226234

Springer, Dordrecht

2007

288 Pages

ISBN 978-0-387-30526-4

CMS Books in Mathematics

Mathematics and the aesthetic

new approaches to an ancient affinity

Edited by

Nathalie Sinclair , David Pimm, William Higginson

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.

This book includes the following essays:

• A Historical Gaze atthe Mathematical Aesthetic, by Nathalie Sinclair and David Pimm

• Aesthetics for the Working Mathematician, by Jonathan M. Borwein

• Beauty and Truth in Mathematics, by Doris Schattschneider

• Experiencing Meanings in Geometry, by David W. Henderson and Daina Taimina

• The Aesthetic Sensibilities of Mathematicians, by Nathalie Sinclair

• The Meaning of Pattern, by Martin Schiralli

• Mathematics, Aesthetics and Being Human, by William Higginson

• Mechanism and Magic in the Psychology of Dynamic Geometry, by R. Nicholas Jackiw

• Drawing on the Image in Mathematics and Art, by David Pimm

• Sensible Objects, by Dick Tahta

• Aesthetics and the "Mathematical Mind", by David Pimm and Nathalie Sinclair

Publication details

DOI: 10.1007/978-0-387-38145-9

Full citation:

Sinclair, N. , Pimm, D. , Higginson, W. (eds) (2007). Mathematics and the aesthetic: new approaches to an ancient affinity, Springer, Dordrecht.

Table of Contents

A historical gaze at the mathematical aesthetic

Sinclair Nathalie; Pimm David

1-17

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Aesthetics for the working mathematician

Borwein Jonathan M.

21-40

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Beauty and truth in mathematics

Schattschneider Doris

41-57

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Experiencing meanings in geometry

Henderson David W.; Taimina Daina

58-83

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The meaning of pattern

Schiralli Martin

105-125

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Mathematics, aesthetics and being human

Higginson William

126-142

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Sensible objects

Tahta Dick

191-222

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Aesthetics and the "mathematical mind"

Pimm David; Sinclair Nathalie

223-254

Open Access Link

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