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Table of contents:
is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. In this new edition, many parts of the book have been rewritten and reorganized, and new exercises have been added.
Contents:
Linear Algebra is intended for a one-term course at the junior or senior level
It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and eigenvalues, quadric and hermitian forms, diagonalization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form
The book also includes a useful chapter on convex sets and the finite-dimensional Krein-Milman theorem
The presentation is aimed at the student who has already had some exposure to the elementary theory of matrices, determinants, and linear maps
However, the book is logically self-contained
In this new edition, many parts of the book have been rewritten and reorganized, and new exercises have been added.
Brief Description:
Deals with Linear Algebra.
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