{"id":7194,"date":"2020-11-02T13:30:31","date_gmt":"2020-11-02T18:30:31","guid":{"rendered":"https:\/\/notes.math.ca\/article\/short-review-2\/"},"modified":"2020-11-27T14:26:15","modified_gmt":"2020-11-27T19:26:15","slug":"short-review-2","status":"publish","type":"article","link":"https:\/\/notes.math.ca\/fr\/article\/short-review-2\/","title":{"rendered":"Bref compte rendu"},"content":{"rendered":"\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

Book Reviews bring interesting mathematical sciences and education publications drawn from across the entire spectrum of mathematics to the attention of the CMS readership. Comments, suggestions, and submissions are welcome.<\/em><\/p>

Karl Dilcher,\u00a0<\/strong>Dalhousie University (notes-reviews@cms.math.ca<\/a>)<\/em><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

\n\t\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

\"\"From Analysis to Visualization<\/b><\/p>

A Celebration of the Life and Legacy of Jonathan M. Borwein
Edited by David H. Bailey et al.
<\/span>Springer, 2020
<\/span>ISBN: 978-3-030-36567-7<\/span><\/p>

\u00a0<\/span>Reviewed by Karl Dilcher<\/span><\/p>

The late Jon Borwein (1951-2016) spent most of his career in Canada (at Dalhousie, Waterloo, and SFU), during which time he was a strong force in research, education, publishing, and matters of policy and administration. He served for the CMS in numerous capacities, including a term as president from 2000 to 2002; several tributes can be found in the December, 2016, issue of the CMS Notes.<\/p>

Jon spent the last part of his career at the University of Newcastle in Australia, and quickly became as influential in Australian mathematics as he had been in Canadian mathematics. The volume under review contains the proceedings of a conference in Jon\u2019s memory that took place in September, 2017, in Newcastle, NSW. In the interest of full disclosure I must mention that I participated in this event and have a paper published in this volume.<\/p>

The book begins with a detailed preface, the contents of which are best summarized by its section headings: Jonathan Borwein: Mathematician Extraordinaire; A Portrait of the Man as a Mathematician; Nonlinear Analysis and Optimization; Experimental Mathematics; Number Theory, Special Functions and Pi; Mathematical Finance; Mathematical Education and Public Communication; Visualization; and Summary.<\/p>

The research papers in this collection are then organized in four parts, each with an introduction by the relevant edtiors. Part I: Applied Analysis, Optimisation, and Convexity<\/em>, edited by Regina S. Burachik and Guoyin Li, contains the following papers: \u00ab\u00a0Symmetry and the Monotonicity of Certain Riemann Sums,\u00a0\u00bb by David Borwein, Jonathan M. Borwein and Brailey Sims; \u00ab\u00a0Risk and Utility in the Duality Framework of Convex Analysis,\u00a0\u00bb by R. Tyrrell Rockafellar; \u00ab\u00a0Characterizations of Robust and Stable Duality for Linearly Perturbed Uncertain Optimization Problems,\u00a0\u00bb by Nguyen Dinh, Miguel A. Goberna, Marco A. Lo\u0301pez and Michel Volle; \u00ab\u00a0Comparing Averaged Relaxed Cutters and Projection Methods: Theory and Examples,\u00a0\u00bb by Reinier Di\u0301az Milla\u0301n, Scott B. Lindstrom and Vera Roshchina.<\/p>

Part II: Education<\/em> was edited by Naomi Borwein, and contains \u00ab\u00a0On the Educational Legacies of Jonathan M. Borwein,\u00a0\u00bb by Naomi Borwein and Judy-anne Osborn; \u00ab\u00a0How Mathematicians Learned to Stop Worrying and Love the Computer,\u00a0\u00bb by Keith Devlin; \u00ab\u00a0Crossing Boundaries: Fostering Collaboration Between Mathematics Educators and Mathematicians in Initial Teacher Education Programmes,\u00a0\u00bb by Merrilyn Goos; \u00ab\u00a0Mathematics Education in the Computational Age: Challenges and Opportunities,\u00a0\u00bb by Kathryn Holmes; \u00ab\u00a0Mathematics Education for Indigenous Students in Preparation for Engineering and Information Technologies,\u00a0\u00bb by Collin Phillips and Fu Ken Ly; \u00ab\u00a0Origami as a Teaching Tool for Indigenous Mathematics Education,\u00a0\u00bb by Michael Assis and Michael Donovan; \u00ab\u00a0Dynamic Visual Models: Ancient Ideas and New Technologies,\u00a0\u00bb by Damir Jungic\u0301 and Veselin Jungic\u0301; \u00ab\u00a0A Random Walk Through Experimental Mathematics,\u00a0\u00bb by Eunice Y. S. Chan and Robert M. Corless.<\/p>

Part III: Financial Mathematics<\/em> was edited by David H. Bailey and Qiji J. Zhu, and contains the following papers: \u00ab\u00a0A Holistic Approach to Empirical Analysis: The Insignificance of P Hypothesis Testing and Statistical Significance,\u00a0\u00bb by Morris Altman; \u00ab\u00a0Do Financial Gurus Produce Reliable Forecasts,\u00a0\u00bb by David H. Bailey, Jonathan M. Borwein, Amir Salehipour and Marcos Lo\u0301pez de Prado; \u00ab\u00a0Entropy Maximization in Finance,\u00a0\u00bb by Jonathan M. Borwein and Qiji J. Zhu.<\/p>

