: 498: 494: 489: 487: 483: 479: 475: 471: 467: 463: 462:number theory 458: 456: 452: 449:for exponent 448: 444: 440: 436: 431: 429: 428:curve fitting 425: 421: 417: 416:least squares 413: 412:number theory 409: 405: 401: 394: 388: 384: 382: 378: 372: 370: 366: 360: 358: 354: 350: 346: 342: 338: 334: 330: 325: 323: 319: 318: 312: 310: 306: 302: 298: 297:École Normale 294: 290: 286: 278: 276: 274: 270: 266: 262: 257: 247: 196: 188: 179: 176: 172: 171:École Normale 168: 165: 161: 158:Mathematician 157: 153: 150: 146: 143: 138: 134: 130: 126: 123: 119: 116: 113: 109: 105: 101: 97:Paris, France 89: 85: 80: 67: 63: 58: 52: 47: 40: 37: 33: 19: 1302: 1282:. Retrieved 1269: 1241: 1212: 1208: 1198: 1190: 1182: 1170:. Retrieved 1160: 1146: 1094: 1090: 1080: 1071: 1067: 1051: 1041: 1033: 1024: 1018: 988:. Retrieved 978: 836: 809: 803: 792: 785: 778: 771: 767: 760: 753: 746: 738: 729: 722: 715: 708: 701: 694: 687: 679: 678:Memoires in 670: 664: 658: 652: 646: 633: 622:Publications 615:Eiffel Tower 571: 565: 563: 513: 490: 459: 450: 434: 432: 398: 373: 361: 341:trigonometry 339:by means of 326: 315: 313: 282: 194: 193: 163:Institutions 148: 92:(1833-01-09) 36: 1445:1833 deaths 1440:1752 births 1373:(in French) 770:(149–154), 725:p. 644 697:p. 370 524:Hamiltonian 402:'s work on 103:Nationality 1434:Categories 1347:PlanetMath 1187:AndrĂ© Weil 1068:Biometrika 1038:"Legendre" 520:Lagrangian 71:1752-09-18 18:Legendrian 1359:Biography 1261:895161901 1209:Ann. Stat 1113:0090-5364 795:(367–412) 774:(155–183) 763:(416–509) 756:(130–161) 570:Euclid's 549:from the 540:Helmholtz 509:functions 488:in 1896. 457:in 1828. 1310:Archived 1172:6 August 1059:(1972). 990:20 April 862:See also 788:(81–100) 759:Tome 10 597:Legendre 572:Elements 538:and the 536:enthalpy 482:Hadamard 335:and the 309:Lagrange 81:, France 32:Legendre 1284:28 July 1121:2240811 749:(30–54) 595:crater 522:to the 377:Auteuil 252:French: 1390:(1830) 1259:  1249:  1119:  1111:  781:(1–60) 661:, 1805 627:Essays 588:(1832) 579:Honors 505:Jacobi 474:primes 357:Uranus 155:Fields 106:French 1278:(PDF) 1117:JSTOR 1064:(PDF) 1015:(PDF) 971:Notes 791:1833 784:1828 777:1823 766:1819 752:1807 745:1806 728:1787 721:1786 714:1786 707:1786 700:1785 693:1784 686:1783 641:Books 632:1782 544:Gibbs 530:. In 408:Gauss 285:Paris 79:Paris 1286:2014 1257:OCLC 1247:ISBN 1174:2012 1109:ISSN 992:2017 593:Moon 591:The 542:and 501:Abel 484:and 441:and 400:Abel 347:and 314:The 279:Life 263:and 87:Died 65:Born 1361:at 1345:at 1217:doi 1099:doi 737:In 507:'s 460:In 1436:: 1294:^ 1255:. 1231:^ 1211:. 1207:. 1189:, 1151:, 1145:, 1141:, 1129:^ 1115:. 1107:. 1093:. 1089:. 1072:59 1070:. 1066:. 1040:. 1025:56 1023:. 1017:. 1000:^ 561:. 422:, 383:. 371:. 359:. 324:. 311:. 250:; 237:ɑː 228:,- 225:ər 216:ɑː 1349:. 1305:( 1288:. 1263:. 1225:. 1219:: 1213:9 1176:. 1123:. 1101:: 1095:9 1046:. 994:. 839:. 451:n 246:/ 243:d 240:n 234:ʒ 231:ˈ 222:d 219:n 213:ʒ 210:ˈ 207:ə 204:l 201:/ 197:( 142:∂ 73:) 69:( 34:. 20:)

Index

Legendrian
Legendre

§ Mistaken portrait
Paris
CollĂšge Mazarin
Associated Legendre polynomials
Legendre transformation
Legendre polynomials
Elliptic functions
∂
École Militaire
École Normale
École Polytechnique

/ləˈʒɑːndər,-ˈʒɑːnd/
[adʁiɛ̃maʁiləʒɑ̃dʁ]
Legendre polynomials
Legendre transformation
method of least squares
Carl Friedrich Gauss
Paris
CollĂšge Mazarin
École Militaire
École Normale
Bureau des Longitudes
Berlin Academy
Lagrange
Académie des sciences
Fellow of the Royal Society

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