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Peter Borwein

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and classical analysis during his second year of university. He had not previously been interested in math, although his father was the head of the
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After completing a Bachelor of Science in Honours Math at the University of Western Ontario in 1974, he went on to complete an
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wrote the 1989 paper that outlined and popularized a proof for computing one billion digits of π. The authors won the 1993
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In 1993, he moved to Simon Fraser University, joining his brother Jonathan in establishing the
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very rapidly convergent series suitable for high precision numerical calculations
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The Riemann Hypothesis: A Resource for the Afficionado and Virtuoso Alike
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Interdisciplinary Research in the Mathematical and Computational Sciences
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digits of π. This provided a way for mathematicians to determine the
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th digit of π without calculating preceding digits. In 2007 with
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Borwein was born into a Jewish family. He became interested in
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Mathematics of Information Technology and Complex Systems
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University of British Columbia Faculty of Science alumni
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Simon Fraser University Centre for Systems Science bio
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Borwein, J. M.; Borwein, P. B.; Bailey, D. H. (1989).
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Computational Excursions in Analysis and Number Theory
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Centre for Experimental and Constructive Mathematics
197:, Ronald Ferguson, and Richard Lockhart he settled 395:Constructive, Experimental, and Nonlinear Analysis 158:Borwein has developed an algorithm that applies 223:Pacific Institute for the Mathematical Sciences 444:; Ferguson, Ronald; Lockhart, Richard (2008). 625: 100:. He joined the Department of Mathematics at 41:, May 10, 1953 – 23 August 2020) was a 8: 1187:Canadian people of Lithuanian-Jewish descent 565:Notices of the American Mathematical Society 237:prior to 2000. He died on 23 August 2020 of 632: 618: 610: 558:"Peter Borwein: A Visionary Mathematician" 1212:Academic staff of Simon Fraser University 576: 463: 498:Borwein, Peter; Jorgenson, Loki (2001). 143:In 1995, the Borweins collaborated with 339: 259:Polynomials and Polynomial Inequalities 1192:Academic staff of Dalhousie University 104:. While he was there, he, his brother 1232:Neurological disease deaths in Canada 500:"Visible Structures in Number Theory" 173:Peter Borwein also collaborated with 7: 1207:University of Western Ontario alumni 586:SFU news release on Borwein siblings 359:(3). Taylor & Francis: 201–219. 