Book:R.W. Hamming/Numerical Methods for Scientists and Engineers/Second Edition
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R.W. Hamming: Numerical Methods for Scientists and Engineers (2nd Edition)
Published $\text {1973}$, Dover Publications, Inc.
- ISBN 0-486-65241-6
Subject Matter
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.