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From Analysis to Visualization A Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017
Title
From Analysis to Visualization [electronic resource] : A Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017 / edited by David H. Bailey, Naomi Simone Borwein, Richard P. Brent, Regina S. Burachik, Judy-anne Heather Osborn, Brailey Sims, Qiji J. Zhu.
ISBN
9783030365684
Edition
1st ed. 2020.
Publication
Cham : Springer International Publishing : Imprint: Springer, 2020.
Physical Description
1 online resource (XXIII, 439 p.) 71 illus., 32 illus. in color.
Local Notes
Access is available to the Yale community.
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Access restricted by licensing agreement.
Summary
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.
Variant and related titles
Springer ENIN.
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Format
Books / Online
Language
English
Added to Catalog
March 25, 2020
Series
Springer Proceedings in Mathematics & Statistics, 313
Contents
Section I: Applied Analysis, Optimisation, and Convexity
Burachik, R. and Li, G: Introduction .-Borwein, D., Borwein, J. M., and Sims, B: Symmetry and the Monotonicity of Certain Riemann Sums.-Rockafellar, R. T.: Risk and Utility in the Duality Framework of Convex Analysis
Dinh, N., Goberna, M. A., and Volle, M: Characterizations of robust and stable duality for linearly perturbed uncertain optimization problems .-Millán, R. D., Lindstrom, S. B., and Roshchina, V: Comparing Averaged Relaxed Cutters and Projection Methods: Theory and Examples
Section II: Education
Borwein, N. S.: Introduction
Borwein, N. S. and Osborn, J-a. H: On the Educational Legacies of Jonathan M. Borwein
Devlin, K.: How Mathematicians Learned to Stop Worrying and Love the Computer
Goos, M.: Crossing Boundaries: Fostering Collaboration between Mathematics Educators and Mathematicians in Initial Teacher Education Programs
Holmes, K.: Mathematics Education in the Computational Age: Challenges and Opportunities
Phillips, C. and Ly, F. K: Mathematics Education for Indigenous Students in Preparation for Engineering and Information Technologies
Assis, M. and Donovan, M: Origami as a Teaching Tool for Indigenous Mathematics Education
Jungić, D. and Jungić, V.: Dynamic Visual Models: Ancient Ideas and New
Chan, E. Y. S. and Corless, R. M: A Random Walk Through Experimental Mathematics
Section III: Financial Mathematics
Bailey, D. and Zhu, Q. J: Introduction
Altman, M.: A Holistic Approach to Empirical Analysis: The Insignificance of P, Hypothesis Testing, and Statistical Significance
Bailey, D. H, Borwein, J. M, Salehipour, A. and Prado, M. L: Do Financial Gurus Produce Reliable Forecasts?
Borwein, J. M and Zhu, Q. J: Entropy Maximization in Finance
Section IV: Number Theory, Special Functions, and Pi
Brent, R.: Introduction
Baake, M., Coons, M, and Mañibo, N: Binary Constant-Length Substitutions and Mahler Measures of Borwein Polynomials
Brent, R.: The Borwein Brothers, Pi and the AGM
Calude, C. S. and Calude, E: The Road to Quantum Computational Supremacy
Dilcher, Karl.: Nonlinear Identities for Bernoulli and Euler Polynomials
Hussain, M. Mahboubi, S. H. and Motahari, A. S: Metrical Theory for Small Linear Forms and Applications to Interference Alignment
Platt, D. and Trudgian, T: Improved Bounds on Brun’s Constant
Skerritt, M. P. and Vrbik, P: Extending the PSLQ Algorithm to Algebraic Integer Relations
Straub, A. and Zudilin, W: Short Walk Adventures.
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