This popular and successful text was originally written for a
one-semester course in linear algebra at the sophomore
undergraduate level. Consequently, the book deals almost
exclusively with real finite dimensional vector spaces, but in a
setting and formulation that permits easy generalisation to
abstract vector spaces. A wide selection of examples of vector
spaces and linear transformation is presented to serve as a testing
ground for the theory. In the second edition, a new chapter on
Jordan normal form was added which reappears here in expanded form
as the second goal of this new edition, after the principal axis
theorem. To achieve these goals in one semester it is necessary to
follow a straight path, but this is compensated by a wide selection
of examples and exercises. In addition, the author includes an
introduction to invariant theory to show that linear algebra alone
is incapable of solving these canonical forms problems. A compact,
but mathematically clean introduction to linear algebra with
particular emphasis on topics in abstract algebra, the theory of
differential equations, and group representation theory.
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Undergraduate Texts in Mathematics |
Release date: |
October 2012 |
First published: |
October 2012 |
Authors: |
Larry Smith
|
Dimensions: |
235 x 155 x 23mm (L x W x T) |
Format: |
Paperback
|
Pages: |
454 |
Edition: |
Softcover reprint of the original 3rd ed. 1998 |
ISBN-13: |
978-1-4612-7238-0 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
Promotions
|
LSN: |
1-4612-7238-6 |
Barcode: |
9781461272380 |
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