E-Book, Englisch, 288 Seiten
Sinclair / Pimm / Higginson Mathematics and the Aesthetic
1. Auflage 2007
ISBN: 978-0-387-38145-9
Verlag: Springer-Verlag
Format: PDF
Kopierschutz: Wasserzeichen (»Systemvoraussetzungen)
New Approaches to an Ancient Affinity
E-Book, Englisch, 288 Seiten
ISBN: 978-0-387-38145-9
Verlag: Springer-Verlag
Format: PDF
Kopierschutz: Wasserzeichen (»Systemvoraussetzungen)
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.
Autoren/Hrsg.
Weitere Infos & Material
1;PREFACE;7
2;ACKNOWLEDGEMENTS;9
3;CONTENTS;11
4;NOTES ABOUT AUTHORS;12
5;A Historical Gaze at the Mathematical Aesthetic;15
6;Section A The Mathematician’s Art;32
6.1;Aesthetics for the Working Mathematician;34
6.2;Beauty and Truth in Mathematics;54
6.3;Experiencing Meanings in Geometry;71
7;Section B A Sense for Mathematics;97
7.1;The Aesthetic Sensibilities of Mathematicians;99
7.2;The Meaning of Pattern;117
7.3;Mathematics, Aesthetics and Being Human;138
8;Section C Mathematical Agency;155
8.1;Mechanism and Magic in the Psychology of Dynamic Geometry;157
8.2;Drawing on the Image in Mathematics and Art;172
8.3;Sensible Objects;203
8.4;Aesthetics and the ‘ Mathematical Mind’;235
9;REFERENCES;267
10;INDEX OF NAMES;289
11;INDEX;292
