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Linear Algebra

  • Textbook
  • © 1984

Overview

Authors:
  1. Larry Smith

    1. Mathematisches Institut, Universität Göttingen, Göttingen, West Germany

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

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Vectors in the plane and space

    • Larry Smith
    Pages 1-12

  3. Vector spaces

    • Larry Smith
    Pages 13-20

  4. Subspaces

    • Larry Smith
    Pages 21-26

  5. Examples of vector spaces

    • Larry Smith
    Pages 27-34

  6. Linear independence and dependence

    • Larry Smith
    Pages 35-41

  7. Bases and finite-dimensional vector spaces

    • Larry Smith
    Pages 42-55

  8. The elements of vector spaces: a summing up

    • Larry Smith
    Pages 56-64

  9. Linear transformations

    • Larry Smith
    Pages 65-89

  10. Linear transformations: some numerical examples

    • Larry Smith
    Pages 90-103

  11. Matrices and linear transformations

    • Larry Smith
    Pages 104-111

  12. Matrices

    • Larry Smith
    Pages 112-129

  13. Representing linear transformations by matrices

    • Larry Smith
    Pages 130-152

  14. More on representing linear transformations by matrices

    • Larry Smith
    Pages 153-164

  15. Systems of linear equations

    • Larry Smith
    Pages 165-190

  16. The elements of eigenvalue and eigenvector theory

    • Larry Smith
    Pages 191-224

  17. Multilinear algebra: determinants

    • Larry Smith
    Pages 225-243

  18. Inner product spaces

    • Larry Smith
    Pages 244-273

  19. The spectral theorem and quadratic forms

    • Larry Smith
    Pages 274-302

  20. Jordan canonical form

    • Larry Smith
    Pages 303-333
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Keywords

About this book

In the second edition of this popular and successful text the number of exercises has been drastically increased (to a minimum of 25 per chapter); also a new chapter on the Jordan normal form has been added. These changes do not affect the character of the book as a compact but mathematically clean introduction to linear algebra with particular emphasis on topics that are used in the theory of differential equations.

Authors and Affiliations

  • Mathematisches Institut, Universität Göttingen, Göttingen, West Germany

    Larry Smith

Bibliographic Information

  • Book Title: Linear Algebra

  • Authors: Larry Smith

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4684-0252-0

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1984

  • Softcover ISBN: 978-1-4684-0254-4Published: 28 January 2012

  • eBook ISBN: 978-1-4684-0252-0Published: 06 December 2012

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 2

  • Number of Pages: VIII, 364

  • Topics: Linear and Multilinear Algebras, Matrix Theory

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