249:As a co-author, Borwein has written 213:, Peter Borwein was affiliated with 299:Visible Structures in Number Theory 546:Peter Borwein's research interests 155:to more than four billion digits. 27:Canadian mathematician (1953–2020) 25: 353:The American Mathematical Monthly 54:Bailey–Borwein–Plouffe algorithm 1227:Deaths from pneumonia in Canada 556:Bailey, David H. (April 2023). 1222:People with multiple sclerosis 1217:Deaths from multiple sclerosis 365:10.1080/00029890.1989.11972169 311:Bailey–Borwein–Plouffe formula 131:(CECM) where he developed the 98:University of British Columbia 1: 600:Mathematics Genealogy Project 403:Canadian Mathematical Society 399:American Mathematical Society 393:. In ThĂ©ra, Michel A. (ed.). 297:for their expository article 283:Canadian Mathematical Society 257:and Jonathan Borwein, 2000), 78:University of Western Ontario 68:First interest in mathematics 465:10.4007/annals.2008.167.1109 271:A Dictionary of Real Numbers 185:to calculate the individual 329:(brother and mathematician) 269:(1987; reprinted in 1998), 233:Borwein was diagnosed with 133:Inverse Symbolic Calculator 1248: 323:(father and mathematician) 273:(with Jonathan Borwein), 648: 487:Peter Borwein dies at 67 177:'s David Bailey and the 1177:Canadian mathematicians 884:W. B. Raymond Lickorish 605:Tamas Erdelyi's website 386:Borwein, Peter (2000). 241:as a result of his MS. 211:Simon Fraser University 50:Simon Fraser University 316:ErdĹ‘s–Borwein constant 209:A former professor at 164:Dirichlet eta function 31:Peter Benjamin Borwein 18:Peter Benjamin Borwein 812:Shreeram S. Abhyankar 451:Annals of Mathematics 160:Chebyshev polynomials 122:Merten M. Hasse Prize 1054:David Shea Vela-Vick 837:1983 No award given. 834:1982 No award given. 295:Lester R. Ford Award 291:Books in Mathematics 179:UniversitĂ© du QuĂ©bec 102:Dalhousie University 1106:Vladimir Pozdnyakov 904:Jonathan M. Borwein 878:David Allen Hoffman 504:Amer. Math. Monthly 401:, on behalf of the 149:University of Tokyo 48:and a professor at 1094:Daniel J. Velleman 888:Kenneth C. Millett 860:James H. Wilkinson 541:Science.ca profile 405:. pp. 29–34. 235:multiple sclerosis 1197:Pi-related people 1182:Jewish scientists 1154: 1153: 1110:J. Michael Steele 1078:Susan H. Marshall 1050:Daniel Pomerleano 1030:Brian J. McCartin 1012:Andrew J. Simoson 1006:GĂĽnter M. Ziegler 960:Carolyn S. Gordon 842:R. Arthur Knoebel 818:Neil J. A. Sloane 806:W. Gilbert Strang 760:Shiing-Shen Chern 742:Joseph P. LaSalle 720:Cornelius Lanczos 684:Saunders Mac Lane 660:T. H. Hildebrandt 591:Borwein's website 412:978-0-8218-2167-1 251:Pi: A Source Book 16:(Redirected from 1239: 1130:Matthew Crawford 1018:Andrew Granville 990:Edward B. Burger 948:Michael I. Rosen 908:Peter B. Borwein 894:Steven G. Krantz 830:Kenneth I. Gross 800:Lawrence Zalcman 714:Richard H. Bruck 634: 627: 620: 611: 582: 580: 578:10.1090/noti2675 562: 528: 527: 495: 489: 484: 478: 477: 467: 458:(3): 1109–1117. 440:Borwein, Peter; 437: 431: 430: 428: 427: 421: 415:. Archived from 392: 383: 377: 376: 344: 327:Jonathan Borwein 255:Lennart Berggren 124:for this paper. 106:Jonathan Borwein 60:) for computing 21: 1247: 1246: 1242: 1241: 1240: 1238: 1237: 1236: 1157: 1156: 1155: 1150: 1146:Jeffrey Whitmer 1116:Travis Kowalski 1082:Donald R. Smith 1002:Florian Pfender 984:Thomas C. Hales 920:Donald G. Saari 900:David H. Bailey 772:François Trèves 766:Norman Levinson 726:Philip J. Davis 644: 641:Chauvenet Prize 638: 560: 555: 537: 532: 531: 516:10.2307/2695413 510:(10): 897–910. 