Author(s)

Bibliographic Information

Linear algebra

Serge Lang

(Undergraduate texts in mathematics)

Springer, c1987

3rd ed

  • pbk

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Note

"Mathematics subject classification (2000): 15-01" -- T.p. verso

The first edition of this book appeared under the title Introduction to linear algebra by Addison-Wesley, c1970

The second edition appeared under the title Linear algebra by Addison-Wesley, c1971

Includes index

Description and Table of Contents

Description

This book begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. Material in this new edition has been rewritten and reorganized and new exercises have been added.

Table of Contents

  • 1. Vector Spaces
  • 2. Matrices
  • 3. Linear Mappings
  • 4. Linear Maps and Matrices
  • 5. Scalar Products and Orthogonality
  • 6. Determinants
  • 7. Symmetric, Hermitian, and Unitary Operators
  • 8. Eigenvectors and Eigenvalues
  • 9. Polynomials and Matrices
  • 10. Triangulation of Matrices and Linear Maps
  • 11. Polynomials and Primary Decomposition
  • 12. Convex Sets

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Details

  • NCID
    BA82572757
  • ISBN
    • 9780387964126
    • 9781441930811
  • LCCN
    86021943
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    ix, 296 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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