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9780198502371

Linear Algebra

by ;
  • ISBN13:

    9780198502371

  • ISBN10:

    0198502370

  • Format: Paperback
  • Copyright: 1998-04-09
  • Publisher: Oxford University Press

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Summary

Linear Algebra provides a valuable introduction to the basic theory of matrices and vector spaces. The book covers: matrices, vector spaces, bases, and dimension; inner products, bilinear and sesquilinear forms over vector spaces; linear transformations, eigenvalues and eigenvectors, diagonalization, and Jordan normal form; and fields and polynomials over fields. Abstract methods are illustrated with concrete examples, and more detailed examples highlight applications of linear algebra to analysis, geometry, differential equations, relativity and quantum mechanics. Rigorous without being unnecessarily abstract, this useful and concise guide to the subject will be important reading for all students in mathematics and related fields.

Table of Contents

Matrices
Vector spaces
Inner product spaces
Bilinear and sesquilinear forms
Orthogonal bases
When in a form definite?
Quadratic forms
Linear transformations
Polynomials
Eigenvalues and eigenvectors
The minimum polynomial
Diagonalization
Self-adjoint transformations
The Jordan normal form
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

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