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John Pell (mathematician)

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in about 1656 as "a strange unknown person, not unsuiting the people he was sent to, nor the master he came from. They are here so strict in their religion, they suffer not the Venetian ambassador to hear mass in his own house." Cromwell wanted to split the Protestant cantons of Switzerland off to
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was a short manifesto. It made three suggestions: a mathematical encyclopedia and bibliography; a complete mathematics research library and collection of instruments, with state sponsorship; and a three-volume comprehensive set of mathematical textbooks, able to convey the state of the art to any
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join a Protestant League, with England at its head. However Pell's negotiations were long drawn out and he returned to England to deliver his report only shortly before Cromwell's death. He was unable to report as he waited in vain for an audience with the ailing Cromwell.
515:(1668); added to his earlier editorial contributions, whatever they were, to the 1659 algebra book written by Rahn (i.e. Rhonius). This new edition by Pell of what was essentially Rahn's work included a great deal of additional material on 232:. By the time he was six, they were orphans, their father dying in 1616 and their mother the following year. John Pell the elder had a fine library, which proved valuable to the young Pell as he grew up. He was educated at 819: 365:, where he taught until 1652. He realised that war between the English and the Dutch was imminent and that he would be in an extremely difficult position in Breda, so returned to England before the outbreak of the 1235: 480: 419:; it has also been attributed to Pell, who taught Rahn a three-column spreadsheet-style technique of tabulation of calculations, and acted as editor for Rahn's 1659 book 1449: 1323: 1444: 251:. On 3 July 1632 he married Ithamaria Reginald (also rendered as Ithamara or Ithumaria, with the surname Reginolles), sister of the writer and polymath 427:
was a favourite subject with Pell; he lectured on them at Amsterdam. He is now best remembered, if perhaps erroneously, for the indeterminate equation
1262: 594:. His devotion to mathematics seems to have interfered with his advancement in the Church and with his private life. For a time he was confined as a 1231: 1434: 1454: 1307: 1032: 1424: 1147: 1464: 499:, and in 1657 to all mathematicians. Pell's connection with the problem is through Rahn. It consisted of publication of the solutions of 1312: 1173: 1106: 725:(1643–1702), one of the mathematician's four sons, who travelled from England to New York and took up residence there as the first 1399: 247:
and other mathematicians. He was promoted by seniority to M.A. in 1630 and taught in the short-lived Chichester Academy set up by
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During his university career he became an accomplished linguist; even before taking a B.A. degree in 1629, he corresponded with
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John Pell (1611–1685) and His Correspondence with Sir Charles Cavendish: The Mental World of an Early Modern Mathematician
1469: 286:. As part of a joint lobbying effort with Hartlib to find himself support to continue as a researcher, he had his short 590:
in London, and was able to inform him that some of his mathematical work had been anticipated by François Regnaud and
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Indian tribal members that granted him 50,000 acres (20,000 ha) of tribal land, including all or part of
396: 310:, the English resident, with the States-General procured his election in 1644 to the chair of mathematics in 1459: 1429: 244: 496: 556: 730: 423:
in which it appeared. This book by Rahn also contained what would become known as the "Pell equation".
255:. They had four sons and four daughters. Ithumaria died in 1661. Some time before 1669 Pell remarried. 237: 110: 1201:
Faith, Alchemy and Natural Philosophy: Johann Moriaen, Reformed Intelligencer, and the Hartlib Circle.
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https://web.archive.org/web/20060615060236/http://www.townofpelham.com/townhistorian/index.html
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Sources variously give the date of the transaction as 27 June 11 November, or 14 November 1654.
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had bought the Fort and surrounding lands in 1820, and used the property as a summer retreat.)
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in 1849 and emigrated to Australia in 1852 to become the first professor of mathematics and
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Pell spent much of the 1630s working under Hartlib's influence, on topics in the area of
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Pelliana : Pell of Pelham : Sir John Pell, second Lord of the Manor of Pelham
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This article is about the mathematician. For his son, the American landowner, see
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left for Leiden had failed. From 1644 he worked on a polemical work, against
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After his return to England, Pell took orders and in 1661 became rector of
532: 322:. For this he put in a large effort soliciting help and testimonials: from 278:. In mathematics, he concentrated on expanding the scope of algebra in the 1081: 579:, having taught him mathematics at Breda, and after Brereton died in 1680 1130: 694: 690: 580: 500: 229: 217: 124: 86: 646:
Astronomical History of Observations of Heavenly Motions and Appearances
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Controversy with Longomontanus concerning the Quadrature of the Circle
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Controversy with Longomontanus concerning the Quadrature of the Circle
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and political agent abroad. He was made Royal Chair of Mathematics at
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New York State Office of Parks, Recreation and Historic Preservation
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This article incorporates text from a publication now in the
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A mathematical pupil and disciple in Switzerland, from 1657, was
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From 1654 to 1658 Pell acted as Cromwell's political agent in
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printed in October 1638. It brought interested responses from
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A History of Mathematical Notations: Two Volumes Bound as One
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Times, Enid Nemy Special to The New York (13 August 1979).
