Symmetry

Description

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......Page 1 Title......Page 4 Copyright......Page 5 PREFACE AND BIBLIOGRAPHICAL REMARKS......Page 6 CONTENTS......Page 8 Bilateral symmetry......Page 12 Translatory, rotational, and related symmetries......Page 50 Ornamental symmetry......Page 92 Crystals. The general mathematical idea of symmetry......Page 128 APPENDICES......Page 156 A. Determination of all finite groups of proper rotations in 3-space......Page 158 B. Inclusion of improper rotations......Page 164 Acknowledgments......Page 166 Index......Page 170