Linear Algebra
- 2nd Edition - March 5, 2007
- Imprint: Academic Press
- Authors: Richard Bronson, Gabriel B. Costa
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 0 8 8 7 8 4 - 2
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 5 1 0 2 6 - 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… Read more
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Request a sales quoteIn 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.
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
Sophomore- and junior- level students in introductory linear algebra
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 TO SELECTED PROBLEMS, INDEX
- Edition: 2
- Published: March 5, 2007
- Imprint: Academic Press
- No. of pages: 520
- Language: English
- Paperback ISBN: 9780120887842
- eBook ISBN: 9780080510262
RB
Richard Bronson
Richard Bronson is a Professor of Mathematics and Computer Science at Fairleigh Dickinson University and is Senior Executive Assistant to the President. Ph.D., in Mathematics from Stevens Institute of Technology. He has written several books and numerous articles on Mathematics. He has served as Interim Provost of the Metropolitan Campus, and has been Acting Dean of the College of Science and Engineering at the university in New Jersey
Affiliations and expertise
Professor of Mathematics and Computer Science, Senior Executive Assistant to the President, Fairleigh Dickinson University, USAGC
Gabriel B. Costa
Gabriel B. Costa is currently a visiting professor at the United States Military Academy at West Point and is on the faculty at Seton Hall. And is an engineer. He holds many titles and fills them with distinction. He has a B.S., M.S. and Ph.D. in Mathematics from Stevens Institute of Technology. He has also co-authored another Academic Press book with Richard Bronson, Matrix Methods.
Affiliations and expertise
Visiting Professor, Department of Mathematical Sciences, United States Military Academy, West Point, NY, USA