Linear algebra and geometry
著者
書誌事項
Linear algebra and geometry
（Algebra, logic and applications series, v. 1）
Gordon & Breach, 1997
Paperback ed
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注記
Bibliography: p. ix
Includes index
Translated from the Russian
内容説明・目次
内容説明
This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Differing from existing textbooks in approach, the work illustrates the many-sided applications and connections of linear algebra with functional analysis, quantum mechanics and algebraic and differential geometry. The subjects covered in some detail include normed linear spaces, functions of linear operators, the basic structures of quantum mechanics and an introduction to linear programming. Also discussed are Kahler's metic, the theory of Hilbert polynomials, and projective and affine geometries. Unusual in its extensive use of applications in physics to clarify each topic, this comprehensice volume should be of particular interest to advanced undergraduates and graduates in mathematics and physics, and to lecturers in linear and multilinear algebra, linear programming and quantum mechanics.
目次
1. Linear Spaces and Linear Mappings 2. Affine and Projective Geometry 3. Multilinear Algebra 4. Geometry of Spaces with an Inner Product
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