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028 _aDonated by Mathematics Department
028 _aDonated by Prof. Sanjeev Agrawal
082 _a512.89 JAC
100 _aNathan Jacobson
245 _aLectures in abstract algebra
_c/Nathan Jacobson
260 _aNew York
_b: Van Nostrand
_c, 1951-1964.
300 _aviii,323 Pages
_c;24 cm.
365 _b00
490 _aUniversity series in higher mathematics.
505 _aTheory of fields and Galois theory ; Introduction -- Finite dimensional extension fields -- Galois theory of equations -- Abelian extensions -- Structure theory of fields -- Valuation theory -- Artin-Schreier theory.
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;Algebraic fields
700 _aNathan Jacobson
942 _cMDL
999 _c56193
_d56193