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Linear Algebra : Undergraduate Texts in Mathematics - Serge Lang

Linear Algebra

Undergraduate Texts in Mathematics

Hardcover

Published: 26th January 1987
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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.

"The present textbook is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of finite-dimensional vector spaces and proceeds to explain the structure theorems for linear maps, including eigenvectors and eigenvalues, quadratic and Hermitian forms, diagonalization of symmetric, Hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. It 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. In this third edition, many parts of the book have been rewritten and reorganized, and new exercises have been added." (S. Lajos, Mathematical Reviews)

Vector Spaces
Matrices
Linear Mappings
Linear Maps and Matrices
Scalar Products and Orthogonality
Determinants
Symmetric, Hermitian, and Unitary Operators
Eigenvectors and Eigenvalues
Polynomials and Matrices
Triangulation of Matrices and Linear Maps
Polynomials and Primary Decomposition
Convex Sets
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387964126
ISBN-10: 0387964126
Series: Undergraduate Texts in Mathematics
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 285
Published: 26th January 1987
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 24.2 x 16.6  x 2.3
Weight (kg): 0.62
Edition Number: 3
Edition Type: Revised