Knowledge (XXG)

Ivan M. Niven

Source 📝

658: 644: 1074:
Cobb, R. (1967). Calculus: An Introductory Approach. 2nd Edition. (University Series in Undergraduate Mathematics.) By Ivan Niven. Pp. viii, 202. 46s. 6d. 1967. (D. Van Nostrand Co. Ltd.). The Mathematical Gazette, 51(378), 330–330.
31: 1176: 1047:
Kaltenborn, H. S., Reviewed Work: Calculus: An Introductory Approach. by Ivan Niven The American Mathematical Monthly, vol. 69, no. 1, 1962, pp. 69–69. JSTOR, www.jstor.org/stable/2312762.
840: 1065:
Goodstein, R. (1962). Calculus. An introductory approach. By I. Niven. Pp. 169. 36s. 1961. (D. van Nostrand, London). The Mathematical Gazette, 46(358), 333–333. doi:10.2307/3611795
215:. He was a member of the University of Oregon faculty from 1947 to his retirement in 1981. He was president of the Mathematical Association of America (MAA) from 1983 to 1984. 1156: 418: 375: 346: 294: 265: 1166: 1146: 788: 395: 313: 94: 1171: 1151: 607: 589: 571: 553: 527: 509: 192: 1056:
Bishop, R. L., Reviewed Work: Calculus, An Introductory Approach by Ivan Niven Pi Mu Epsilon Journal, vol. 3, no. 5, 1961, pp. 236–236
1191: 1186: 1181: 457:
Niven received the University of Oregon's Charles E. Johnson Award in 1981. He received the MAA Distinguished Service Award in 1989.
486: 1086: 972: 1141: 729: 208: 119: 939: 776: 701: 671: 446: 76: 84: 1161: 866: 139: 1012: 212: 125: 657: 1136: 1131: 461: 188: 154: 914: 427: 231: 184: 72: 896: 746: 663: 497: 431: 80: 603: 585: 567: 549: 523: 505: 482: 164: 624: 1105: 1028: 991: 886: 878: 821: 793: 738: 649: 541: 758: 754: 403: 351: 322: 270: 241: 438: 812:
Erdős, P.; Niven, I. (1946), "Some properties of partial sums of the harmonic series",
380: 298: 219: 1125: 442: 316: 235: 180: 1110: 1033: 996: 826: 798: 915:"AstDyS-2 Asteroids – Dynamic Site – (12513) Niven" 712: 423: 68: 465: 954: 891: 772: 639: 111: 545: 204: 44: 697: 179:(October 25, 1915 – May 9, 1999) was a Canadian-American 900: 750: 30: 841:"Yueh-Gin Gung and Dr. Charles Y. Hu Award for Distinguished Service" 882: 742: 540:. Washington DC: The Mathematical Association of America. 2011 . 977:
by Ivan Niven. Carus Monograph, no. 11: New York, Wiley, 1956"
584:. Washington, DC: Mathematical Association of America. 1965. 267:
such that every positive integer is the sum of at most
602:. Washington, D.C.: Cambridge University Press. 1981. 1177:
Presidents of the Mathematical Association of America
566:. Mineola, N.Y: Dover Publications. 1 January 2008 . 406: 383: 354: 325: 301: 273: 244: 234:
in 1944. This problem, based on a 1770 conjecture by
582:
Mathematics of Choice: How to Count without Counting
947:
Journal of the Royal Astronomical Society of Canada
481:. . The Mathematical Association of America. 1956. 160: 150: 145: 135: 110: 105: 90: 64: 52: 37: 21: 737:(1). The Johns Hopkins University Press: 137–143. 727:(1944). "An unsolved case of the Waring problem". 