Linear algebra and geometry (Algebra, logic, and applications)

Linear algebra and geometry (Algebra, logic, and applications) by A. I Kostrikin

Title: Linear algebra and geometry (Algebra, logic, and applications)
Author: A. I Kostrikin
ISBN10: 2881246931
ISBN13: 978-2881246937
Publisher: Gordon and Breach Science Publishers (1989)
Language: English
Subcategory: Mathematics
Size PDF: 1779 kb
Size Fb2: 1677 kb
Rating: 4.7/5
Votes: 480
Pages: -
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Linear algebra and geometry (Algebra, logic, and applications) by A. I Kostrikin


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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.