Linear Algebra
Algorithms, Applications, and Techniques
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Product details:
- Edition number 2
- Publisher Elsevier Science
- Date of Publication 16 April 2007
- ISBN 9780120887842
- Binding Paperback
- No. of pages520 pages
- Size 234x190 mm
- Weight 880 g
- Language English 0
Categories
Long description:
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.
MoreTable of Contents:
Preface
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
INDEX