412: 389: 369: 340: 307: 288: 259: 187:. He worked for many years as a professor at the 348:in 1909; Niven's work established the value of 211:and was awarded his doctorate in 1938 from the 789:Bulletin of the American Mathematical Society 16:Canadian-American number theorist (1915–1999) 8: 468:, discovered in 1998, was named after him. 238:, consists of finding the smallest number 207:. He did his undergraduate studies at the 29: 18: 1109: 1032: 1017:, by Ivan Niven and Herbert S. Zuckerman" 995: 890: 825: 797: 792:, vol. 53, no. 6, p. 509, 405: 382: 353: 324: 300: 272: 243: 195:. He wrote several books on mathematics. 1091:Interscience Publishers, New York, 1963" 1015:An introduction to the theory of numbers 502:An Introduction to the Theory of Numbers 441:of 1 because he coauthored a paper with 230:Niven completed the solution of most of 1157:Canadian emigrants to the United States 687: 623:Donald Albers and G. L. Alexanderson. " 522:. Van Nostrand Reinhold Company. 1966. 1167:University of British Columbia alumni 940:"Asteroids with Canadian connections" 693: 691: 7: 1147:20th-century American mathematicians 496:Niven, Ivan; Zuckerman, Herbert S.; 400:Niven gave an elementary proof that 377:for all but finitely many values of 953:(2): 47, April 2000, archived from 845:Mathematical Association of America 504:. New York: John Wiley & Sons. 319:had proved the existence of such a 193:Mathematical Association of America 600:Maxima and Minima Without Calculus 14: 315:-th powers of positive integers. 656: 642: 538:Numbers: Rational and Irrational 183:best remembered for his work on 1111:10.1090/S0002-9904-1958-10170-6 1034:10.1090/s0002-9904-1961-10603-4 997:10.1090/S0002-9904-1958-10170-6 827:10.1090/s0002-9904-1946-08550-x 799:10.1090/s0002-9904-1947-08821-2 730:American Journal of Mathematics 464:in 1970. In 2000, the asteroid 1011:Whiteman, Albert Leon (1961). 625:A conversation with Ivan Niven 364: 358: 335: 329: 283: 277: 254: 248: 209:University of British Columbia 120:University of British Columbia 1: 702:Mathematics Genealogy Project 631:, 22, 1991, pp. 371–402. 1172:University of Chicago alumni 1152:University of Oregon faculty 629:College Mathematics Journal 191:, and was president of the 1208: 1089:Diophantine Approximations 713:MAA presidents: Ivan Niven 564:Diophantine Approximations 1192:Scientists from Vancouver 1187:Canadian textbook writers 1182:American textbook writers 971:Rosenbaum, R. A. (1959). 445:, on partial sums of the 170: 101: 28: 546:10.5948/upo9780883859193 420:is irrational in 1947. 1142:Canadian mathematicians 85:Eilenberg–Niven theorem 814:Bull. Amer. Math. Soc. 414: 391: 371: 342: 309: 290: 261: 140:Leonard Eugene Dickson 1098:Bull. Amer. Math. Soc 1021:Bull. Amer. Math. Soc 984:Bull. Amer. Math. Soc 867:"Formal power series" 777:"A simple proof that 434:are named for Niven. 415: 392: 372: 343: 310: 291: 262: 213:University of Chicago 126:University of Chicago 865:Niven, Ivan (1969). 462:Lester R. Ford Award 413:{\displaystyle \pi } 404: 381: 370:{\displaystyle g(n)} 352: 341:{\displaystyle g(n)} 323: 299: 289:{\displaystyle g(n)} 271: 260:{\displaystyle g(n)} 242: 189:University of Oregon 155:University of Oregon 95:Lester R. Ford Award 1075:doi:10.2307/3612954 919:newton.spacedys.com 871:Amer. Math. Monthly 498:Montgomery, Hugh L. 218:He died in 1999 in 106:Academic background 975:Irrational Numbers 892:10338.dmlcz/120493 664:Mathematics portal 479:Irrational Numbers 410: 387: 