Mathematics And The Aesthetic: New Approaches To An Ancient Affinity (cms Books In Mathematics)

Canadian Mathematical Society Société mathématique du Canada Editors-in-Chief Rédacteurs-en-chef K. Dilcher K. Taylor Advisory Board Comité consultatif P. Borwein R. Kane S. Shen CMS Books in Mathematics Ouvrages de mathématiques de la SMC 1 HERMAN/KUCˇ ERA/Sˇ IMSˇ A 2 ARNOLD Sets Equations and Inequalities Abelian Groups and Representations of Finite Partially Ordered 3 BORWEIN/LEWIS Convex Analysis and Nonlinear Optimization, 2nd Ed. 4 LEVIN/LUBINSKY Orthogonal Polynomials for Exponential Weights 5 KANE Reflection Groups and Invariant Theory 6 PHILLIPS Two Millennia of Mathematics 7 DEUTSCH Best Approximation in Inner Product Spaces 8 FABIAN ET AL. Functional Analysis and Infinite-Dimensional Geometry 9 KRˇ ÍZˇ EK/LUCA/SOMER 17 Lectures on Fermat Numbers 10 BORWEIN Computational Excursions in Analysis and Number Theory 11 REED/SALES (Editors) Recent Advances in Algorithms and Combinatorics ˇ IMˇSA 12 HERMAN/KUCˇ ERA /S Counting and Configurations 13 NAZARETH Differentiable Optimization and Equation Solving 14 PHILLIPS Interpolation and Approximation by Polynomials 15 BEN-ISRAEL/GREVILLE 16 ZHAO Generalized Inverses, 2nd Ed. Dynamical Systems in Population Biology 17 GÖPFERT ET AL. Variational Methods in Partially Ordered Spaces 18 AKIVIS/GOLDBERG Gauss Maps Differential Geometry of Varieties with Degenerate 19 MIKHALEV/SHPILRAIN /YU Combinatorial Methods 20 BORWEIN/ZHU Techniques of Variational Analysis 21 VAN BRUMMELEN/KINYON Mathematics and the Historian’s Craft 22 LUCCHETTI Convexity and Well-Posed Problems 23 NICULESCU/PERSSON Convex Functions and Their Applications 24 SINGER Duality for Nonconvex Approximation and Optimization 25 SINCLAIR/PIMM/HIGGINSON Mathematics and the Aesthetic Nathalie Sinclair, David Pimm and William Higginson (Eds.) Mathematics and the Aesthetic New Approaches to an Ancient Affinity Nathalie Sinclair Department of Mathematics D216 Wells Hall Michigan State University East Lansing, MI 48824 USA [email protected] David Pimm Department of Secondary Education 341 Education South University of Alberta Edmonton, AB T6G 2G5 CANADA [email protected] William Higginson Faculty of Education A235 McArthur Hall Queen’s University Kingston, ON K7L 3N6 CANADA [email protected] Editors-in-Chief Rédacteurs-en-chef K. Dilcher K. Taylor Department of Mathematics and Statistics Dalhousie University Halifax, Nova Scotia B3H 3J5 Canada [email protected] Cover illustration: William Blake’s “The Ancient of Days” © The Trustees of the British Museum Mathematics Subject Classification (2000): 00A30 Library of Congress Control Number: 2006926457 ISBN-10: 0-387-3