Linear Algebra
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Linear Algebra : Algorithms, Applications, and Techniques

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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.
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Product details

  • Paperback | 536 pages
  • 188 x 234 x 30mm | 1,079.98g
  • Academic Press Inc
  • San Diego, United States
  • English
  • 3rd edition
  • 0123914205
  • 9780123914200

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
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Review Text

".presents linear algebra in an accessible and rigorous manner.This is a well-organized textbook that intends to aid a student as much as possible. It strikes me as an excellent book for a first linear algebra course that students would likely also find useful as a reference as they advance through the mathematics curriculum. --MMA.org, July 09, 2014

"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.Bronson's approach to computation is modern and algorithmic, and his theory is clean and straightforward.The book also includes ample exercises with answers and hints."-- Zentralblatt MATH, 1278.15001 "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
".presents linear algebra in an accessible and rigorous manner.This is a well-organized textbook that intends to aid a student as much as possible. It strikes me as an excellent book for a first linear algebra course that students would likely also find useful as a reference as they advance through the mathematics curriculum. --MMA.org, July 09, 2014

"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.Bronson's approach to computation is modern and algorithmic, and his theory is clean and straightforward.The book also includes ample exercises with answers and hints."-- Zentralblatt MATH, 1278.15001 "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
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Review quote

"The text is unusually well and carefully written for a textbook and the exposition is very clear."
- George Feldvoss, University of South Alabama

"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. The range on these problem sets is quite large, spanning the routine drill problems needed by all students to the theoretical problems for the better students."
-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
show more

Rating details

6 ratings
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