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008			081019r19971946nju | 001 0 eng d
020			_a0691079234
020			_a0691057567 pbk
039		9	_a201402040048 _bVLOAD _c201007271045 _dmalmash _c200810260927 _dvenkatrajand _c200810260926 _dvenkatrajand _y200810191321 _zmalmash
050			_aQA385 _b.W54 1997
082	0		_a512.2 _221
100	1		_aWeyl, Hermann, _d1885-1955. _910899
245	1	4	_aThe Classical Groups : _bTheir Invariants and Representations / _cby Hermann Weyl.
250			_a2nd ed., _bwith suppl.
260			_aPrinceton, N.J. ; _aChichester : _bPrinceton University Press, _c1997.
300			_axiii, 320 p. ; _c24 cm.
440		0	_aPrinceton landmarks in mathematics and physics _931375
500			_aOriginally published: Princeton, N.J. : Princeton University Press, 1946.
520			_aIn 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. This 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.
650		0	_aContinuous groups. _931376
650		0	_aGroup theory. _931377
942			_2lcc _n0 _cBK
999			_c13473 _d13473