New Edition
Linear Algebra,
Edition 3 Algorithms, Applications, and Techniques
By Richard Bronson, Gabriel B. Costa and John T. Saccoman

Publication Date: 25 Oct 2013
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
About the author
By Richard Bronson, Professor of Mathematics and Computer Science, Senior Executive Assistant to the President, Fairleigh Dickinson University, USA; Gabriel B. Costa, Visiting Professor, Department of Mathematical Sciences, United States Military Academy, West Point, NY, USA and John T. Saccoman, Professor and Chair, Department of Mathematics and Computer Science, Seton Hall University, New Jersey, USA
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

Book details
ISBN: 9780123914200
Page Count: 536
Retail Price : £110.00
Matrix Methods, 2e, by Bronson (1991, $68.95, ISBN: 012135251X).
Elementary Linear Algebra, 3e, by Andrilli/Hecker (2004, $29.95, ISBN: 0120586223).
A First Course in Linear Algebra, 3e, by Yaqub/Moore (1998, $104.95, ISBN: 0125057601).
Instructor Resources
Audience
Sophomore- and junior- level students in introductory linear algebra