Mathematics and Art: A Cultural History by Lynn GamwellMathematics and Art: A Cultural History by Lynn Gamwell

Mathematics and Art: A Cultural History

byLynn Gamwell

Hardcover | November 17, 2015

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This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration.

Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians' search for the foundations of their science, such as David Hilbert's conception of mathematics as an arrangement of meaning-free signs, as well as artists' search for the essence of their craft, such as Aleksandr Rodchenko's monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked "What is art?" in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing.

Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.

Lynn Gamwell is lecturer in the history of art, science, and mathematics at the School of Visual Arts in New York. She is the author of Exploring the Invisible: Art, Science, and the Spiritual (Princeton).
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Title:Mathematics and Art: A Cultural HistoryFormat:HardcoverDimensions:576 pages, 12 × 9.5 × 0.98 inPublished:November 17, 2015Publisher:Princeton University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0691165289

ISBN - 13:9780691165288

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Table of Contents

FOREWORD by Neil deGrasse Tyson IX

PREFACE XI

1 Arithmetic and Geometry 1

2 Proportion 73

3 Infinity 109

4 Formalism 151

5 Logic 197

6 Intuitionism 225

7 Symmetry 249

8 Utopian Visions after World War I 277

9 The Incompleteness of Mathematics 321

10 Computation 355

1 1 Geometric Abstraction after World War II 385

12 Computers in Mathematics and Art 455

13 Platonism in the Postmodern Era 499

NOTES 512

ACKNOWLEDGMENTS 547

CREDITS 548

INDEX 549

Editorial Reviews

"Mathematics and Art is an enjoyable read accessible to anyone interested in the history of mathematics and art."--Andre Michael Hahn, British Journal for the History of Science