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Linear Algebra: An Introduction

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by Richard Bronson & Gabriel B. Costa
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Linear Algebra: An Introduction by Richard Bronson & Gabriel B. Costa

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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Ebook Details
Pages: 504
Size: 46.7 MB
Publisher: Academic Press
Date published:   1995
ISBN: 9780080571904 (DRM-PDF)

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This product is listed in the following category:

Nonfiction > Mathematics > Algebra > Linear

These authors have products in the following categories:

Nonfiction > Study Aids > Study Guides
Nonfiction > Education > Curricula
Nonfiction > Mathematics > Differential Equations
Nonfiction > Mathematics > Matrices
Nonfiction > Mathematics > Algebra > Intermediate
Nonfiction > Business & Economics > Management
Nonfiction > Technology > Operations Research
Nonfiction > Mathematics > Applied
Nonfiction > Mathematics
Nonfiction > Mathematics > Algebra
Nonfiction > Mathematics > Algebra > Linear
Nonfiction > Mathematics > Discrete Mathematics
Nonfiction > Technology > Engineering > Industrial

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