Linear Algebra

Linear Algebra

by Richard Kaye, Robert Wilson
     
 

ISBN-10: 0198502370

ISBN-13: 9780198502371

Pub. Date: 01/28/1998

Publisher: Oxford University Press, USA


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…  See more details below

Overview


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:
01/28/1998
Series:
Oxford Sience Publications
Edition description:
New Edition
Pages:
248
Product dimensions:
9.10(w) x 6.10(h) x 0.40(d)

Related Subjects

Table of Contents

1Matrices3
2Vector spaces19
3Inner product spaces47
4Bilinear and sesquilinear forms61
5Orthogonal bases73
6When is a form definite?94
7Quadratic forms and Sylvester's law of inertia106
8Linear transformations127
9Polynomials142
10Eigenvalues and eigenvectors151
11The minimum polynomial162
12Diagonalization174
13Self-adjoint transformations187
14The Jordan normal form203
App. AA theorem of analysis222
App. BApplications to quantum mechanics224
Index227

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