497: 496: 492: 485: 481: 439: 438: 434: 425: 423: 419: 413: 390: 385: 384: 380: 346: 345: 341: 336: 307: 287:Springer-Verlag 247: 231: 207: 201:'s Problem 22. 145:Yasumasa Kanada 141: 118:Chauvenet Prize 110:David H. Bailey 86: 84:Academic career 70: 56:(discovered by 28: 23: 22: 15: 12: 11: 5: 1245: 1243: 1235: 1234: 1229: 1224: 1219: 1214: 1209: 1204: 1199: 1194: 1189: 1184: 1179: 1174: 1169: 1159: 1158: 1152: 1151: 1149: 1148: 1142: 1140:Jonas Eliasson 1136:Kimmo Eriksson 1132: 1122:William Dunham 1118: 1112: 1102: 1096: 1090: 1088:Mark Schilling 1084: 1074: 1072:Dana Mackenzie 1068: 1062: 1056: 1042:Dennis DeTurck 1038: 1032: 1026: 1024:Harold P. Boas 1020: 1014: 1008: 998: 996:John Stillwell 992: 986: 980: 966: 956: 950: 944: 934: 928: 922: 916: 910: 896: 890: 880: 874: 872:Jacob Korevaar 868: 862: 856: 850: 848:Carl Pomerance 844: 838: 835: 832: 826: 820: 814: 808: 802: 796: 786: 780: 774: 768: 762: 756: 750: 744: 734: 728: 722: 716: 710: 704: 698: 692: 686: 680: 674: 672:Dunham Jackson 668: 662: 656: 649: 646: 645: 639: 637: 636: 629: 622: 614: 608: 607: 602: 593: 588: 583: 571:(4): 610–613. 553: 548: 543: 536: 535:External links 533: 530: 529: 490: 479: 442:ErdĂ©lyi, Tamás 432: 411: 378: 338: 337: 335: 332: 331: 330: 324: 318: 313: 306: 303: 267:Pi and the AGM 246: 243: 230: 227: 221:(MITACS), and 206: 203: 140: 137: 85: 82: 69: 66: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 1244: 1233: 1230: 1228: 1225: 1223: 1220: 1218: 1215: 1213: 1210: 1208: 1205: 1203: 1200: 1198: 1195: 1193: 1190: 1188: 1185: 1183: 1180: 1178: 1175: 1173: 1170: 1168: 1165: 1164: 1162: 1147: 1143: 1141: 1137: 1133: 1131: 1127: 1123: 1119: 1117: 1113: 1111: 1107: 1103: 1101: 1097: 1095: 1091: 1089: 1085: 1083: 1079: 1075: 1073: 1069: 1067: 1063: 1061: 1060:Robert Ghrist 1057: 1055: 1051: 1047: 1043: 1039: 1037: 1033: 1031: 1027: 1025: 1021: 1019: 1015: 1013: 1009: 1007: 1003: 999: 997: 993: 991: 987: 985: 981: 979: 975: 971: 970:Ellen Gethner 967: 965: 964:David L. Webb 961: 957: 955: 951: 949: 945: 943: 939: 935: 933: 929: 927: 923: 921: 917: 915: 911: 909: 905: 901: 897: 895: 891: 889: 885: 881: 879: 875: 873: 869: 867: 866:Stephen Smale 863: 861: 857: 855: 851: 849: 845: 843: 839: 836: 833: 831: 827: 825: 821: 819: 815: 813: 809: 807: 803: 801: 797: 795: 791: 787: 785: 781: 779: 775: 773: 769: 767: 763: 761: 757: 755: 751: 749: 745: 743: 739: 735: 733: 729: 727: 723: 721: 717: 715: 711: 709: 708:E. J. McShane 705: 703: 699: 697: 693: 691: 690:R. H. Cameron 687: 685: 681: 679: 678:G. T. Whyburn 675: 673: 669: 667: 663: 661: 657: 655: 651: 650: 647: 642: 635: 630: 628: 623: 621: 616: 615: 612: 606: 603: 601: 597: 596:Peter Borwein 594: 592: 589: 587: 584: 579: 574: 570: 566: 559: 554: 552: 549: 547: 544: 542: 539: 538: 534: 525: 521: 517: 513: 509: 505: 501: 494: 491: 488: 483: 480: 475: 471: 466: 461: 457: 453: 452: 447: 443: 436: 433: 422:on 2011-07-26 418: 414: 408: 404: 400: 396: 389: 382: 379: 374: 370: 366: 362: 358: 354: 350: 343: 340: 333: 328: 325: 322: 321:David Borwein 319: 317: 314: 312: 309: 308: 304: 302: 300: 296: 292: 288: 284: 280: 276: 272: 268: 264: 263:Tamas Erdelyi 260: 256: 