The Classical Groups: Their Invariants and Representations (Princeton Landmarks in Mathematics and Physics)

Weyl, Hermann

Published by Princeton University Press, 2007
ISBN 10: 0691079234 / ISBN 13: 9780691079233
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In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines the various properties of the groups. Analysis and topology are used wherever appropriate. The book also covers topics such as matrix algebras, semigroups, commutators, and spinors, which are of great importance in understanding the group-theoretic structure of quantum mechanics.


Hermann Weyl was among the greatest mathematicians of the twentieth century. He made fundamental contributions to most branches of mathematics, but he is best remembered as one of the major developers of group theory, a powerful formal method for analyzing abstract and physical systems in which symmetry is present. In The Classical Groups, his most important book, Weyl provided a detailed introduction to the development of group theory, and he did it in a way that motivated and entertained his readers. Departing from most theoretical mathematics books of the time, he introduced historical events and people as well as theorems and proofs. One learned not only about the theory of invariants but also when and where they were originated, and by whom. He once said of his writing, "My work always tried to unite the truth with the beautiful, but when I had to choose one or the other, I usually chose the beautiful."


Weyl believed in the overall unity of mathematics and that it should be integrated into other fields. He had serious interest in modern physics, especially quantum mechanics, a field to which The Classical Groups has proved important, as it has to quantum chemistry and other fields. Among the five books Weyl published with Princeton, Algebraic Theory of Numbers inaugurated the Annals of Mathematics Studies book series, a crucial and enduring foundation of Princeton's mathematics list and the most distinguished book series in mathematics.


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Title: The Classical Groups: Their Invariants and ...
Publisher: Princeton University Press
Publication Date: 2007
Binding: Hardcover
Book Condition: Used: Good

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Book Description Princeton University Press, 1966. Book Condition: Good. This is the 1966 printing; 336 pp., Hardcover, ownership markings to front free endpaper and pastedown, some minor marginalia to a few pages else good+ in a worn dust jacket. Bookseller Inventory # ZB1076794

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Book Description Princeton: Princeton University Press, 1973. Second edition, 8th printing., 1973. Hardcover. Book Condition: Good. Dust Jacket Included. 8 vo. Hardcover. Xiii, 320 pages. Dust jacket with orange and white design and white title panels to front and spine with orange printing. Jacket is worn with faded spine and several short tears with creasing to back. Bound in brown. Wear to spine. Binding is tight. Inside on front free endpaper, ink signature of previous owner, a mathematics professor, with his annotations on 6 pages. Overall, a good copy. Seller info: Math T-Z, box #1. Bookseller Inventory # 0019397tg

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