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

By: Material type: TextPublication details: New York: Dover, 1973.Edition: 2nd edDescription: xvii, 411 p. : ill. ; 24 cmISBN:
  • 9780486652412
Subject(s): DDC classification:
  • 518.2 HAM/N
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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Cover image Item type Current library Home library Collection Shelving location Call number Materials specified Vol info URL Copy number Status Notes Date due Barcode Item holds Item hold queue priority Course reserves
General Books Central Library, Sikkim University General Book Section 518.2 HAM/N (Browse shelf(Opens below)) Available P08137
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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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