Numerical methods for scientists and engineers/ R. W. Hamming.

By: Hamming, R.WMaterial type: TextTextPublication details: New York: Dover, 1973Edition: 2nd edDescription: xvii, 411 p. : ill. ; 24 cmISBN: 9780486652412Subject(s): Numerical Analysis -- Data Processing | Electronic digital computersDDC classification: 518.2
Contents:
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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Holdings
Item type Current library Call number Status Date due Barcode Item holds
General Books General Books Central Library, Sikkim University
General Book Section
518.2 HAM/N (Browse shelf(Opens below)) Available P08137
Total holds: 0

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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