Table of contents

  1. Front Matter
    Pages i-xv
  2. Jin Ho Kwak, Sungpyo Hong
    Pages 1-44
  3. Jin Ho Kwak, Sungpyo Hong
    Pages 45-74
  4. Jin Ho Kwak, Sungpyo Hong
    Pages 75-115
  5. Jin Ho Kwak, Sungpyo Hong
    Pages 117-156
  6. Jin Ho Kwak, Sungpyo Hong
    Pages 157-199
  7. Jin Ho Kwak, Sungpyo Hong
    Pages 201-245
  8. Jin Ho Kwak, Sungpyo Hong
    Pages 247-271
  9. Jin Ho Kwak, Sungpyo Hong
    Pages 273-318
  10. Jin Ho Kwak, Sungpyo Hong
    Pages 319-359
  11. Back Matter
    Pages 361-390

About this book

Introduction

"A logical development of the subject…all the important theorems and results are discussed in terms of simple worked examples. The student's understanding…is tested by problems at the end of each subsection, and every chapter ends with exercises."

--- "Current Science" (Review of the First Edition)

A cornerstone of undergraduate mathematics, science, and engineering, this clear and rigorous presentation of the fundamentals of linear algebra is unique in its emphasis and integration of computational skills and mathematical abstractions. The power and utility of this beautiful subject is demonstrated, in particular, in its focus on linear recurrence, difference and differential equations that affect applications in physics, computer science, and economics.

Key topics and features include:

* Linear equations, matrices, determinants, vector spaces, complex vector spaces, inner products, Jordan canonical forms, and quadratic forms

* Rich selection of examples and explanations, as well as a wide range of exercises at the end of every section

* Selected answers and hints

This second edition includes substantial revisions, new material on minimal polynomials and diagonalization, as well as a variety of new applications. The text will serve theoretical and applied courses and is ideal for self-study. With its important approach to linear algebra as a coherent part of mathematics and as a vital component of the natural and social sciences, "Linear Algebra, Second Edition" will challenge and benefit a broad audience.

Keywords

Eigenvalue Eigenvector Matrix Transformation algebra computer computer science linear algebra

Authors and affiliations

  • Jin Ho Kwak
    • 1
  • Sungpyo Hong
    • 1
  1. 1.Department of MathematicsPohang University of Science and TechnologyPohang, KyungbukSouth Korea

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-8176-8194-4
  • Copyright Information Birkhäuser Boston 2004
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-8176-4294-5
  • Online ISBN 978-0-8176-8194-4
  • About this book