Linear Algebra

A First Course with Applications to Differential Equations

Tom M. Apostol (Autor)

Buch | Hardcover

368 Seiten

1997
Wiley-Interscience (Verlag)
978-0-471-17421-9 (ISBN)

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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.

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.

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

Erscheint lt. Verlag	23.7.1997
Sprache	englisch
Maße	182 x 263 mm
Gewicht	706 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
ISBN-10	0-471-17421-1 / 0471174211
ISBN-13	978-0-471-17421-9 / 9780471174219
Zustand	Neuware