Mathematics And the Aesthetic,9780387305264

Mathematics And the Aesthetic

by ; ;
ISBN13: 9780387305264
ISBN10: 0387305262
Format: Hardcover
Pub. Date: 2006-11-30
Publisher(s): Springer Verlag
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Summary

The essays in this book explore the ancient affinity between the mathematical and the aesthetic, focusing on the fundamental connections between these two modes of reasoning and communicating. From historical, philosophical and psychological perspectives, with particular attention to certain mathematical areas such as geometry and analysis, the authors examine the ways in which the aesthetic is ever present in mathematical thinking and contributes to the growth and value of mathematical knowledge.

Table of Contents

Notes about Authors xiii
Chapter α A Historical Gaze at the Mathematical Aesthetic
Nathalie Sinclair and David Pimm
1(19)
Section A: The Mathematician's Art
Introduction to Section A
20(1)
Chapter 1 Aesthetics for the Working Mathematician
Jonathan M. Borwein
21(20)
Chapter 2 Beauty and Truth in Mathematics
Doris Schattschneider
41(17)
Chapter 3 Experiencing Meanings in Geometry
David W. Henderson and Daina Taimina
58(28)
Section B: A Sense for Mathematics
Introduction to Section B
86(1)
Chapter 4 The Aesthetic Sensibilities of Mathematicians
Nathalie Sinclair
87(18)
Chapter 5 The Meaning of Pattern
Martin Schiralli
105(21)
Chapter 6 Mathematics, Aesthetics and Being Human
William Higginson
126(18)
Section C: Mathematical Agency
Introduction to Section C
144(1)
Chapter 7 Mechanism and Magic in the Psychology of Dynamic Geometry
R. Nicholas Jackiw
145(15)
Chapter 8 Drawing on the Image in Mathematics and Art
David Pimm
160(30)
Chapter 9 Sensible Objects
Dick Tahta
190(33)
Chapter ω Aesthetics and the 'Mathematical Mind'
David Pimm and Nathalie Sinclair
223(32)
References 255(22)
Index of Names 277(4)
Index 281

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