Linear Algebra and Geometry
Publisher: CRC Press | 1997 | PDF | 309 pages | ISBN: 9056990497 | 5.3Mb
This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Differing from most existing textbooks in approach, the work illustrates the various 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 metric, the theory of Hilbert polynomials, and projective and affine geometries. This comprehensive volume is unusual in its extensive use of applications in physics to clarify each topic.