Introductory Numerical Analysis
eBook - ePub

Introductory Numerical Analysis

  1. 208 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Introductory Numerical Analysis

About this book

Geared toward undergraduate mathematics majors, engineering students, and future high school mathematics teachers, this text offers an understanding of the principles involved in numerical analysis. Its main theme is interpolation from the standpoint of finite differences, least squares theory, and harmonic analysis. Additional considerations include the numerical solutions of ordinary differential equations and approximations through Fourier series. Discussions of the relationships between the calculus of finite differences and the calculus of infinitesimals will prove especially important to future teachers of mathematics.
More than seventy worked-out illustrative examples are featured; some include solutions by different methods, showing the relative merits of a variety of approaches. Over 280 multipart exercises range from drill problems to those requiring some degree of ingenuity on the part of the student. Answers are provided to problems with numerical solutions. The only prerequisites are a grasp of differential and integral calculus and some familiarity with determinants. An appendix containing definitions and several theorems from elementary determinant theory is included.

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Yes, you can access Introductory Numerical Analysis by Anthony J. Pettofrezzo in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. DOVER BOOKS ON MATHEMATICS
  2. Title Page
  3. Copyright Page
  4. Dedication
  5. PREFACE
  6. Table of Contents
  7. 1 - Finite Differences
  8. 2 - Interpolation
  9. 3 - Numerical Differentiation and Integration
  10. 4 - Summation of Series
  11. 5 - Matrices and Systems of Linear Equations
  12. 6 - The Method of Least Squares
  13. 7 - Fourier Series and Harmonic Analysis
  14. 8 - Numerical Solutions of Ordinary Differential Equations
  15. Appendix—Determinants
  16. ANSWERS
  17. INDEX