Linear Algebra: A First Course with Applications to Differential Equations

by Tom M. Apostol

Overview

Developed from the author's successful two-volume Calculus text this book presents Linear Algebra without emphasis on abstraction or formalization. To accommodate a variety of backgrounds, the text begins with a review of prerequisites divided into precalculus and calculus prerequisites. It continues to cover vector algebra, analytic geometry, linear spaces, determinants, linear differential equations and more.

Product Details

ISBN-13:	9781118626016
Publisher:	Wiley
Publication date:	08/22/2014
Sold by:	JOHN WILEY & SONS
Format:	eBook
Pages:	368
File size:	17 MB
Note:	This product may take a few minutes to download.

About the Author

TOM M. APOSTOL, Emeritus Professor at the California Institute of Technology, is the author of several highly regarded texts on calculus, analysis, and number theory, and is Director of Project MATHEMATICS!, a series of computer-animated mathematics videotapes.

Table of Contents

0. REVIEW OF PREREQUISITES

Part 1. Pre-Calculus Prerequisites 1

Part 2.Calculus Prerequisites 14

1. Vector Algebra 25

2. Applications of Vector Algebra to Analytic Geometry 51

3. Linear Spaces 91

4. Linear Transformations and Matrices 119

5. Determinants 161

6. Eigenvalues and Eigenvectors 187

7. Eigenvalues of Operators Acting on Euclidean Spaces 217

8. Applications to Linear Differential Equations 247

9. Applications to Systems of Differential Equations 273

10. The Method of Successive Approximations 303

Answers to Exercises 321

Index 343

Editorial Reviews

A review chapter covering pre-calculus prerequisites is followed by coverage of the topics traditionally taught in a first course on linear algebra: linear spaces, independence, orthogonality, linear transformations, matrices, eigenvalues, and quadratic forms. The last three chapters describe applications to differential equations. Although based on the author's two-volume "Calculus", the present text contains much revision and new material (including the triangularization theorem and the Jordan normal form). Annotation c. by Book News, Inc., Portland, Or.

Booknews