Linear Algebra: An Introduction - Softcover

Bronson, Richard

4.27

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9780121352455: Linear Algebra: An Introduction

Softcover

ISBN 10: 0121352455 ISBN 13: 9780121352455

Publisher: Academic Press, 1995

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In this appealing and well-written text, Richard Bronson gives readers a substructure for a firm understanding of the abstract concepts of linear algebra and its applications. The author starts with the concrete andcomputational (a 3 x 5 matrix describing a stores inventory) and leads the reader to a choice of major applications (Markov chains, least squares approximation, and solution of differential equations using Jordan normal form). 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 instructors taste and to the length of the course. Bronsons 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. Key material is highlighted in the text and summarized at end of each chapter. The book also includes ample exercises with answers and hints. With its inclusion of all the needed pedagogical features, this text will be a pleasure for teachers and students alike.
* Gives a firm substructure for understanding linear algebra and its applications
* Introduces deductive reasoning and helps the reader develop a facility with mathematical proofs
* Begins with the concrete and computational (a 3 x 5 matrix describing a stores inventory) and leads the reader to a choice of major applications (Markov chains, least squares approximation, and solution of differential equations using Jordan normal form)
* Covers matrices, vector spaces, linear transformations, as well as applications to Jordan canonical forms, differential equations, and Markov chains
* Gives computational algorithms for finding eigenvalues and eigenvectors
* Provides a balanced approach to computation and theory
* Highlights key material in the text as well as in summaries at the end of each chapter
* Includes ample exercises with answers and hints, in addition to other learning features

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Book Description:

Written by the Recipient of the 1994 Mathematical Association of America-New Jersey Distinguished Teaching Award!An Innovative textbook at an affordable price

About the Author:

Father Gabriel B. Costa, Ph.D.
Department of Mathematical Sciences
United States Military Academy
West Point, NY

"About this title" may belong to another edition of this title.