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in Kent. The second of two sons, Pell's older brother was
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in what is now Westchester County, extending west to the
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appointed Pell to a post teaching mathematics in London.
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Descartes’ Early Mathematical Researches (ca. 1616–1629)
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in the 1630s. In 1654, Thomas Pell signed a treaty with
395:. Pell was described in ZĂĽrich by the English traveller 721:. Having no children, he left his estate to his nephew 964:
Dictionary of Seventeenth-Century British Philosophers
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reported a very close friendship between the two men.
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It is also notable for its inclusion of a 357:, Pell accepted a professorship at the new 1445:People educated at Steyning Grammar School 1223: 1058:O'Connor, J. J.; Robertson, E. F. (2005), 551:. In 1663 he was given an honorary D. D. ( 1355:(Oxford: Oxford University Press, 2005). 1302: 1120:Concise Dictionary of National Biography 538: 519:, amounting to a reply to the 1657 book 306:His reputation and the influence of Sir 301: 1384:MacTutor History of Mathematics Archive 1324:Oxford Dictionary of National Biography 955: 953: 839: 802: â€“ American politician (1918–2009) 491:. This problem was in fact proposed by 1407: 1172:: CS1 maint: archived copy as title ( 1105:: CS1 maint: archived copy as title ( 818: 670:A Table of Ten Thousand Square Numbers 415:) from one of the classic symbols for 1435:Original fellows of the Royal Society 1260: 1455:Alumni of Trinity College, Cambridge 1347:The most recent study of Pell is by 1051: 950: 796: â€“ Historical manuscript symbol 749:about 1750, and another descendant, 602:. He lived, on the invitation of Dr 569:William Brereton, 3rd Baron Brereton 1425:17th-century English mathematicians 13: 1465:People from Southwick, West Sussex 1320: 606:, for a short time in 1682 at the 14: 1486: 1366: 1230:Austin N. O'Brien (August 1982). 355:Frederick Henry, Prince of Orange 192:, and was under the patronage of 16:British mathematician (1611–1685) 1290: 513:Translation of Rhonius's Algebra 369:in July 1652. After his return, 38: 1254: 1214: 1193: 1180: 1140: 1124: 1113: 1067: 1025: 1009: 1000: 987: 973: 937: 925: 913: 889:Malcolm and Stedall, pp. 73–74. 475:{\displaystyle ax^{2}+1=y^{2},} 412: 901: 892: 883: 862: 853: 830: 812: 353:In 1646, on the invitation of 1: 1283: 207: 1341:UK public library membership 1137:(Random House, 2016), p. 232 898:Malcolm and Stedall, pp. 77. 7: 1379:"John Pell (mathematician)" 880:Malcolm and Stedall, p. 57. 868:Malcolm and Stedall, p. 55. 859:Malcolm and Stedall, p. 69. 836:Malcolm and Stedall, p. 29. 824:A Cambridge Alumni Database 787: 709:and land to the west along 557:Fellow of the Royal Society 521:Exercitationes mathematicae 10: 1491: 1470:People imprisoned for debt 1133:, ed. Oliver Lawson Dick, 1006:Malcolm and Stedall p. 77. 826:. University of Cambridge. 391:, the English resident at 238:Trinity College, Cambridge 111:Trinity College, Cambridge 18: 993:Albert Ivatt, M. A., ed: 780:at the newly inaugurated 684: 555:) and was also elected a 497:Bernard FrĂ©nicle de Bessy 346:. It finally appeared as 171: 161: 151: 137: 130: 116: 106: 98: 75: 49: 37: 30: 1389:University of St Andrews 1351:and Jacqueline Stedall, 920:Descartes Correspondance 806: 617: 1313:Encyclopædia Britannica 1022:(1993 edition), p. 271. 