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James Lockhart (banker)

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A Biographical Dictionary of the Living Authors of Great Britain and Ireland: Comprising Literary Memoirs and Anecdotes of Their Lives, and a Chronological Register of Their Publications, with the Number of Editions Printed; Including Notices of Some Foreign Writers Whose Works Have Been Occasionally
391:"The Parliamentary History of the County of Oxford, including the city and university of Oxford, and the boroughs of Banbury, Burford, Chipping Norton, Dadington, Witney, and Woodstock, from the earliest times to the present day, 1213-1899, with biographical and genealogical notices of the members" 149:
for separation of roots was given in 1842, by James R. Christie; it was noted by Young. In 1843 Young commented that Budan's approach, and Lockhart's own ideas, could now be simplified on the basis of recent developments, which had led to
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Lockhart proposed challenge problems on the separation of the roots of equations of degree five and six, some being published in 1841. He was still writing on the theory of equations while in Argyllshire. The challenges were considered by
229:, he had three daughters and a son. With his second wife Elizabeth, whom he married in 1805, he had six sons and two daughters; she died in 1843 at age 56. Lockhart's children included: 725:
Resolution of Two Equations. Being a homage to the memory of the founders and benefactors of the University of Oxford, at the Commemoration held on the 12th of June, 1839
53:, in his father's firm Lockhart, Wallace, & Co. He became a partner, and set up the Cattle Insurance Company. Retiring from the bank in 1799, he moved north to the 670:
Nieuwe en algemeene leerwijze om biquadraten op te lossen waarbij de systemas van Descartes en Euler tot biquadraten met derzelver tweede termen worden voortgezet
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Nieuwe en algemeene leerwijze om biquadraten op te lossen waarbij de systemas van Descartes en Euler tot biquadraten met derzelver tweede termen worden voortgezet
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He was one of three children and two sons of James Lockhart (1735–1814), a Scottish banker, and his wife Mary Harriot Gray or Grey, from a Quaker family;
775:"The County Families of the United Kingdom; or, Royal manual of the titled and untitled aristocracy of England, Wales, Scotland, and Ireland ." 704:
Extension of the celebrated theorem of C. Sturm, whereby the roots of numeral equations may be separated from each other, with copious examples
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Extension of the celebrated theorem of C. Sturm, whereby the roots of numeral equations may be separated from each other, with copious examples
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The Complete Solution of Numerical Equations: in Which, by One Uniform Process, the Imaginary as Well as the Real Roots are Easily Determined
510:"A History of the Arithmetical Methods of Approximation to the Roots of Numerical Equations of one Unknown Quantity Part III Modern Times" 68:, and the idea for Combe's "Dr Syntax" has been attributed to him. He taught mathematics to his own children, and pupils including 338: 839: 139: 687:
Nieuwe oplossing van cubiek-vergelykingen door juiste uitdrukkingen, en ook bij nadering, zonder beproeving of gissing
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Nieuwe oplossing van cubiek-vergelykingen door juiste uitdrukkingen, en ook bij nadering, zonder beproeving of gissing
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in 1837. After a legal case on his brother's will, the estate at Cowley was sold in 1841. He moved to
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was his brother, and the daughter was Mary Harriett, married name Greenwollers. He was educated at
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A Method of Approximating Towards the Roots of Cubic Equations Belonging to the Irreducible Case
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A Method of Approximating Towards the Roots of Cubic Equations Belonging to the Irreducible Case
829: 801: 634: 471: 455: 439: 322: 306: 862: 552: 255: 985: 620: 1035: 1030: 35: 8: 702: 590: 226: 757: 569: 610: 151: 146: 135: 23: 488: 154:. Young also commended books by Lockhart in discussing a problem on roots proposed by 858:
The Story of the "Domus Dei" of Portsmouth, Commonly Called The Royal Garrison Church
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James, the eldest son, a barrister and poet; James Augustus Lockhart, officer in the
83:. He returned to England on the death in 1835 of his brother John, who left no heir. 75:
For about 15 years Lockhart and his family resided in the Netherlands, from 1819, in
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Lockhart married twice. With his first wife, Mary Coxe, daughter of Leonard Coxe of
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Miles, who married Anna Rebecca Charlotte, daughter of Major Robert Stewart of the
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noted an analysis by Young of an equation proposed by Lockhart, in a book of 1849.
