Book:Richard W. Hamming/Numerical Methods for Scientists and Engineers
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Richard W. Hamming: Numerical Methods for Scientists and Engineers
Published $\text {1962}$, 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