367: 338: 305: 286: 257: 203:Niven was born in 609:978-0-88385-306-1 591:978-0-88385-615-4 573:978-0-486-46267-7 555:978-0-88385-919-3 529:978-0-442-06032-9 511:978-81-265-1811-1 390:{\displaystyle n} 308:{\displaystyle n} 177:Ivan Morton Niven 174: 173: 165:Margaret Maxfield 161:Doctoral students 1199: 1162:Number theorists 1116: 1115: 1113: 1095: 1082: 1076: 1072: 1066: 1063: 1057: 1054: 1048: 1045: 1039: 1038: 1036: 1008: 1002: 1001: 999: 981: 968: 962: 961: 959: 944: 936: 930: 929: 927: 925: 911: 905: 904: 894: 862: 856: 855: 853: 851: 837: 831: 830: 829: 809: 803: 802: 801: 785: 780: 769: 763: 762: 721: 715: 710: 704: 695: 675: 666: 661: 660: 652: 650:Biography portal 647: 646: 645: 613: 595: 577: 559: 533: 515: 492: 428:Niven's constant 419: 417: 416: 411: 396: 394: 393: 388: 376: 374: 373: 368: 347: 345: 344: 339: 314: 312: 311: 306: 295: 293: 292: 287: 266: 264: 263: 258: 232:Waring's problem 185:Waring's problem 136:Doctoral advisor 73:Niven's constant 59: 41:October 25, 1915 33: 19: 1207: 1206: 1202: 1201: 1200: 1198: 1197: 1196: 1122: 1121: 1120: 1119: 1093: 1084: 1083: 1079: 1073: 1069: 1064: 1060: 1055: 1051: 1046: 1042: 1010: 1009: 1005: 979: 970: 969: 965: 957: 942: 938: 937: 933: 923: 921: 913: 912: 908: 883:10.2307/2317940 864: 863: 859: 849: 847: 839: 838: 834: 811: 810: 806: 783: 778: 771: 770: 766: 743:10.2307/2371901 723: 722: 718: 711: 707: 696: 689: 684: 673: 662: 655: 648: 643: 641: 638: 620: 610: 598: 592: 580: 574: 562: 556: 536: 530: 518: 512: 495: 489: 477: 474: 455: 447:harmonic series 432:Niven's theorem 402: 401: 379: 378: 350: 349: 321: 320: 297: 296: 269: 268: 240: 239: 228: 201: 181:number theorist 131: 83: 81:Niven's theorem 79: 75: 71: 57: 48: 42: 24: 17: 12: 11: 5: 1205: 1203: 1195: 1194: 1189: 1184: 1179: 1174: 1169: 1164: 1159: 1154: 1149: 1144: 1139: 1134: 1124: 1123: 1118: 1117: 1077: 1067: 1058: 1049: 1040: 1027:(4): 339–340. 1003: 963: 931: 906: 877:(8): 871–889. 857: 832: 820:(4): 248–251, 804: 781:is irrational" 764: 725:Niven, Ivan M. 716: 705: 686: 685: 683: 680: 679: 678: 668: 667: 653: 637: 634: 633: 632: 619: 618:External links 616: 615: 614: 608: 596: 590: 578: 572: 560: 554: 534: 528: 516: 510: 493: 487: 473: 470: 454: 451: 409: 386: 366: 363: 360: 357: 337: 334: 331: 328: 304: 285: 282: 279: 276: 256: 253: 250: 247: 227: 224: 220:Eugene, Oregon 200: 197: 172: 171: 168: 167: 162: 158: 157: 152: 148: 147: 143: 142: 137: 133: 132: 130: 129: 123: 116: 114: 108: 107: 103: 102: 99: 98: 92: 88: 87: 66: 65:Known for 62: 61: 60:(aged 83) 54: 50: 49: 43: 39: 35: 34: 26: 25: 22: 15: 13: 10: 9: 6: 4: 3: 2: 1204: 1193: 1190: 1188: 1185: 1183: 1180: 1178: 1175: 1173: 1170: 1168: 1165: 1163: 1160: 1158: 1155: 1153: 1150: 1148: 1145: 1143: 1140: 1138: 1135: 1133: 1130: 1129: 1127: 1112: 1107: 1103: 1099: 1092: 1090: 1085:D.S. (1959). 