99: 95: 614: 425: 984:: Volume 4, ed. William Page (London, 1911), pp. 510–511. British History Online 740: 723: 685: 668: 651: 61: 538: 554:
The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science
248: 163: 131: 91: 39: 1024: 903:"Nicolaas Beets, Het dagboek van de student Nicolaas Beets, 1833-1836 Β· dbnl" 65: 222: 159: 110: 43: 616:
Mathematical Dissertations, for the Use of Students in the Modern Analysis
238: 114: 69: 532: 418: 54: 87: 343:(1765–1835), of Great Haseley, Oxon., History of Parliament Online" 118: 487:
Thomas Stephen Davies; Stephen Fenwick; William Rutheford (1850).
399:. Brecknock: Priv. Print. for the author by E. Davies. p. 131 592:
Theory and Solution of Algebraical Equations of the Higher Orders
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Resolution of Equations by Means of Inferior and Superior Limits
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Researches respecting the Imaginary Roots of Numerical Equations
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Resolution of Equations by Means of Inferior and Superior Limits
106: 76: 162:. Lockhart and Young then influenced the subsequent work of 986:
http://www.british-history.ac.uk/vch/hants/vol4/pp510-511
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The Quarterly Journal of Pure and Applied Mathematics
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Taking a lease on shooting on the Scottish island of
64:, and stated he had learned from him. He knew also 934:. Edinburgh: Maclachlan & Stewart. p. 150 854: 609: 588: 530: 308:Monthly Notices of the Royal Astronomical Society 117:mansion. He moved in 1851 to Clitsome House near 98:. In 1847 his address was given as Lanhams, near 1022: 827: 121:in Somerset. He died there the following year. 22:(1763–1852) was an English banker who wrote on 759:The Nature of the Roots of Numerical Equations 755: 738: 721: 700: 683: 666: 649: 324:The Gentleman's Magazine and Historical Review 237:, killed at age 21 on 8 September 1855 in the 210:The Nature of the Roots of Numerical Equations 524: 169:Lockhart's books were mostly self-published: 567: 311:. Priestley and Weale. 1853. pp. 112–. 821: 962:. Hongkong: China Mail. 1906. p. 204 954:"Who's who in the Far East, 1906–7, June" 557:. Taylor & Francis. 1842. p. 99. 441:Memoirs of the Royal Astronomical Society 388: 327:. J.H. and J. Parker. 1866. p. 198. 57:area after the death of his first wife. 923: 772: 301: 299: 297: 295: 293: 291: 289: 287: 285: 283: 109:, Lockhart spent time from 1845 on the 1023: 507: 145:Detailed analysis of a quintic using 982:A History of the County of Hampshire 280: 247:(1812–1889), a writer and friend of 782:. London: R. Hardwicke. p. 593 90:, Lockhart moved to the rectory at 13: 980:'Parishes: Sherfield English', in 806:. F. Jefferies. 1843. p. 104. 460:. W. Pickering. 1852. p. 215. 14: 1057: 389:Williams, William Retlaw (1899). 265:Maria, who married John Smith of 225:, a dispossessed loyalist of the 991: 974: 946: 917: 895: 869: 848: 831:Mid-Victorian Poetry, 1860-1879 810: 794: 766: 749: 732: 715: 694: 677: 660: 643: 627: 603: 582: 561: 545: 512:. Colorado College. p. 234 501: 480: 424:. Henry Colburn. 1816. p.  134:to have influenced the work of 49:Lockhart worked as a banker in 834:. A&C Black. p. 280. 