252: 244: 242: 240: 236: 229:Personal life 228: 226: 224: 220: 216: 212: 204: 202: 200: 196: 195:Tamás ErdĂ©lyi 192: 188: 184: 183:Simon Plouffe 180: 176: 171: 169: 166:to produce a 165: 161: 156: 154: 150: 146: 138: 136: 134: 130: 125: 123: 119: 115: 111: 107: 103: 99: 95: 91: 83: 81: 79: 75: 74:number theory 67: 65: 63: 59: 58:Simon Plouffe 55: 51: 47: 46:mathematician 44: 40: 36: 32: 19: 1100:Tom Leinster 1046:Herman Gluck 1036:Bjorn Poonen 942:Eric Kostlan 938:Alan Edelman 907: 794:Reuben Hersh 790:Martin Davis 784:Peter D. Lax 778:Carl D. Olds 738:Jack K. Hale 568: 564: 507: 503: 493: 482: 455: 449: 435: 424:. Retrieved 417:the original 394: 381: 356: 352: 342: 298: 290: 278: 274: 270: 266: 258: 250: 248: 245:Publications 232: 208: 205:Affiliations 190: 172: 157: 142: 126: 87: 71: 30: 29: 1172:2020 deaths 1167:1953 births 932:Tom Hawkins 926:Joan Birman 914:Barry Mazur 854:George Miel 824:Heinz Bauer 748:Guido Weiss 732:Leon Henkin 696:Paul Halmos 666:G. H. Hardy 654:G. A. Bliss 187:hexadecimal 151:to compute 35:St. Andrews 1161:Categories 1126:Ezra Brown 1066:Ravi Vakil 978:Brian Wick 974:Stan Wagon 954:Don Zagier 643:recipients 426:2017-11-25 334:References 289:series of 199:Littlewood 373:0002-9890 265:, 1998), 239:pneumonia 754:Mark Kac 702:Mark Kac 305:See also 277:(2002), 225:(PIMS). 139:Research 43:Canadian 39:Scotland 598:at the 524:2695413 474:2415396 162:to the 147:of the 96:at the 1138:& 1128:& 1108:& 1080:& 1052:& 1004:& 976:, and 522:  472:  409:  371:  261:(with 253:(with 33:(born 1144:2024 1134:2023 1120:2022 1114:2021 1104:2020 1098:2019 1092:2018 1086:2017 1076:2016 1070:2015 1064:2014 1058:2013 1040:2012 1034:2011 1028:2010 1022:2009 1016:2008 1010:2007 1000:2006 994:2005 988:2004 982:2003 968:2002 958:2001 952:2000 946:1999 936:1998 930:1997 924:1996 918:1995 912:1994 898:1993 892:1992 882:1991 876:1990 870:1989 864:1988 858:1987 852:1986 846:1985 840:1984 828:1981 822:1980 816:1979 810:1978 804:1977 798:1976 788:1975 782:1974 776:1973 770:1972 764:1971 758:1970 752:1968 746:1967 736:1965 730:1964 724:1963 718:1960 712:1956 706:1953 700:1950 694:1947 688:1944 682:1941 676:1938 670:1935 664:1932 658:1929 652:1925 561:(PDF) 520:JSTOR 454:. 2. 420:(PDF) 391:(PDF) 94:Ph.D. 962:and 940:and 906:and 886:and 792:and 740:and 407:ISBN 369:ISSN 175:NASA 120:and 114:NASA 108:and 92:and 573:doi 512:doi 508:108 460:doi 456:167 361:doi 181:'s 112:of 90:MSc 1163:: 1124:, 1048:, 1044:, 972:, 902:, 569:70 567:. 563:. 518:. 506:. 502:. 470:MR 468:. 448:. 367:. 357:96 355:. 351:. 301:. 135:. 64:. 37:, 633:e 626:t 619:v 581:. 575:: 526:. 514:: 476:. 462:: 429:. 375:. 363:: 285:/ 191:n 153:Ď€ 62:Ď€ 20:)

Index

Peter Benjamin Borwein
St. Andrews
Scotland
Canadian
mathematician
Simon Fraser University
Bailey–Borwein–Plouffe algorithm
Simon Plouffe
Ď€
number theory
University of Western Ontario
MSc
Ph.D.
University of British Columbia
Dalhousie University
Jonathan Borwein
David H. Bailey
NASA
Chauvenet Prize
Merten M. Hasse Prize
Centre for Experimental and Constructive Mathematics
Inverse Symbolic Calculator
Yasumasa Kanada
University of Tokyo
Ď€
Chebyshev polynomials
Dirichlet eta function
very rapidly convergent series suitable for high precision numerical calculations
NASA
Université du Québec

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