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Linear Algebra : An Introduction to Abstract Mathematics - Robert J. Valenza

Linear Algebra

An Introduction to Abstract Mathematics

Hardcover

Published: 12th February 1999
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Based on lectures given at Claremont McKenna College, this text constitutes a substantial, abstract introduction to linear algebra. The presentation emphasizes the structural elements over the computational - for example by connecting matrices to linear transformations from the outset - and prepares the student for further study of abstract mathematics. Uniquely among algebra texts at this level, it introduces group theory early in the discussion, as an example of the rigorous development of informal axiomatic systems.

Preface
Index of Notation
Sets and Functions
Groups and Group Homomorphisms
Vector Spaces and Linear Transformations
Dimension
Matrices
Representation of Linear Transformations
Inner Product Spaces
Determinants
Eigenvalues and Eigenvectors
Triangulation and Decomposition of Endomorphisms
Supplementary Topics
Index
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387940991
ISBN-10: 0387940995
Series: Undergraduate Texts in Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 237
Published: 12th February 1999
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.6 x 16.3  x 2.0
Weight (kg): 0.5