Linear Algebra with Applications / Edition 3

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Overview

With the most geometric presentation now available, this reference emphasizes linear transformations as a unifying theme, and enables users to "do" both computational and abstract math in each chapter. A second theme is introduced half way through the text—when eigenvectors are reached—on dynamical systems. It also includes a wider range of problem sets than found in any other book in this market. Chapter topics include systems of linear equations; linear transformations; subspaces of Rn and their dimension; linear spaces; orthogonality and least squares; determinants; eigenvalues and eigenvectors; symmetric matrices and quadratic forms; and linear differential equations. For anyone seeking an introduction to linear algebra.
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Editorial Reviews

Booknews
A text for undergraduates, stressing examples, exercises, history, and applications, and keeping abstract exposition to a minimum. Coverage includes linear equations and transforms, subspaces of Rn and their dimensions, orthogonality and least squares, determinants, eigenvalues and eigenvectors, coordinate systems, linear systems of differential equations, and linear spaces. Includes chapter exercises and selected answers. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9780131453340
  • Publisher: Prentice Hall
  • Publication date: 6/28/2004
  • Edition description: 3RD
  • Edition number: 3
  • Pages: 496
  • Product dimensions: 8.20 (w) x 10.06 (h) x 0.94 (d)

Table of Contents

Preface
1 Linear Equations 1
2 Linear Transformations 52
3 Subspaces of R[superscript n] and Their Dimensions 128
4 Orthogonality and Least Squares 177
5 Determinants 239
6 Eigenvalues and Eigenvectors 291
7 Coordinate Systems 371
8 Linear Systems of Differential Equations 438
9 Linear Spaces 477
App. A Vectors 546
Answers to Odd-Numbered Exercises A-1
Index I-1
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  • Anonymous

    Posted January 2, 2008

    A reviewer

    This is probably the most rigorous Linear Algebra textbook in the market today. It's very heavily proof oriented. As an engineering student I would say that math majors would have a much better time with this text than physical science majors. In any event, this should be the standard book in Linear Algebra regardless of your major. This text requires a lot of abstract thinking, and once you're finished with the book you really do feel rewarded.

    1 out of 1 people found this review helpful.

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  • Anonymous

    Posted January 18, 2010

    No text was provided for this review.

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