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© 1987

Linear Algebra

Textbook

Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Serge Lang
    Pages 1-22
  3. Serge Lang
    Pages 23-42
  4. Serge Lang
    Pages 43-80
  5. Serge Lang
    Pages 81-94
  6. Serge Lang
    Pages 95-139
  7. Serge Lang
    Pages 140-179
  8. Serge Lang
    Pages 194-230
  9. Serge Lang
    Pages 231-236
  10. Serge Lang
    Pages 245-267
  11. Serge Lang
    Pages 268-276
  12. Back Matter
    Pages 277-296

About this book

Introduction

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.

Keywords

Eigenvalue Eigenvector algebra linear algebra matrices

Authors and affiliations

  1. 1.Department of MathematicsYale UniversityNew HavenUSA

Bibliographic information

  • Book Title Linear Algebra
  • Authors Serge Lang
  • Series Title Undergraduate Texts in Mathematics
  • DOI https://doi.org/10.1007/978-1-4757-1949-9
  • Copyright Information Springer-Verlag New York 1987
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-96412-6
  • Softcover ISBN 978-1-4419-3081-1
  • eBook ISBN 978-1-4757-1949-9
  • Series ISSN 0172-6056
  • Edition Number 3
  • Number of Pages IX, 285
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published by Addison-Wesley, Reading, 1971
  • Topics Linear and Multilinear Algebras, Matrix Theory
  • Buy this book on publisher's site
Industry Sectors
Finance, Business & Banking

Reviews

"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)