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  • Conference proceedings
  • © 2013

Computational and Analytical Mathematics

In Honor of Jonathan Borwein's 60th Birthday

  • Brings together leading researchers from Analysis, Number Theory and Optimization with a particular emphasis on experimental and computational mathematics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 50)

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Table of contents (31 papers)

  1. Front Matter

    Pages i-xv
  2. Normal Numbers and Pseudorandom Generators

    • David H. Bailey, Jonathan M. Borwein
    Pages 1-18
  3. Champernowne’s Number, Strong Normality, and the X Chromosome

    • Adrian Belshaw, Peter Borwein
    Pages 29-44
  4. Monotone Operators Without Enlargements

    • Jonathan M. Borwein, Regina S. Burachik, Liangjin Yao
    Pages 79-103
  5. A Brøndsted–Rockafellar Theorem for Diagonal Subdifferential Operators

    • Radu Ioan Boţ, Ernö Robert Csetnek
    Pages 105-112
  6. Fast Computation of Bernoulli, Tangent and Secant Numbers

    • Richard P. Brent, David Harvey
    Pages 127-142
  7. Monotone Operator Methods for Nash Equilibria in Non-potential Games

    • Luis M. Briceño-Arias, Patrick L. Combettes
    Pages 143-159
  8. Compactness, Optimality, and Risk

    • B. Cascales, J. Orihuela, M. Ruiz Galán
    Pages 161-218
  9. Logarithmic and Complex Constant Term Identities

    • Tom Chappell, Alain Lascoux, S. Ole Warnaar, Wadim Zudilin
    Pages 219-250
  10. Preprocessing and Regularization for Degenerate Semidefinite Programs

    • Yuen-Lam Cheung, Simon Schurr, Henry Wolkowicz
    Pages 251-303
  11. The Largest Roots of the Mandelbrot Polynomials

    • Robert M. Corless, Piers W. Lawrence
    Pages 305-324
  12. On the Fractal Distribution of Brain Synapses

    • Richard Crandall
    Pages 325-348
  13. Visible Points in Convex Sets and Best Approximation

    • Frank Deutsch, Hein Hundal, Ludmil Zikatanov
    Pages 349-364
  14. On Derivative Criteria for Metric Regularity

    • Asen L. Dontchev, Hélène Frankowska
    Pages 365-374
  15. Convexity and Variational Analysis

    • A. D. Ioffe
    Pages 411-444

About this book

The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics. Having authored more than a dozen books and more than 300 publications, Jonathan Borwein is one of the most productive Canadian mathematicians ever. His research spans pure, applied, and computational mathematics as well as high performance computing, and continues to have an enormous impact: MathSciNet lists more than 2500 citations by more than 1250 authors, and Borwein is one of the 250 most cited mathematicians of the period 1980-1999. He has served the Canadian Mathematics Community through his presidency (2000–02) as well as his 15 years of editing the CMS book series.

Jonathan Borwein’s vision and initiative have been crucial in initiating and developing several institutions that provide support for researchers with a wide range of scientific interests. A few notable examples include the Centre for Experimental and Constructive Mathematics and the IRMACS Centre at Simon Fraser University, the Dalhousie Distributed Research Institute at Dalhousie University, the Western Canada Research Grid, and the Centre for Computer Assisted Research Mathematics and its Applications, University of Newcastle.

The workshops that were held over the years in Dr. Borwein’s honor attracted high-caliber scientists from a wide range of mathematical fields. This present volume is an outgrowth of the workshop on ‘Computational and Analytical Mathematics’ held in May 2011 in celebration of Dr. Borwein’s 60th Birthday. The collection contains various state-of-the-art research manuscripts and surveys presenting contributions that have risen from the conference, and is an excellent opportunity to survey state-of-the-art research and discuss promising research directions and approaches.

Editors and Affiliations

  • Lawrence Berkeley National Laboratory, Berkeley, USA

    David H. Bailey

  • Mathematics, University of British Columbia, Kelowna, Canada

    Heinz H. Bauschke

  • Dept. Mathematics & Statistics, Simon Fraser University, Burnaby, Canada

    Peter Borwein

  • Mathematics, University of Florida, Gainesville, USA

    Frank Garvan

  • Mathematics and Computer Science, University of Limoges, Limoges, France

    Michel Théra

  • Mathematics and Computer Science Department, La Sierra University, Riverside, USA

    Jon D. Vanderwerff

  • Dept. Combinatorics & Optimization, University of Waterloo Faculty of Mathematics, Waterloo, Canada

    Henry Wolkowicz

Bibliographic Information

  • Book Title: Computational and Analytical Mathematics

  • Book Subtitle: In Honor of Jonathan Borwein's 60th Birthday

  • Editors: David H. Bailey, Heinz H. Bauschke, Peter Borwein, Frank Garvan, Michel Théra, Jon D. Vanderwerff, Henry Wolkowicz

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-1-4614-7621-4

  • Publisher: Springer New York, NY

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Science+Business Media New York 2013

  • Hardcover ISBN: 978-1-4614-7620-7Published: 15 September 2013

  • Softcover ISBN: 978-1-4939-4234-3Published: 23 August 2016

  • eBook ISBN: 978-1-4614-7621-4Published: 15 September 2013

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: XV, 701

  • Number of Illustrations: 15 b/w illustrations, 18 illustrations in colour

  • Topics: Number Theory, Functional Analysis, Operator Theory, Operations Research, Management Science

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access