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  • Conference proceedings
  • © 2020

From Analysis to Visualization

A Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017

  • Commemorates the life and mathematical work of Jonathan M. Borwein
  • Provides in depth discussions on 5 prominent fields of mathematics
  • Accessible to students and researchers from a broad swath of mathematics

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 313)

Conference series link(s): JBCC: Jonathan M. Borwein Commemorative Conference

Conference proceedings info: JBCC 2017.

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Table of contents (28 papers)

  1. Front Matter

    Pages i-xxv
  2. Applied Analysis, Optimisation, and Convexity

    1. Front Matter

      Pages 1-1
    2. Introduction

      • Regina S. Burachik, Guoyin Li
      Pages 3-5
    3. Symmetry and the Monotonicity of Certain Riemann Sums

      • David Borwein, Jonathan M. Borwein, Brailey Sims
      Pages 7-20
    4. Characterizations of Robust and Stable Duality for Linearly Perturbed Uncertain Optimization Problems

      • Nguyen Dinh, Miguel A. Goberna, Marco A. López, Michel Volle
      Pages 43-74
    5. Comparing Averaged Relaxed Cutters and Projection Methods: Theory and Examples

      • Reinier Díaz Millán, Scott B. Lindstrom, Vera Roshchina
      Pages 75-98
  3. Education

    1. Front Matter

      Pages 99-99
    2. Introduction

      • Naomi Simone Borwein
      Pages 101-102
    3. On the Educational Legacies of Jonathan M. Borwein

      • Naomi Simone Borwein, Judy-anne Heather Osborn
      Pages 103-131
    4. Origami as a Teaching Tool for Indigenous Mathematics Education

      • Michael Assis, Michael Donovan
      Pages 171-188
    5. Dynamic Visual Models: Ancient Ideas and New Technologies

      • Damir Jungić, Veselin Jungić
      Pages 189-201
    6. A Random Walk Through Experimental Mathematics

      • Eunice Y. S. Chan, Robert M. Corless
      Pages 203-226
  4. Financial Mathematics

    1. Front Matter

      Pages 227-227
    2. Introduction

      • David H. Bailey, Qiji J. Zhu
      Pages 229-231

Other Volumes

  1. From Analysis to Visualization

About this book

Students and researchers from all fields of mathematics are invited to read and treasure this special Proceedings. A conference was held 25 –29 September 2017 at Noah’s On the Beach, Newcastle, Australia, to commemorate the life and work of Jonathan M. Borwein, a mathematician extraordinaire whose untimely passing in August 2016 was a sorry loss to mathematics and to so many members of its community, a loss that continues to be keenly felt.  A polymath, Jonathan Borwein ranks among the most wide ranging and influential mathematicians of the last 50 years, making significant contributions to an exceptional diversity of areas and substantially expanding the use of the computer as a tool of the research mathematician. The contributions in this commemorative volume probe Dr. Borwein's ongoing legacy in areas where he did some of his most outstanding work: Applied Analysis, Optimization and Convex Functions; Mathematics Education; Financial Mathematics; plus Number Theory, Special Functions and Pi, all tinged by the double prisms of Experimental Mathematics  and Visualization, methodologies he championed.

Editors and Affiliations

  • Lawrence Berkeley National Laboratory, Berkeley, USA

    David H. Bailey

  • Western University, London, Canada

    Naomi Simone Borwein

  • Mathematical Sciences Institute, Australian National University, Canberra, Australia

    Richard P. Brent

  • School of IT and Mathematical Sciences, University of South Australia, Mawson Lakes, Australia

    Regina S. Burachik

  • School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, Australia

    Judy-anne Heather Osborn, Brailey Sims

  • Department of Mathematics, Western Michigan University, Kalamazoo, USA

    Qiji J. Zhu

About the editors


Bibliographic Information

  • Book Title: From Analysis to Visualization

  • Book Subtitle: A Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017

  • Editors: David H. Bailey, Naomi Simone Borwein, Richard P. Brent, Regina S. Burachik, Judy-anne Heather Osborn, Brailey Sims, Qiji J. Zhu

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-3-030-36568-4

  • Publisher: Springer Cham

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

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-36567-7Published: 17 March 2020

  • Softcover ISBN: 978-3-030-36570-7Published: 17 March 2021

  • eBook ISBN: 978-3-030-36568-4Published: 16 March 2020

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: XXV, 439

  • Number of Illustrations: 39 b/w illustrations, 32 illustrations in colour

  • Topics: Analysis, Mathematics Education, Quantitative Finance, Number Theory

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
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