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Linear Algebra (Undergraduate Texts in Mathematics)

Linear Algebra (Undergraduate Texts in Mathematics)
Author: Serge Lang
ISBN 13: 9780387964126
ISBN 10: 387964126
Edition: 3rd
Publisher: Springer
Publication Date: 2004-03-09
Format: Hardcover
Pages: 285
List Price: $64.95

"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 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. 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.