Numerical methods for scientists and engineers/ R. W. Hamming.
Material type:
TextPublication details: New York: Dover, 1973.Edition: 2nd edDescription: xvii, 411 p. : ill. ; 24 cmISBN: - 9780486652412
- 518.2 HAM/N
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Central Library, Sikkim University General Book Section | 518.2 HAM/N (Browse shelf(Opens below)) | Available | P08137 |
Part 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 --
Part 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 --
Part 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 --
Part 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.
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