847:"John Pell - Biography" 741:. Philip Pell II built 658:An Idea of Mathematicks 234:Steyning Grammar School 156:University of Amsterdam 1333:10.1093/ref:odnb/21802 1199:John T. Young (1998), 747:Pelham Manor, New York 612:St Giles-in-the Fields 476: 385:cantons of Switzerland 44:John Pell (1611–1685). 820:"Pell, John (PL624J)" 689:John Pell's brother, 652:Ecliptica prognostica 641:His chief works are: 608:College of Physicians 539:After the Restoration 477: 425:Diophantine equations 387:; he cooperated with 367:First Anglo-Dutch War 328:Sir Charles Cavendish 324:Bonaventura Cavalieri 302:Academic and diplomat 240:, at the age of 13. 194:Sir Charles Cavendish 21:John Pell (landowner) 1395:Galileo Project page 1375:Robertson, Edmund F. 1203:Aldershot: Ashgate. 1135:Aubrey's Brief Lives 943:Aloysius Martinich, 782:University of Sydney 774:Cambridge University 766:Morris Birkbeck Pell 529:Table of Incomposits 434: 405:Johann Heinrich Rahn 270:, and the legacy of 262:, encyclopedism and 1460:People from Fobbing 1430:Doctors of Divinity 1373:O'Connor, John J.; 945:Hobbes: A Biography 759:William Ferris Pell 600:King's Bench Prison 316:Martin van den Hove 288:Idea of Mathematics 284:mathematical tables 280:theory of equations 1267:The New York Times 1242:on 18 October 2012 1154:on 3 February 2017 778:natural philosophy 772:in mathematics at 751:Stephen Hyatt Pell 628:Westminster School 563:to the rectory of 525:Frans van Schooten 507:in his edition of 485:which is known as 472: 344:Gilles de Roberval 276:universal language 1339:(Subscription or 1186:Nicholas Jolley, 737:and U.S. Senator 727:Lord of the Manor 711:Long Island Sound 586:In 1673 Pell met 531:, an early large 175: 174: 162:Doctoral students 132:Scientific career 1482: 1440:Number theorists 1391: 1344: 1336: 1317: 1296: 1294: 1293: 1278: 1277: 1275: 1273: 1258: 1252: 1251: 1249: 1247: 1238:. Archived from 1227: 1221: 1218: 1212: 1197: 1191: 1184: 1178: 1177: 1171: 1163: 1161: 1159: 1150:. Archived from 1144: 1138: 1128: 1122: 1117: 1111: 1110: 1104: 1096: 1094: 1092: 1087:on 26 March 2009 1086: 1080:. Archived from 1079: 1071: 1065: 1064: 1055: 1049: 1048: 1046: 1044: 1035:. Archived from 1033:"Rahn biography" 1029: 1023: 1013: 1007: 1004: 998: 991: 985: 984: 977: 971: 966:(2000), article 957: 948: 941: 935: 929: 923: 917: 911: 905: 899: 896: 890: 887: 881: 878: 869: 866: 860: 857: 851: 850: 843: 837: 834: 828: 827: 816: 755:Fort Ticonderoga 715:Hutchinson River 493:Pierre de Fermat 481: 479: 478: 473: 468: 467: 449: 448: 421:Teutsche Algebra 414: 397:Sir John Reresby 190:Prince of Orange 166:William Brereton 82: 79:12 December 1685 59: 57: 42: 28: 27: 1490: 1489: 1485: 1484: 1483: 1481: 1480: 1479: 1405: 1404: 1369: 1338: 1306:, ed. (1911). " 1291: 1289: 1286: 1281: 1271: 1269: 1259: 1255: 1245: 1243: 1228: 1224: 1219: 1215: 1198: 1194: 1185: 1181: 1165: 1164: 1157: 1155: 1148:"Archived copy" 1146: 1145: 1141: 1129: 1125: 1118: 1114: 1098: 1097: 1090: 1088: 1084: 1077: 1075:"Archived copy" 1073: 1072: 1068: 1056: 1052: 1042: 1040: 1039:on 12 June 2008 1031: 1030: 1026: 1014: 1010: 1005: 1001: 992: 988: 979: 978: 974: 958: 951: 947:(1999), p. 278. 942: 938: 930: 926: 918: 914: 906: 902: 897: 893: 888: 884: 879: 872: 867: 863: 858: 854: 845: 844: 840: 835: 831: 817: 813: 809: 790: 770:senior wrangler 768:, graduated as 687: 636:British Library 620: 604:Daniel Whistler 561:Gilbert Sheldon 541: 488:Pell's equation 463: 459: 444: 440: 435: 432: 431: 371:Oliver Cromwell 308:William Boswell 304: 212:He was born at 210: 123: 121:Pell's equation 107:Alma mater 94: 84: 80: 71: 61: 55: 53: 45: 33: 24: 17: 12: 11: 5: 1488: 1478: 1477: 1472: 1467: 1462: 1457: 1452: 1447: 1442: 1437: 1432: 1427: 1422: 1417: 1403: 1402: 1397: 1392: 1368: 1367:External links 1365: 1364: 1363: 1345: 1318: 1304:Chisholm, Hugh 1285: 1282: 1280: 1279: 1253: 1222: 1213: 1192: 1190:(2005), p. 17. 