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
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David Pimm Department of Secondary Education 341 Education South University of Alberta Edmonton, AB T6G 2G5 CANADA
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William Higginson Faculty of Education A235 McArthur Hall Queen’s University Kingston, ON K7L 3N6 CANADA
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Editors-in-Chief Rédacteurs-en-chef K. Dilcher K. Taylor Department of Mathematics and Statistics Dalhousie University Halifax, Nova Scotia B3H 3J5 Canada
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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