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Jonathan Borwein information


Jonathan Michael Borwein
Born(1951-05-20)20 May 1951
St. Andrews, Scotland
Died2 August 2016(2016-08-02) (aged 65)
Known forExperimental mathematics, expert on pi, optimization, number theory, functional analysis
Scientific career
FieldsMathematics

Jonathan Michael Borwein (20 May 1951 – 2 August 2016)[1][2] was a Scottish mathematician who held an appointment as Laureate Professor of mathematics at the University of Newcastle, Australia. He was a close associate of David H. Bailey, and they have been prominent public advocates of experimental mathematics.

Borwein's interests spanned pure mathematics (analysis), applied mathematics (optimization), computational mathematics (numerical and computational analysis), and high performance computing. He authored ten books, including several on experimental mathematics,[3] a monograph on convex functions, and over 400 refereed articles.[4] He was a co-founder in 1995 of software company MathResources,[5] consulting and producing interactive software primarily for school and university mathematics. He was not associated with MathResources at the time of his death.

Borwein was also an expert on the number pi and especially its computation.[6][7]

  1. ^ "CV". Archived from the original on 18 December 2014. Retrieved 25 April 2011.
  2. ^ "Jonathan Borwein dies at 65". experimentalmath.info. Math Drudge. Retrieved 16 November 2022.
  3. ^ "Books on Experimental Mathematics". www.experimentalmath.info. Retrieved 16 November 2022.
  4. ^ Brent, Richard (31 October 2021). "Jonathan Michael Borwein 1951 − 2016: Life and Legacy". Maple Transactions. 1 (2). arXiv:2107.06030. doi:10.5206/mt.v1i2.14358. ISSN 2564-3029.
  5. ^ Bailey, David H.; Borwein, Jonathan M.; Kapoor, Vishaal; Weisstein, Eric W. (1 June 2006). "Ten Problems in Experimental Mathematics". The American Mathematical Monthly. 113 (6): 481–509. doi:10.2307/27641975. hdl:1959.13/928097.
  6. ^ "Archimedes' constant pi". numbers.computation.free.fr. Retrieved 16 November 2022.
  7. ^ Brent, Richard P. (2020). "The Borwein Brothers, Pi and the AGM". From Analysis to Visualization. Vol. 313. Cham: Springer International Publishing. p. 323–347. doi:10.1007/978-3-030-36568-4_21. ISBN 978-3-030-36567-7.

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Gradient descent

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Analysis (2nd ed.). Pergamon Press. ISBN 0-08-023036-9. Barzilai, Jonathan; Borwein, Jonathan M. (1988). "Two-Point Step Size Gradient Methods". IMA Journal...

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The Princeton Companion to Mathematics

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IBM-7090 computer. 1987 — Yasumasa Kanada, David Bailey, Jonathan Borwein, and Peter Borwein use iterative modular equation approximations to elliptic...

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proves Ribet's theorem. 1987 – Yasumasa Kanada, David Bailey, Jonathan Borwein, and Peter Borwein use iterative modular equation approximations to elliptic...

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Ludolph van Ceulen

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America". www.maa.org. Retrieved 2022-12-31. Berggren, J. L.; Borwein, Jonathan; Borwein, Peter (2014). Pi: A Source Book (Third ed.). New York: Springer...

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Algebraic statistics

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University of Waterloo Faculty of Mathematics

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