LINEAR ALGEBRA by Kaye, Richard ISBN 0198502370
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[edit] LINEAR ALGEBRA
Provides a complete account of undergraduate linear algebra, aimed at the level of the second-year undergraduate. This title is illustrated with examples, and emphasizes several applications to other areas of mathematics and physics.
This book covers the basic theory of matrices and vector spaces. The book's three main parts cover (I) matrices, vector spaces, bases, and dimension; (II) inner products, bilinear and sesquilinear forms over vector spaces; (III) 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' in presented fully in Part I, 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.
[edit] Book Details
[edit] Title
LINEAR ALGEBRA
[edit] Author
Kaye, Richard
[edit] ISBN
0198502370
[edit] Published
29/01/1998
[edit] Publisher
Oxford University Press
[edit] Binding
paperback
[edit] Retail Price
23 (GBP)
[edit] Typical Price Online
23 (GBP)
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