An introduction to numerical methods and analysis
This reader-friendly book explores where approximation methods come from, why they work, why they sometimes don't work, and when to use which of the many techniques that are available. Each chapter begins with the basic, elementary material and gradually builds up to more advanced topics. Likewise, exercises run from simple hand computations, to challenging derivations and minor proofs, to programming exercises. Various sections have been revised to reflect recent trends and updates in the field and eleven new exercises have been added throughout including: Basins of Attraction; Roots of Polynomials I; Radial Basis Function Interpolation; Tension Splines; An Introduction to Galerkin/Finite Element Ideas for BVPs; Broyden's Method; Roots of Polynomials, II; Spectral/collocation methods for PDEs; Algebraic Multigrid Method; Trigonometric interpolation/Fourier analysis; and Monte Carlo methods.
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