1081: 1078: 1071: 1068: 1062: 1059: 1053: 1050: 1044: 1041: 1035: 1030: 1026: 1022: 1018: 1016: 1007: 1004: 998: 993: 989: 985: 978: 976: 967: 964: 960:on 2005-02-16 956: 952: 948: 941: 935: 932: 920: 916: 910: 907: 902: 898: 893: 888: 884: 880: 876: 872: 868: 861: 858: 846: 842: 836: 833: 828: 823: 819: 815: 808: 805: 800: 795: 791: 790: 782: 774: 768: 765: 760: 756: 752: 748: 744: 740: 736: 732: 731: 726: 720: 717: 714: 709: 706: 703: 699: 698:Ivan M. Niven 694: 692: 688: 681: 677: 676:is irrational 670: 669: 665: 659: 654: 651: 640: 635: 630: 626: 622: 621: 617: 611: 605: 601: 597: 593: 587: 583: 579: 575: 569: 565: 561: 557: 551: 547: 543: 539: 535: 531: 525: 521: 517: 513: 507: 503: 499: 494: 490: 488:0-88385-011-7 484: 480: 476: 475: 471: 469: 467: 463: 458: 452: 450: 448: 444: 440: 435: 433: 429: 425: 424:Niven numbers 421: 407: 398: 384: 361: 355: 332: 326: 318: 317:David Hilbert 302: 280: 274: 251: 245: 237: 236:Edward Waring 233: 225: 223: 221: 216: 214: 210: 206: 198: 196: 194: 190: 186: 182: 178: 169: 166: 163: 159: 156: 153: 149: 146:Academic work 144: 141: 138: 134: 127: 124: 121: 118: 117: 115: 113: 109: 104: 100: 96: 93: 89: 86: 82: 78: 77:Niven's proof 74: 70: 67: 63: 55: 51: 46: 40: 36: 32: 27: 23:Ivan M. Niven 20: 1104:(2): 68–69. 1101: 1097: 1088: 1080: 1070: 1061: 1052: 1043: 1024: 1020: 1014: 1006: 990:(2): 68–69. 987: 983: 974: 966: 955:the original 950: 946: 934: 922:. Retrieved 918: 909: 874: 870: 860: 848:. Retrieved 844: 835: 817: 813: 807: 787: 767: 734: 728: 724: 719: 708: 628: 599: 581: 563: 537: 519: 501: 478: 459: 456: 439:Erdős number 436: 422: 399: 229: 217: 202: 176: 175: 151:Institutions 69:Niven number 58:(1999-05-09) 1137:1999 deaths 1132:1915 births 773:Niven, Ivan 672:Proof that 466:12513 Niven 453:Recognition 56:May 9, 1999 1126:Categories 682:References 443:Paul Erdős 437:He has an 112:Alma mater 1087:"Review: 1013:"Review: 973:"Review: 500:(1991) . 460:He won a 408:π 205:Vancouver 45:Vancouver 850:28 April 775:(1947), 636:See also 520:Calculus 226:Research 47:, Canada 924:3 April 901:2317940 759:0009386 751:2371901 700:at the 899:  757:  749:  606:  588:  570:  552:  526:  508:  485:  430:, and 97:(1970) 91:Awards 1094:(PDF) 980:(PDF) 958:(PDF) 943:(PDF) 897:JSTOR 784:(PDF) 747:JSTOR 472:Books 128:(PhD) 926:2020 852:2024 604:ISBN 586:ISBN 568:ISBN 550:ISBN 524:ISBN 506:ISBN 483:ISBN 199:Life 122:(BA) 53:Died 38:Born 1106:doi 1029:doi 992:doi 887:hdl 879:doi 822:doi 794:doi 739:doi 627:", 542:doi 1128:: 1102:64 1100:. 1096:. 1025:67 1023:. 1019:. 988:64 986:. 982:. 951:94 949:, 945:, 917:. 895:. 885:. 875:76 873:. 869:. 843:. 818:52 816:, 786:, 755:MR 753:. 745:. 735:66 733:. 690:^ 548:. 449:. 426:, 397:. 222:. 1114:. 1108:: 1037:. 1031:: 1000:. 994:: 928:. 903:. 889:: 881:: 854:. 824:: 796:: 779:π 761:. 741:: 674:π 612:. 594:. 576:. 558:. 544:: 532:. 514:. 491:. 385:n 365:) 362:n 359:( 356:g 336:) 333:n 330:( 327:g 303:n 284:) 281:n 278:( 275:g 255:) 252:n 249:( 246:g

Index


Vancouver
Niven number
Niven's constant
Niven's proof
Niven's theorem
Eilenberg–Niven theorem
Lester R. Ford Award
Alma mater
University of British Columbia
University of Chicago
Leonard Eugene Dickson
University of Oregon
Margaret Maxfield
number theorist
Waring's problem
University of Oregon
Mathematical Association of America
Vancouver
University of British Columbia
University of Chicago
Eugene, Oregon
Waring's problem
Edward Waring
David Hilbert
Niven numbers
Niven's constant
Niven's theorem
Erdős number
Paul Erdős

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.