Pub. Date:
Oxford University Press, USA
Linear Algebra

Linear Algebra

by Richard Kaye, Robert Wilson
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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.

Product Details

ISBN-13: 9780198502371
Publisher: Oxford University Press, USA
Publication date: 01/29/1998
Series: Oxford Sience Publications
Edition description: New Edition
Pages: 248
Product dimensions: 9.10(w) x 6.10(h) x 0.40(d)

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 and Sylvester's law of inertia
8. Linear transformations
9. Polynomials
10. Eigenvalues and eigenvectors
11. The minimum polynomial
12. Diagonalization
13. Self-adjoint transformations
14. The Jordan normal form

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