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  • Textbook
  • © 1984

Linear Algebra

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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
  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. Linear transformations

    • Larry Smith
    Pages 65-89
  8. Matrices and linear transformations

    • Larry Smith
    Pages 104-111
  9. Matrices

    • Larry Smith
    Pages 112-129
  10. Systems of linear equations

    • Larry Smith
    Pages 165-190
  11. Multilinear algebra: determinants

    • Larry Smith
    Pages 225-243
  12. Inner product spaces

    • Larry Smith
    Pages 244-273
  13. The spectral theorem and quadratic forms

    • Larry Smith
    Pages 274-302
  14. Jordan canonical form

    • Larry Smith
    Pages 303-333

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

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access