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028 _aDonated by Mathematics Department
082 _a512.02 JAC
100 _aNathan Jacobson
245 _aLectures in abstract algebra
_c/Nathan Jacobson
260 _aNew York
_b: Van Nostrand
_c, 1951-1964.
300 _aVarious Pages
_c; 24 cm.
365 _b00
490 _aUniversity series in higher mathematics.
505 _aLinear algebra ; Finite dimensional vector spaces -- Linear transformations -- The theory of a single linear transformation -- Sets of linear transformations -- Bilinear forms -- Euclidean and unitary spaces -- Products of vector spaces -- The ring of linear transformations -- Infinite dimensional vector spaces.
520 _aThe three volume Lectures are based on Jacobson's graduate lectures on algebra at Johns Hopkins and Yale in the 1940's and early 1950's, and are very careful, comprehensive and classical in style, giving a general treatment of abstract algebra. The first volume gives a comprehensive introduction to abstract algebra and its basic concepts. The second volume deals with the theory of vector spaces, accompanied by examples and exercises. The third and final volume addresses field theory and Galois theory, and is not an easy read for the casual student, but a serious student who works at the material will be repaid for their efforts. All volumes include a considerable number of exercises are given that vary greatly in difficulty, while the texts in general are example-driven and user-friendly.
650 _aMathematics
655 _a;Algebra, Abstract
700 _aNathan Jacobson
942 _cMDL