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.
Зміст
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
Про автора
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.
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