From Analysis to Visualization
A Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017
Editors: Bailey, D.H., Borwein, N., Brent, R.P., Burachik, R.S., Osborn, J.-A., Sims, B., Zhu, Q. (Eds.)
Free Preview- 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
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- About this book
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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.
- About the authors
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- Table of contents (28 chapters)
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Introduction
Pages 3-5
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Symmetry and the Monotonicity of Certain Riemann Sums
Pages 7-20
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Risk and Utility in the Duality Framework of Convex Analysis
Pages 21-42
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Characterizations of Robust and Stable Duality for Linearly Perturbed Uncertain Optimization Problems
Pages 43-74
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Comparing Averaged Relaxed Cutters and Projection Methods: Theory and Examples
Pages 75-98
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Table of contents (28 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- From Analysis to Visualization
- Book Subtitle
- A Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017
- Editors
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- David H. Bailey
- Naomi Borwein
- Richard P. Brent
- Regina S. Burachik
- Judy-Anne Osborn
- Brailey Sims
- Qiji Zhu
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Series Volume
- 313
- Copyright
- 2020
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-36568-4
- DOI
- 10.1007/978-3-030-36568-4
- Hardcover ISBN
- 978-3-030-36567-7
- Series ISSN
- 2194-1009
- Edition Number
- 1
- Number of Pages
- XXV, 439
- Number of Illustrations
- 39 b/w illustrations, 32 illustrations in colour
- Topics
