Linear Algebra
Algorithms, Applications, and Techniques
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In this appealing and well-written text, Richard Bronson starts with the concrete and computational, and leads the reader to a choice of major applications. 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 and 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. Prerequisite: One year of calculus is recommended.
Key Features
- Introduces deductive reasoning and helps the reader develop a facility with mathematical proofs
- Provides a balanced approach to computation and theory by offering computational algorithms for finding eigenvalues and eigenvectors
- Offers excellent exercise sets, ranging from drill to theoretical/challeging along with useful and interesting applications not found in other introductory linear algebra texts
Readership
Sophomore- and junior- level students in introductory linear algebra
Table 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 TO SELECTED PROBLEMS
INDEX
Product details
- No. of pages: 536
- Language: English
- Copyright: © Academic Press 2013
- Published: October 8, 2013
- Imprint: Academic Press
- eBook ISBN: 9780123978110
- Paperback ISBN: 9780123914200
About the Authors
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, Fairleigh Dickinson University; Senior Executive Assistant to the President
Gabriel 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. He is a priest and a mathematician and holds many titles which he fills with distinction. He has a B.S., M.S. and Ph.D. in Mathematics from Stevens Institute of Technology. He pioneered one of the first courses in Sabermetrics at West Point, and he has also co-authored two other Academic Press books with Richard Bronson, Matrix Methods, Third Edition, as well as with John T. Saccoman, Linear Algebra: Algorithms, Applications, and Techniques, Third Edition.
Affiliations and Expertise
Visiting Professor, Department of Mathematical Sciences, United States Military Academy, West Point, NY, USA
John Saccoman
John T. Saccoman is Professor and Chair, Department of Mathematics and Computer Science, Seton Hall University, New Jersey received Ph.D., Stevens Institute of Technology, Hoboken, NJ, 1995 Research work on synthesis results in network reliability theory. He has published in several journals, authored supplementary materials, and is highly involved in the use of technology in applied mathematics. He has worked collaboratively on writings for Transforming the Curriculum Across the Disciplines Through Technology-Based Faculty Development and Writing-Intensive Course Redesign.
Affiliations and Expertise
Professor and Chair, Department of Mathematics and Computer Science, Seton Hall University, New Jersey, USA