Book:R.W. Hamming/Numerical Methods for Scientists and Engineers/Second Edition

R.W. Hamming: Numerical Methods for Scientists and Engineers (2nd Edition)

Published $\text {1973}$, Dover Publications, Inc.

ISBN 0-486-65241-6

Subject Matter

• Numerical Analysis

Contents

Preface

I Fundamentals and Algorithms

1 An Essay on Numerical Methods

2 Numbers

3 Function Evaluation

4 Real Zeros

5 Complex Zeros

*6 Zeros of Polynomials

7 Linear Equations and Matrix Inversion

*8 Random Numbers

9 The Difference Calculus

10 Roundoff

*11 The Summation Calculus

*12 Infinite Series

13 Difference Equations

II Polynomial Approximation - Classical Theory

14 Polynomial Interpolation

15 Formulas Using Function Values

16 Error Terms

17 Formulas Using Derivatives

18 Formulas Using Differences

*19 Formulas Using the Sample Points as Parameters

20 Composite Formulas

21 Indefinite Integrals - Feedback

22 Introduction to Differential Equations

23 A General Theory of Predictor-Corrector Methods

24 Special Methods of Integrating Ordinary Differential Equations

25 Least Squares: Theory

26 Orthogonal Functions

27 Least Squares: Practice

28 Chebyshev Approximation: Theory

29 Chebyshev Approximation: Practice

*30 Rational Function Approximation

III Fourier Approximation - Modern Theory

31 Fourier Series: Periodic Functions

32 Convergence of Fourier Series

33 The Fast Fourier Transform

34 The Fourier Integral: Nonperiodic Functions

35 A Second Look at Polynomial Approximation - Filters

*36 Integrals and Differential Equations

*37 Design of Digital Filters

*38 Quantization of Signals

IV Exponential Approximation

39 Sums of Exponentials

*40 The Laplace Transform

*41 Simulation and the Method of Zeros and Poles

V Miscellaneous

42 Approximations to Singularities

43 Optimization

44 Linear Independence

45 Eigenvalues and Eigenvectors of Hermitian Matrices

$N + 1$ The Art of Computing for Scientists and Engineers

Index

• Starred sections may be omitted.

Further Editions

• 1962: Richard W. Hamming: Numerical Methods for Scientists and Engineers