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Symmetry is a classic study of symmetry in mathematics, the sciences, nature, and art from one of the twentieth century's greatest mathematicians. Hermann Weyl explores the concept of symmetry beginning with the idea that it represents a harmony of proportions, and gradually departs to examine its more abstract varieties and manifestations—as bilateral, translatory, rotational, ornamental, and crystallographic. Weyl investigates the general abstract mathematical idea underlying all these special forms, using a wealth of illustrations as support. Symmetry is a work of seminal relevance that explores the great variety of applications and importance of symmetry.

Cover:

Paperback

Edition Number:

1

ISBN:

9780691173252

Pages:

168

Author:

Weyl Hermann

Publisher:

PRINCETON UNIVERSITY PRESS

Release Year:

2016

Hermann Weyl (1885–1955) was one of the twentieth century's most important mathematicians, and a key figure in the development of quantum physics and general relativity. He was a member of the Institute for Advanced Study in Princeton and the author of many books.

Bilateral symmetry 3

Translatory, rotational, and related symmetries 41

Ornamental Symmetry 83

Crystals. The General mathmatical idea of symmetry 119

Appendices

A. Determination of all finite groups of proper rotations in 3-space 149

B. Inclusion of improper rotations 155

Acknowledgements 157

Index 161