817:s:Page:Men-at-the-Bar.djvu/319 464: 448: 432: 411: 382: 356: 331: 315: 260:James Haldane Stewart Lockhart 1: 476:. G. Bell. 1845. p. 165. 924:Stewart, John H. J. (1880). 883:. 27 October 1855. p. 5 574:. Souter & Law. p.  7: 877:"The Late Captain Lockhart" 855:Henry Press Wright (1873). 589:John Radford Young (1843). 531:William Rutherford (1849). 370:. 4 October 1851. p. 1 198:Resolution of Two Equations 10: 1062: 595:. Souter and Law. p.  828:Catherine Reilly (2000). 216: 1005:. 29 May 1828. p. 3 803:The Gentleman's Magazine 773:Walford, Edward (1868). 619:. John Souter. pp.  508:Cajori, Florian (1910). 457:The Gentleman's Magazine 364:"To be premptorily sold" 273: 124: 756:James Lockhart (1850). 739:James Lockhart (1842). 722:James Lockhart (1839). 701:James Lockhart (1839). 684:James Lockhart (1825). 667:James Lockhart (1823). 650:James Lockhart (1813). 267:Ellingham Hall, Norfolk 29: 1046:English mathematicians 707:. the Author. p.  690:. erven FranΓ§ois Bohn. 113:. He then lived in an 861:. J. Parker. p.  341:Lockhart, John Ingram 639:. 1862. p. 240. 568:J. R. Young (1844). 444:. 1847. p. 573. 421:Published in England 36:John Ingram Lockhart 926:"Stewarts of Appin" 881:Hampshire Chronicle 762:. C. and J. Adlard. 493:. G. Bell. p.  368:Berkshire Chronicle 227:American Revolution 611:John Radford Young 140:William Rutherford 136:John Radford Young 24:numerical analysis 1003:Westmeath Journal 841:978-0-7201-2318-0 490:The Mathematician 473:The Mathematician 51:Pall Mall, London 1053: 1015: 1014: 1012: 1010: 995: 989: 978: 972: 971: 969: 967: 959:Internet Archive 950: 944: 943: 941: 939: 931:Internet Archive 921: 915: 914: 912: 910: 899: 893: 892: 890: 888: 873: 867: 866: 852: 846: 845: 825: 819: 814: 808: 807: 798: 792: 791: 789: 787: 779:Internet Archive 770: 764: 763: 753: 747: 746: 736: 730: 729: 719: 713: 712: 698: 692: 691: 681: 675: 674: 664: 658: 657: 647: 641: 640: 631: 625: 624: 607: 601: 600: 586: 580: 579: 565: 559: 558: 549: 543: 542: 528: 522: 521: 519: 517: 505: 499: 498: 484: 478: 477: 468: 462: 461: 452: 446: 445: 436: 430: 429: 415: 409: 408: 406: 404: 396:Internet Archive 386: 380: 379: 377: 375: 360: 354: 353: 351: 349: 335: 329: 328: 319: 313: 312: 303: 100:Braintree, Essex 86:Living first at 1061: 1060: 1056: 1055: 1054: 1052: 1051: 1050: 1041:English bankers 1021: 1020: 1019: 1018: 1008: 1006: 997: 996: 992: 979: 975: 965: 963: 952: 951: 947: 937: 935: 922: 918: 908: 906: 901: 900: 896: 886: 884: 875: 874: 870: 853: 849: 842: 826: 822: 815: 811: 800: 799: 795: 785: 783: 771: 767: 754: 750: 737: 733: 720: 716: 699: 695: 682: 678: 665: 661: 648: 644: 633: 632: 628: 608: 604: 587: 583: 566: 562: 551: 550: 546: 529: 525: 515: 513: 506: 502: 485: 481: 470: 469: 465: 454: 453: 449: 438: 437: 433: 417: 416: 412: 402: 400: 387: 383: 373: 371: 362: 361: 357: 347: 345: 337: 336: 332: 321: 320: 316: 305: 304: 281: 276: 219: 152:Sturm's theorem 147:Budan's theorem 127: 62:Walking Stewart 32: 17: 12: 11: 5: 1059: 1049: 1048: 1043: 1038: 1033: 1017: 1016: 990: 973: 945: 916: 894: 868: 847: 840: 820: 809: 793: 765: 748: 731: 714: 693: 676: 659: 642: 626: 623:–60 and notes. 