Linear Algebra book cover

Linear Algebra

Algorithms, Applications, and Techniques

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.

Paperback, 536 Pages

Published: October 2013

Imprint: Academic Press

ISBN: 978-0-12-391420-0

Reviews

  • "The quality of the exercises is better than that of Anton. Bronson's exercises seem more original and less trivial. While he does have routine drill problems his non-routine problems require the student to either extend the student's knowledge base or fill in a portion of a proof."--Renee Britt, Louisiana State University

    "I appreciate the slow increase in the progression of difficulty with proofs... I regard the exposition as superior. Prof. Bronson's text is the best example I've ever seen of motivating definitions in linear algebra, right from the very first page... Bronson incorporates the application first, thus motivating the definition, going from concrete to abstract, instead of the reverse."--Michael Ecker, The Pennsylvania State University


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

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