Bibliographic Information

Linear algebra

Richard Kaye and Robert Wilson

Oxford University Press, 1998

  • hbk.
  • pbk.

Available at  / 6 libraries

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Note

Includes index

Description and Table of Contents

Description

This book covers the basic theory of matrices and vector spaces. The book's three main parts cover: matrices, vector spaces, bases and dimension; inner products bilinear and sesquilinear forms over vector spaces; and linear transformations, eigenvalues and eigenvectors, diagonalization, and Jordan normal form. An introduction to fields and polynomials over fields is also provided, and examples and applications are provided throughout. The approach throughout is rigorous, but without being unnecessarily abstract. In particular, this book would be suitable reading for a student with no prior exposure to abstract algebra. Although intended as a 'second course', the book is completely self-contained and all the material usually given in a 'first course' is presented fully in Part One, so the book provides a useful guide to the entire theory of vector spaces as usually studied in an undergraduate degree. Abstract methods are illustrated with concrete examples throughout, and more detailed examples highlight applications of linear algebra to analysis, geometry, differential equations, relativity and quantum mechanics. As such, the book provides a valuable introduction to a wide variety of mathematical methods.

Table of Contents

  • 1. Matrices
  • 2. Vector spaces
  • 3. Inner product spaces
  • 4. Bilinear and sesquilinear forms
  • 5. Orthogonal bases
  • 6. When in a form definite?
  • 7. Quadratic forms
  • 8. Linear transformations
  • 9. Polynomials
  • 10. Eigenvalues and eigenvectors
  • 11. The minimum polynomial
  • 12. Diagonalization
  • 13. Self-adjoint transformations
  • 14. The Jordan normal form

by "Nielsen BookData"

Details

  • NCID
    BA34786691
  • ISBN
    • 0198502389
    • 0198502370
  • LCCN
    97043432
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    xi, 230 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
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