Description

Book Synopsis
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.

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

Linear Algebra

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    A Hardback by Tom M. Apostol

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      Book details

      Publisher John Wiley & Sons Inc
      Published 23 July 1997
      ISBN-13 9780471174219
      978-0471174219
      ISBN-10 0471174211

      Description

      Book Synopsis
      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.

      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

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