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http://www.sudoc.fr/015127818 |
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20190717095100.0 |
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|a 81-203-0845-X
|b br. : New Dehli 2001
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|a eng
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|a GB
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|a Numerical methods for mathematics, science, and engineering
|f John H. Mathews
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| 205 |
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|a 2nd edition
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| 210 |
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|a Englewood Cliffs
|c Prentice Hall
|d cop. 1992
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| 215 |
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|a 1 vol. (X-646 p.)
|c fig., graph.
|d 24 cm
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| 305 |
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|a Edition révisée de : "Numerical methods for computer science, engineering, and mathematics. 1987"
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| 305 |
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|a Autres tirages : 2001 (6e impr. New Dehli)
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| 359 |
2 |
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|b 1. Preliminaries
|c 1.1 Review of calculus
|c 1.2 Binary numbers
|c 1.3 Error analysis
|b 2. The solution of nonlinear equations f(x)=0
|c 2.1 Iteration for solving x=g(x)
|c 2.2 Bracketing methods for locating a root
|c 2.3 Initial approximations and convergence criteria
|c 2.4 Newton-Raphson and Secant methods
|c 2.5 Aitken's process and Steffensen's and Muller's methods (optional)
|c 2.6 Iteration for nonlinear systems
|c 2.7 Newton's method for systems
|b 3. The oslution of linear systems AX=B
|c 3.1 Introduction to vectors and matrices
|c 3.2 Properties of vectors and matrices
|c 3.3 Upper-triangular linear systems
|c 3.4 Gaussian elimination and pivoting
|c 3.5 Matrix inversion
|c 3.6 Triangular factorization
|c 3.7 Iterative methods for linear systems
|b 4. Interpolation and polynomial approximation
|c 4.1 Taylor series and calculation of functions
|c 4.2 Introduction to interpolation
|c 4.3 Lagrange approximation
|c 4.4 Newton polynomials
|c 4.5 Chebyshev polynomials (optional)
|c 4.6 Padé approximations
|b 5. Curve fitting
|c 5.1 Least-squares line
|c 5.2 Curve fitting
|c 5.3 Interpolation by spline functions
|c 5.4 Fourier series and trigonometric polynomials
|b 6. Numerical differentiation
|c 6.1 Approximating the derivative
|c 6.2 Numerical differentiation formulas
|b 7. Numerical integration
|c 7.1 Introduction to quadrature
|c 7.2 Composite trapzoidal and Simpson's rule
|c 7.3 Recursive rules and Romberg integration
|c 7.4 Adaptive quadrature
|c 7.5 Gauss-Legendre integration (optional)
|b 8. Numerical optimization
|c 8.1 Minimization of a function
|b 9. Solution of differential equations
|c 9.1 Introduction to differential equations
|c 9.2 Euler's method
|c 9.3 Heun's method
|c 9.4 Taylor series method
|c 9.5 Runge-Kutta methods
|c 9.6 Predictor-corrector methods
|c 9.7 Systems of differential equations
|c 9.8 Boundary value problems
|c 9.9 Finite-difference method
|b 10. SOlution of partial differential equations
|c 10.1 Hyperbolic equations
|c 10.2 Parabolic equations
|c 10.3 Elliptic equations
|b 11. Eigenvalues and Eigenvectors
|c 11.1 Homogeneous systems : the Eignevalue problem
|c 11.2 The power method
|c 11.3 Jacobi's method
|c 11.4 Eigenvalues of symmetric matrices
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| 517 |
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|a Numerical methods for computer science, engineering, and mathematics
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| 606 |
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|3 PPN027219127
|a Analyse numérique
|3 PPN027790517
|x Problèmes et exercices
|2 rameau
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| 606 |
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|3 PPN027219127
|a Analyse numérique
|2 rameau
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| 676 |
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|a 519.4
|v 20
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| 680 |
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|a QA297
|b .M39 1992
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