Part IV: Number Theory, Special Functions, and Pi<\/em>, edited by Richard P. Brent, contains the following papers: \u00ab\u00a0Binary Constant-Length Substitutions and Mahler Measures of Borwein Polynomials,\u00a0\u00bb by Michael Baake, Michael Coons and Neil Man\u0303ibo; \u00ab\u00a0The Borwein Brothers, Pi and the AGM,\u00a0\u00bb by Richard P. Brent; \u00ab\u00a0The Road to Quantum Computational Supremacy,\u00a0\u00bb by Cristian S. Calude and Elena Calude; \u00ab\u00a0Nonlinear Identities for Bernoulli and Euler Polynomials,\u00a0\u00bb by Karl Dilcher; \u00ab\u00a0Metrical Theory for Small Linear Forms and Applications to Interference Alignment,\u00a0\u00bb by Mumtaz Hussain, Seyyed Hassan Mahboubi and Abolfazl Seyed Motahari; \u00ab\u00a0Improved Bounds on Brun\u2019s Constant,\u00a0\u00bb by Dave Platt and Tim Trudgian; \u00ab\u00a0Extending the PSLQ Algorithm to Algebraic Integer Relations,\u00a0\u00bb by Matthew P. Skerritt and Paul Vrbik; \u00ab\u00a0Short Walk Adventures,\u00a0\u00bb by Armin Straub and Wadim Zudilin.<\/p>

This sizeable volume is a fitting tribute to the legacy of Jonathan Borwein, who made enormous and lasting contributions to so many different areas of mathematics and of learning.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"author":6,"template":"","section":[28],"keyword":[],"class_list":["post-7194","article","type-article","status-publish","hentry","section-compes-rendus"],"toolset-meta":{"author-4-info":{"author-4-surname":{"type":"textfield","raw":""},"author-4-given-names":{"type":"textfield","raw":""},"author-4-honorific":{"type":"textfield","raw":""},"author-4-institution":{"type":"textfield","raw":""},"author-4-email":{"type":"email","raw":""},"author-4-cms-role":{"type":"textfield","raw":""}},"author-3-info":{"author-3-surname":{"type":"textfield","raw":""},"author-3-given-names":{"type":"textfield","raw":""},"author-3-honorific":{"type":"textfield","raw":""},"author-3-institution":{"type":"textfield","raw":""},"author-3-email":{"type":"email","raw":""},"author-3-cms-role":{"type":"textfield","raw":""}},"author-2-info":{"author-2-surname":{"type":"textfield","raw":""},"author-2-given-names":{"type":"textfield","raw":""},"author-2-honorific":{"type":"textfield","raw":""},"author-2-institution":{"type":"textfield","raw":""},"author-2-email":{"type":"email","raw":""},"author-2-cms-role":{"type":"textfield","raw":""}},"author-info":{"author-surname":{"type":"textfield","raw":"Dilcher"},"author-given-names":{"type":"textfield","raw":"Karl"},"author-honorific":{"type":"textfield","raw":""},"author-email":{"type":"email","raw":"Karl.Dilcher@Dal.Ca"},"author-institution":{"type":"textfield","raw":""},"author-cms-role":{"type":"textfield","raw":"Book Review Editor"}},"unknown":{"downloadable-pdf":{"type":"file","raw":"https:\/\/notes.math.ca\/wp-content\/uploads\/2020\/11\/Bref-compte-rendu-Notes-de-la-SMC.pdf","attachment_id":7667},"article-toc-weight":{"type":"numeric","raw":"30"},"author-surname":{"type":"textfield","raw":"Dilcher"},"author-given-names":{"type":"textfield","raw":"Karl"}}},"_links":{"self":[{"href":"https:\/\/notes.math.ca\/fr\/wp-json\/wp\/v2\/article\/7194","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/notes.math.ca\/fr\/wp-json\/wp\/v2\/article"}],"about":[{"href":"https:\/\/notes.math.ca\/fr\/wp-json\/wp\/v2\/types\/article"}],"author":[{"embeddable":true,"href":"https:\/\/notes.math.ca\/fr\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":2,"href":"https:\/\/notes.math.ca\/fr\/wp-json\/wp\/v2\/article\/7194\/revisions"}],"predecessor-version":[{"id":7460,"href":"https:\/\/notes.math.ca\/fr\/wp-json\/wp\/v2\/article\/7194\/revisions\/7460"}],"wp:attachment":[{"href":"https:\/\/notes.math.ca\/fr\/wp-json\/wp\/v2\/media?parent=7194"}],"wp:term":[{"taxonomy":"section","embeddable":true,"href":"https:\/\/notes.math.ca\/fr\/wp-json\/wp\/v2\/section?post=7194"},{"taxonomy":"keyword","embeddable":true,"href":"https:\/\/notes.math.ca\/fr\/wp-json\/wp\/v2\/keyword?post=7194"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}