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S'està carregant… Symmetry (1952)de Hermann Weyl
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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. No s'han trobat descripcions de biblioteca. |
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From Weyl we get the idea of the analogy between Galois theory and relativity theory based on their reliance on symmetry expressed by groups and invariants (p. 138 in my 2009 reprint). Another gem is the assertion that all a priori results in physics are due to symmetry (p.126). A rather controversial concept is that objectivity (reality?) relies on invariance (p. 132) and hence symmetry..
On a different level, this book has a good discussion of the relations between the various planar and spatial symmetries such as the space groups and the point (lattice) groups of crystal structure. Numerous minor facts (such as the constructability of a 17 sided regular polygon with ruler and compass) salt the main flow of deep philosophical nourishment. ( )