Book:Richard W. Hamming/Numerical Methods for Scientists and Engineers

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Richard W. Hamming: Numerical Methods for Scientists and Engineers

Published $1962$, McGraw-Hill.


Subject Matter


Contents

Preface
PART I. THE DISCRETE FINITE DIFFERENCE CALCULUS
Chapter 1. The Difference Calculus
Chapter 2. Roundoff Noise
Chapter 3. The Summation Calculus
Chapter 4. Evaluation of Infinite Series
Chapter 5. Finite Difference Equations
Chapter 6. The Finite Fourier Series
Part II. POLYNOMIAL APPROXIMATION -- CLASSICAL NUMERICAL ANALYSIS
Chapter 7. Introduction to Polynomial Approximations
Chapter 8. Polynomial Interpolation -- Arbitrarily Spaced Data
Chapter 9. Polynomial Interpolation -- Equally Spaced Data
Chapter 10. A Uniform Method of Finding Formulas
Chapter 11. On Finding the Error Term of a Formula
Chapter 12. Formulas for Definite Integrals
Chapter 13. Indefinite Integrals
Chapter 14. Introduction to Differential Equations
Chapter 15. A General Theory of Predictor-Corrector Methods
Chapter 16. Special Methods of Integrating Ordinary Differential Equations
Chapter 17. Least Squares: Theory
Chapter 18. Least Squares: Practice
Chapter 19. Chebyshev Polynomials
Chapter 20. Rational Functions
Part III. NONPOLYNOMIAL APPROXIMATION
Chapter 21. Periodic Functions -- Fourier Approximation
Chapter 22. The Convergence of Fourier Series
Chapter 23. Nonperiodic Functions -- The Fourier Integral
Chapter 24. Linear Filters -- Smoothing and Differentiating
Chapter 25. Integrals and Differential Equations
Chapter 26. Exponential Approximation
Chapter 27. Singularities
Part IV. ALGORITHMS AND HEURISTICS
Chapter 28. On Finding Zeroes
Chapter 29. Simultaneous Linear Algebraic Equations
Chapter 30. Inversion of Matrices and Eigenvalues
Chapter 31. Some Examples of the Simulation of Situations and Processes
Chapter 32. Random Numbers and Monte Carlo Methods
Chapter $N + 1$. The Art of Computing for Scientists and Engineers
References
Index


Further Editions