1179: 1139: 1123: 1112: 1066: 1050: 1024: 1016:Florian Cajori 1008: 999: 986: 972: 970:, pp. 638–641. 949: 936: 924: 912: 900: 891: 882: 870: 861: 852: 838: 829: 810: 808: 805: 804: 803: 800:Claiborne Pell 797: 789: 786: 739:Claiborne Pell 686: 683: 674: 673: 667: 661: 655: 649: 619: 616: 592:Gabriel Mouton 553:Lambeth degree 540: 537: 509:Thomas Branker 505:Lord Brouncker 483: 482: 471: 466: 462: 458: 455: 452: 447: 443: 439: 389:Samuel Morland 359:Orange College 340:Claude Mydorge 332:RenĂ© Descartes 303: 300: 296:Marin Mersenne 292:Johann Moriaen 249:Samuel Hartlib 209: 206: 198:RenĂ© Descartes 186:Orange College 173: 172: 169: 168: 163: 159: 158: 153: 149: 148: 139: 135: 134: 128: 127: 118: 117:Known for 114: 113: 108: 104: 103: 100: 96: 95: 85: 83:(aged 74) 77: 73: 72: 62: 51: 47: 46: 43: 35: 34: 31: 15: 9: 6: 4: 3: 2: 1487: 1476: 1473: 1471: 1468: 1466: 1463: 1461: 1458: 1456: 1453: 1451: 1448: 1446: 1443: 1441: 1438: 1436: 1433: 1431: 1428: 1426: 1423: 1421: 1418: 1416: 1413: 1412: 1410: 1401: 1398: 1396: 1393: 1390: 1386: 1385: 1380: 1376: 1371: 1370: 1362: 1361:0-19-856484-8 1358: 1354: 1350: 1346: 1342: 1334: 1330: 1326: 1325: 1319: 1315: 1314: 1309: 1305: 1300: 1299:public domain 1288: 1287: 1268: 1264: 1257: 1241: 1237: 1233: 1226: 1217: 1210: 1209:1-84014-282-0 1206: 1202: 1196: 1189: 1183: 1175: 1169: 1153: 1149: 1143: 1136: 1132: 1127: 1121: 1116: 1108: 1102: 1083: 1076: 1070: 1063: 1062: 1054: 1038: 1034: 1028: 1021: 1017: 1012: 1003: 996: 990: 982: 976: 969: 965: 961: 956: 954: 946: 940: 933: 928: 921: 916: 909: 904: 895: 886: 877: 875: 865: 856: 848: 842: 833: 825: 821: 815: 811: 801: 798: 795: 792: 791: 785: 783: 779: 775: 771: 767: 762: 760: 756: 752: 748: 744: 740: 736: 732: 728: 724: 723:Sir John Pell 720: 717:and north to 716: 712: 708: 704: 700: 699:Chief Wampage 696: 692: 682: 679: 672:(fol.; 1672). 671: 668: 665: 662: 659: 656: 653: 650: 647: 644: 643: 642: 639: 637: 633: 632:Royal Society 629: 625: 624:Richard Busby 615: 613: 609: 605: 601: 597: 593: 589: 584: 582: 578: 574: 573:Brereton Hall 570: 566: 562: 558: 554: 550: 546: 536: 534: 530: 526: 522: 518: 517:number theory 514: 510: 506: 502: 498: 494: 490: 489: 469: 464: 460: 456: 453: 450: 445: 441: 437: 430: 429: 428: 426: 422: 418: 410: 409:division sign 406: 401: 398: 394: 390: 386: 383: 379: 374: 372: 368: 364: 360: 356: 351: 349: 345: 341: 337: 336:Thomas Hobbes 333: 329: 326:, his patron 325: 321: 320:Longomontanus 317: 313: 309: 299: 297: 293: 289: 285: 281: 277: 273: 269: 268:combinatorics 265: 261: 256: 254: 253:Bathsua Makin 250: 246: 241: 239: 235: 231: 227: 223: 219: 215: 205: 203: 202:Thomas Hobbes 199: 195: 191: 187: 183: 182:mathematician 179: 170: 167: 164: 160: 157: 154: 150: 147: 143: 142:Mathematician 140: 136: 133: 129: 126: 122: 119: 115: 112: 109: 105: 101: 97: 92: 88: 78: 74: 69: 65: 52: 48: 41: 36: 29: 26: 22: 1382: 1352: 1349:Noel Malcolm 1322: 1311: 1270:. 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Index

John Pell (landowner)

Southwick
Sussex
Westminster
Middlesex
Trinity College, Cambridge
Pell's equation
Pell number
Mathematician
linguist
University of Amsterdam
William Brereton
mathematician
Orange College
Prince of Orange
Sir Charles Cavendish
René Descartes
Thomas Hobbes
Southwick
West Sussex
England
Halden
Thomas Pell
Steyning Grammar School
Trinity College, Cambridge
Henry Briggs
Samuel Hartlib
Bathsua Makin
pedagogy

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