This sticks to the core of the study of vector spaces and the linear maps between them, starting with the idea of a finite-dimensional vector space to the canonical forms of linear operators and their matrices. Sections start with coverage of vector spaces, progressing to linear operators and matrices, the duality of vector spaces, determinants, invariant subspaces, inner-product spaces, structure theorems, and additional topics such as functions of an operator, quadratic forms, Perron-Frobenius theory, stochastic matrices, and representations of finite groups. The appendices include background material on equivalence relations-partitions, maps, groups, group actions, rings and algebras, and polynomials. This is intended for advanced undergraduates or others with an appropriate level of mathematical maturity. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)
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