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Title: The Classical Groups by Hermann Weyl ISBN: 0-691-05756-7 Publisher: Princeton Univ Pr Pub. Date: 13 October, 1997 Format: Paperback Volumes: 1 List Price(USD): $39.50 |
Average Customer Rating: 5 (2 reviews)
Rating: 5
Summary: Hard-core Group Theory
Comment: Forget about that pansy abstract axiom approach. This is the WWF of group theory. Weyl will take anyone to the mat with this book. It is packed with detail and demonstrations. He follows the vector space/matrix representation approach common to digital systems, physics and chemistry rather than axiomatic, generators/permutations approach more common in Abstract Algebra courses. This is the lineage that develops matrix transforms as groups starting from "the full group of all non-singular linear transformations and .. the orthogonal groups" (p. vii). The latter chapters cover characters and invariants. Galois and field theory have been vanquished. Chapter 2, "Remembrance of things past" is very entertaining. My favorite quote, "Here there is only one man to mention - Hilbert. His papers (1890/92) mark a turning point in the history of invariants theory. He solves the main problems and thus almost kills the whole subject." It's funny because it's true. This is almost a botanical treatise in which the matrix groups are studied as specimens in the jungle -- "...after all each group stands in its own right and does not deserve to be looked upon merely as a subgroup of...Her All-embracing Majesty GL(n)." (p 136). Historic references throughout provide motivation and entertainment. You couldn't possibly be disappointed with this book.
Rating: 5
Summary: Great
Comment: Although this is a dated work, lacking some of the more modern language, it is still worth owning and reading. It is, after all, a designated "classic." And the material presented has been incorporated within so many aspects of physics that one simply cannot avoid needing a book such as this. There are better books on the subject, for both mathematicians and physicists, but this book still proves its worth.
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Title: Symmetry by Hermann Weyl ISBN: 0691023743 Publisher: Princeton Univ Pr Pub. Date: 01 January, 1983 List Price(USD): $18.95 |
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Title: The Theory of Groups and Quantum Mechanics by Hermann Weyl ISBN: 0486602699 Publisher: Dover Pubns Pub. Date: 01 June, 1950 List Price(USD): $16.95 |
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Title: Space, Time, Matter by Hermann Weyl ISBN: 0486602672 Publisher: Dover Pubns Pub. Date: 01 June, 1952 List Price(USD): $14.95 |
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Title: Group Theory in Quantum Mechanics by Volker Heine ISBN: 0486675858 Publisher: Dover Pubns Pub. Date: 13 May, 1993 List Price(USD): $16.95 |
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Title: Representations & Characters of Groups by Gordon James, Martin Liebeck ISBN: 052100392X Publisher: Cambridge University Press Pub. Date: 15 November, 2001 List Price(USD): $42.00 |
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