Pub. Date:
Elsevier Science
Linear Algebra: An Introduction / Edition 2

Linear Algebra: An Introduction / Edition 2

by Richard Bronson, Gabriel B. Costa


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Linear Algebra: An Introduction / Edition 2

In this appealing and well-written text, Richard Bronson gives readers a substructure for a firm understanding of the abstract concepts of linear algebra and its applications. The author starts with the concrete and computational, and leads the reader to a choice of major applications (Markov chains, least-squares approximation, and solution of differential equations using Jordan normal form).

The first three chapters address the basics: matrices, vector spaces, and linear transformations. The next three cover eigenvalues, Euclidean inner products, and Jordan canonical forms, offering possibilities that can be tailored to the instructor's taste and to the length of the course. Bronson's approach to computation is modern and algorithmic, and his theory is clean and straightforward. Throughout, the views of the theory presented are broad and balanced. Key material is highlighted in the text and summarized at the end of each chapter. The book also includes ample exercises with answers and hints. With its inclusion of all the needed features, this text will be a pleasure for professionals, teachers, and students.

- Introduces deductive reasoning and helps the reader develop a facility with mathematical proofs
- Gives computational algorithms for finding eigenvalues and eigenvectors
- Provides a balanced approach to computation and theory
- Superb motivation and writing
- Excellent exercise sets, ranging from drill to theoretical/challeging
- Useful and interesting applications not found in other introductory linear algebra texts

Product Details

ISBN-13: 9780120887842
Publisher: Elsevier Science
Publication date: 03/05/2007
Edition description: Older Edition
Pages: 520
Product dimensions: 1.04(w) x 9.25(h) x 7.50(d)

About the Author

Fairleigh Dickinson University, NJ, USA

Father Gabriel B. Costa, Ph.D.
Department of Mathematical Sciences
United States Military Academy
West Point, NY

Read an Excerpt

Written by the Recipient of the 1994 Mathematical Association of America-New Jersey Distinguished Teaching Award!An Innovative textbook at an affordable price

Table of Contents

1. Matrices
2. Vector Spaces
3. Linear Transformations
4. Eigenvalues, Eigenvectors, and Differential Equations
5. Euclidean Inner Product
APPENDIX A: Determinants
APPENDIX B: Jordan Canonical Forms
APPENDIX C: Markov Chains
APPENDIX D: The Simplex Method, An Example
APPENDIX E: A Word On Numerical Techniques and Technology, Answers and Hints toSelected Problems

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