602: 581: 560: 544: 523: 500: 479: 463: 447: 431: 410: 381: 355: 330: 314: 278: 277: 275: 272: 271: 270: 263: 262:was their son. 252: 249:Nicolaas Beets 242: 218: 215: 214: 213: 207: 201: 195: 189: 183: 177: 164:Rehuel Lobatto 132:Florian Cajori 126: 123: 60:Lockhart knew 40:Reading School 31: 28: 20:James Lockhart 16:English banker 15: 9: 6: 4: 3: 2: 1058: 1047: 1044: 1042: 1039: 1037: 1034: 1032: 1029: 1028: 1026: 1004: 1000: 994: 987: 983: 977: 961: 960: 955: 949: 933: 932: 927: 920: 904: 898: 882: 878: 872: 864: 860: 859: 851: 843: 837: 833: 832: 824: 818: 813: 805: 804: 797: 781: 780: 776: 769: 761: 760: 752: 744: 743: 735: 728:. the Author. 727: 726: 718: 710: 706: 705: 697: 689: 688: 680: 672: 671: 663: 655: 654: 646: 638: 637: 630: 622: 618: 617: 612: 606: 598: 594: 593: 585: 577: 573: 572: 564: 556: 555: 548: 540: 536: 535: 527: 511: 504: 496: 492: 491: 483: 475: 474: 467: 459: 458: 451: 443: 442: 435: 427: 423: 422: 414: 398: 397: 392: 385: 369: 365: 359: 344: 342: 334: 326: 325: 318: 310: 309: 302: 300: 298: 296: 294: 292: 290: 288: 286: 284: 279: 268: 264: 261: 257: 256:94th Regiment 253: 250: 246: 243: 240: 236: 235:41st Regiment 232: 231: 230: 228: 224: 211: 208: 205: 202: 199: 196: 193: 190: 187: 184: 181: 178: 175: 172: 171: 170: 167: 165: 161: 157: 153: 148: 143: 141: 137: 133: 122: 120: 116: 112: 108: 103: 101: 97: 93: 89: 84: 82: 78: 73: 71: 67: 66:William Combe 63: 58: 56: 52: 47: 45: 41: 37: 27: 25: 21: 1007:. Retrieved 1002: 993: 981: 976: 964:. Retrieved 957: 948: 936:. Retrieved 929: 919: 907:. Retrieved 897: 885:. Retrieved 880: 871: 857: 850: 830: 823: 812: 802: 796: 784:. Retrieved 777: 768: 758: 751: 741: 734: 724: 717: 703: 696: 686: 679: 669: 662: 652: 645: 635: 629: 615: 605: 591: 584: 570: 563: 553: 547: 533: 526: 514:. Retrieved 503: 489: 482: 472: 466: 456: 450: 440: 434: 419: 413: 401:. Retrieved 394: 384: 372:. Retrieved 367: 358: 346:. Retrieved 340: 333: 323: 317: 307: 241:was his son. 223:Philadelphia 220: 209: 203: 197: 191: 185: 179: 173: 168: 160:Silius Titus 144: 128: 111:Isle of Skye 104: 85: 74: 59: 48: 44:Eton College 33: 19: 18: 1036:1852 deaths 1031:1763 births 999:"Marriages" 745:. Lockhart. 245:John Ingram 239:Crimean War 115:Argyllshire 70:Joshua King 1025:Categories 905:(in Dutch) 537:. p.  55:Windermere 156:John Pell 88:Aylesbury 79:and then 613:(1841). 269:in 1828. 119:Washford 96:Brompton 1009:6 April 966:6 April 938:6 April 909:6 April 887:6 April 786:6 April 578:, note. 516:6 April 403:6 April 374:6 April 348:6 April 81:Haarlem 838:  217:Family 212:(1850) 206:(1842) 200:(1839) 194:(1839) 188:(1825) 182:(1823) 176:(1813) 107:Raasay 92:Cowley 77:Leyden 274:Notes 125:Works 1011:2016 968:2016 940:2016 911:2016 889:2016 836:ISBN 788:2016 518:2016 405:2016 376:2016 350:2016 42:and 30:Life 621:159 597:245 495:223 426:208 158:to 1027:: 1001:. 956:. 928:. 879:. 863:78 576:55 539:20 393:. 366:. 282:^ 258:; 166:. 138:; 102:. 72:. 46:. 26:. 1013:. 988:. 970:. 942:. 913:. 891:. 865:. 844:. 790:. 711:. 709:1 673:. 656:. 599:. 541:. 520:. 497:. 428:. 407:. 378:. 352:. 339:" 251:.

Index

numerical analysis
John Ingram Lockhart
Reading School
Eton College
Pall Mall, London
Windermere
Walking Stewart
William Combe
Joshua King
Leyden
Haarlem
Aylesbury
Cowley
Brompton
Braintree, Essex
Raasay
Isle of Skye
Argyllshire
Washford
Florian Cajori
John Radford Young
William Rutherford
Budan's theorem
Sturm's theorem
John Pell
Silius Titus
Rehuel Lobatto
Philadelphia
American Revolution
41st Regiment

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