Linear Algebra

Linear Algebra

Algorithms, Applications, and Techniques

3rd Edition - October 8, 2013

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  • Authors: Richard Bronson, Gabriel Costa, John Saccoman
  • eBook ISBN: 9780123978110
  • Paperback ISBN: 9780123914200

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Description

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, Senior Executive Assistant to the President, Fairleigh Dickinson University, USA

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. 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

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

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