01743nam a22002297a 4500999001700000005001700017008004100034028003800075082001500113100002000128245005100148260004400199300002800243365000700271490004500278505031800323520080500641650001601446655002301462700002001485942000801505 c56324d5632420200124124526.0200124b ||||| |||| 00| 0 eng d aDonated by Mathematics Department a512.02 JAC aNathan Jacobson aLectures in abstract algebrac/Nathan Jacobson aNew York b: Van Nostrandc, 1951-1964. aVarious Pagesc; 24 cm. b00 aUniversity series in higher mathematics. 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. 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.  aMathematics a;Algebra, Abstract aNathan Jacobson cMDL