Mathematics and the Aesthetic

New Approaches to an Ancient Affinity
 Book
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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.
Preface.- Acknowledgements.- Notes about Authors.- A Historical Gaze at the Mathematical Aesthetic, by Nathalie Sinclair and David Pimm.-Chapter 1 Aesthetics for the Working Mathematician, by Jonathan M. Borwein.- Chapter 2 Beauty and Truth in Mathematics, by Doris Schattschneider.- Chapter 3 Experiencing Meanings in Geometry, by David W. Henderson and Daina Taimina.- Chapter 4 The Aesthetic Sensibilities of Mathematicians, by Nathalie Sinclair.- Chapter 5 The Meaning of Pattern, by Martin Schiralli.- Chapter 6 Mathematics, Aesthetics and Being Human, William Higginson.- Chapter 7 Mechanism and Magic in the Psychology of Dynamic Geometry, by R. Nicholas Jackiw.- Chapter 8 Drawing on the Image in Mathematics and Art, by David Pimm.- Chapter 9 Sensible Objects, by Dick Tahta.- Chapter 10 Aesthetics and the 'Mathematical Mind' by David Pimm and Nathalie Sinclair.- References.- Index of Names.- Index.-
This collection of essays explores the ancient affinity between the mathematical and the aesthetic, focusing on 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 ways in which the aesthetic is ever-present in mathematical thinking and contributes to the growth and value of mathematical knowledge.
Autor: William Higginson
ISBN-13:: 9780387305264
ISBN: 0387305262
Erscheinungsjahr: 14.11.2006
Verlag: Springer New York
Gewicht: 718g
Seiten: 308
Sprache: Englisch
Auflage 2007
Sonstiges: Buch, 242x167x19 mm