Numerical Analysis - 1st Edition - ISBN: 9780126924015, 9781483268910

Numerical Analysis

1st Edition

Authors: John Todd
Editors: Ch. Blanc A. Ghizzetti P. Henrici
eBook ISBN: 9781483268910
Imprint: Academic Press
Published Date: 28th March 1981
Page Count: 254
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Basic Numerical Mathematics, Volume 1: Numerical Analysis focuses on numerical analysis, with emphasis on the ideas of "controlled computational experiments" and "bad examples". The concepts of convergence and continuity are discussed, along with the rate of convergence, acceleration, and asymptotic series. The more traditional topics of interpolation, quadrature, and differential equations are also explored.

Comprised of 10 chapters, this volume begins with an analysis of the algorithms of Gauss, Borchardt, and Carlson in relation to the rate of convergence. The reader is then introduced to orders of magnitude and rates of convergence; recurrence relations for powers; and the solution of equations. Subsequent chapters deal with uniform convergence and approximation; the acceleration processes of Aitken and Euler; asymptotic series; interpolation; and quadrature. The final chapter is devoted to linear difference equations with constant coefficients, along with differentiation and differential equations.

This book will be of interest to mathematicians and students of mathematics.

Table of Contents

Notations and Abbreviations


Chapter 1. The Algorithms of Gauss, Borchardt and Carlson

Chpater 2. Orders of Magnitude and Rates of Convergence

Chapter 3. Recurrence Relations for Powers

Chapter 4. The Solution of Equations

Chapter 5. Uniform Convergence and Approximation

Chapter 6. The Acceleration Processes of Aitken and Euler

Chapter 7. Asymptotic Series

Chapter 8. Interpolation

Chapter 9. Quadrature

Chapter 10. Difference Equations, Differentiation and Differential Equations

Appendix: Bessel Functions

Solutions to Selected Problems

Bibliographical Remarks

Table of Contents, Vol. 2 Numerical Algebra



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© Academic Press 1979
Academic Press
eBook ISBN:

About the Author

John Todd

About the Editor

Ch. Blanc

A. Ghizzetti

P. Henrici

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