Cover image for Linear algebra : algorithms, applications, and techniques / Richard Bronson, Gabriel Costa, John T. Saccoman
Title:
Linear algebra : algorithms, applications, and techniques / Richard Bronson, Gabriel Costa, John T. Saccoman
Personal Author:
Edition:
3rd ed.
Publication Information:
Amsterdam : Academic Press, 2014
Physical Description:
xi, 519 pages ; 24 cm.
ISBN:
9780123914200
General Note:
Includes index
Subject Term:

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30000010334753 QA184.2 B764 2014 Open Access Book Book
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Summary

Summary

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.


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