Numerical methods for scientists and engineers [texte imprimé] /
Richard Wesley Hamming, Auteur . -
New York : McGraw-Hill, 1962 . - XVII, 411 p. : ill. ; 21 cm. - (
International series in pure and applied mathematics) .
International student edition. - Bibliogr. p. 403-404. - Index
Langues : Anglais (
eng)
Mots-clés : |
Numerical analysis -- Data processing
Electronic digital computers
Analyse numérique
Approximation, Théorie de l'
Algorithmes |
Index. décimale : |
519.6 Mathématique numérique. Analyse numérique. Programmation. (informatique). Science des ordinateurs. |
Note de contenu : |
Summary :
I. The discrete finite difference calculus
1. The difference calculus
2. Roundoff noise
3. The summation calculus
4. Evaluation of infinite series
5. Finite difference equations
6. The finite Fourier series
II. Polynomial approximation: classical numerical analysis
7. Introduction to polynomial approximations
8. Polynomial interpolation: arbitrarily spaced data
9. Polynomial interpolation: equally spaced data
10. A uniform method for finding formulas
11. On finding the error term of a formula
12. Formulas for definite integrals
13. Indefinite integrals
14. Introduction to differential equations
15. A general theory of predictor-corrector methods
16. Special methods of integrating ordinary differential equations
17. Least squares: theory
18. Least squares: practice
19. Chebyshev polynomials
20. Rational functions
III. Nonpolynomial approximation
21. Periodic functions: Fourier approximation
22. The convergence of Fourier series
23. Nonperiodic functions: the Fourier integral
24. Linear filters: smoothing and differentiating
25. Integrals and differential equations
26. Exponential approximation
27. Singularities
IV. Algorithms and heuristics
28. On finding zeros
29. Simultaneous linear algebraic equations
30. Inversion of matrices and eigenvalues
31. Some examples of the simulation of situations and processes
32. Random numbers and Monte Carlo methods
Chapter N+1. The art of computing for scientists and engineers. |