Ascher, Uri M.

A first course in numerical methods / Uri M. Ascher; Chen Greif. - Philadelphia : SIAM, 2011. - x; 552 p. : figuras - Computational science and engineering .

Numerical algorithms - Roundoff errors - Nonlinear equations in one variable - Linear algebra background - Linear systems: direct methods - Linear least squares problems - Linear systems: iterative methods - Eigenvalues and singular values - Nonlinear systems and optimization - Polynomial interpolation - Piecewise polynomial interpolation - Best approximation - Fourier transform - Numerical differentiation - Numerical integration - Differential equations.

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