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Symmetry
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Hermann Weyl
Language:
English
Published/Copyright:
2015
About this book
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.
Author / Editor information
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.
Reviews
"Vivid and picturesque. . . . [Weyl is] an outstanding thinker."---Wolfgang Yourgrau, Philosophy and Phenomenological Research
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"Weyl offers deep insight into [the concept of symmetry], its foundations in group theory, its applications in physics, chemistry, and biology, and its role in art."---Manfred Eigen and Ruthild Winkler in, Laws of the Game
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"Dr. Weyl presents a masterful and fascinating survey of the applications of the principle of symmetry in sculpture, painting, architecture, ornament, and design; its manifestations in organic and inorganic nature; and its philosophical and mathematical significance."
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"This short book on a vast subject is the work of a master. With a few sure and authoritative words [Weyl] gives us the heart of the matter. There is no book . . . quite like this one on the subject of symmetry and I doubt if any book will be written in the future that will not in some way lean upon this one. . . . [I]t contains so much besides mathematics that it can still be read with profit and enjoyed by someone who has not advanced beyond long division."---John Tyler Bonner, Science
Topics
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Frontmatter
i -
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Preface
v -
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Contents
vii -
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Bilateral symmetry
1 -
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Translatory, rotational, and related symmetries
41 -
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Ornamental symmetry
83 -
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Crystals. The general mathematical idea of symmetry
119 -
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Appendices
147 -
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Acknowledgments
157 -
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Index
161
Publishing information
Pages and Images/Illustrations in book
eBook published on:
December 5, 2016
eBook ISBN:
9781400874347
Pages and Images/Illustrations in book
eBook ISBN:
9781400874347
Keywords for this book
Automorphism; Finite group; Coefficient; Subgroup; Iteration; Two-dimensional space; Cartesian coordinate system; Linear map; Octahedron; Improper rotation; Geometry; Addition; Mathematics; Dimension; Logarithmic spiral; Orthogonal transformation; Permutation; Rotational symmetry; Real number; Rational number; Horizontal plane; Quantum mechanics; Rectangle; Quadratic form; Rhombus; Affine geometry; Big O notation; Wavelength; Tetrahedron; Quantity; Coordinate system; Algebra; Dodecahedron; Icosahedron; Cyclic group; Algebraic equation; Regular polygon; Special case; Polynomial; Square root; Equation; Integer; Prime number; Symmetry; Mysterium Cosmographicum; Null vector; Mathematician; Pythagorean theorem; Crystal structure; Compass-and-straightedge construction; Arithmetic; Monomial; Crystallography; Commutative property; Linear combination; Spacetime; Metric space; Angle of rotation; Geometric progression; Variable (mathematics); Cube (algebra); Indeterminate form; Sign (mathematics); Four-dimensional space; Quadratic equation; Simultaneity; Principia Mathematica; Dihedral group; Real structure; Hypercomplex number
Audience(s) for this book
For a non-specialist adult audience
