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Mathematics and the Aesthetic

New Approaches to an Ancient Affinity

By: Nathalie Sinclair (Editor), David Pimm (Editor), William Higginson (Editor)

Hardcover

Published: 14th November 2006
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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.

From the reviews: "The essays in this book represent diverse reflections on attempts to ground the aesthetics that operate within mathematical practice and to account for their origins. ... Summing Up: Recommended. Upper-division undergraduates; faculty." (D. V. Feldman, CHOICE, Vol. 44 (11), July, 2007) "Mathematics and the Aesthetic is a heavy book. I mean this in the literal sense: at 288 pages, it weighs 721 grams. ... high-quality paper is matched by a sense of attention to detail throughout. The color pictures are ... well presented; the text is easy to read. ... Enter Sinclair, Pimm, and Higginson. ... assembled a group of scholars with diverse academic credentials: philosophers, math educators, and (yes) research mathematicians. ... Mathematics and the Aesthetic is a thoughtful collection of essays ... ." (Annalisa Crannell, Notices of the AMS, Vol. 56 (2), February, 2010)

Preface
Acknowledgements
Notes about Authors
A Historical Gaze at the Mathematical Aesthetic
Aesthetics for the Working Mathematician
Beauty and Truth in Mathematics
Experiencing Meanings in Geometry
The Aesthetic Sensibilities of Mathematicians
The Meaning of Pattern
Mathematics, Aesthetics and Being Human
Mechanism and Magic in the Psychology of Dynamic Geometry
Drawing on the Image in Mathematics and Art
Sensible Objects
Aesthetics and the a Mathematical Mind'
References
Index of Names
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387305264
ISBN-10: 0387305262
Series: CMS Books in Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 308
Published: 14th November 2006
Dimensions (cm): 23.4 x 15.6  x 1.9
Weight (kg): 0.609