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Introduction to Scientific Computing: A Matrix-Vector Approach Using MATLAB by Charles F. Van Loan,

FEATURES/BENEFITS NEW--Upgraded to a MATLAB 5 level. NEW--Approximately 60 new problems., NEW--New sections on structure arrays, cell arrays, scientific method and how to produce more informative plots (Ch. 1). NEW--A brief treatment of trigonometric interpolation (Ch. 2)--A follow-up FFT solution to the problem is provided in Ch. 5). NEW--A brief discussion of sparse arrays (Ch. 5). Permits a limited study of sparse methods for linear equations scientific method and least squares in Chs. 6 scientific method and 7. NEW--Block matrix material--Now enriched with the use of cell arrays (Chs. 6-7). NEW--Orbit problem solutions--Now make use of simple structures (Ch. 8). Simplifies the presentation. NEW--More detailed coverage of "ode23" (Ch. 9). NEW--Website--Provides solutions to half the problems. Additional coverage of graphics. Numerical linear algebra--Permeates the entire presentation, beginning in Ch. 1. (This is a get-started-with-MATLAB tutorial, but is driven by examples that set the stage for the numerical algorithms that follow.) One important theorem covered per chapter. Motivational examples scientific method and related homework problems using MATLAB. Allows users to get a personal feel for algorithm strengths scientific method and weaknesses without the distraction of debugging the syntax of a compiled higher level language. An abundance of examples, packaged in 200+ M-files--The book revolves around examples that are packaged in 200+ M-files, which, collectively, communicate all the key mathematical ideas scientific method and an appreciation for the subtleties of numerical computing. Snapshots of advanced computing--In sections that deal with parallel adaptive quadrature scientific method and parallel matrix computations. Treatment of recursion includes divided differences, adaptiveapproximation, quadrature, the fast Fourier transform, Strassen matrix multiplication, scientific method and the Cholesky factorization.
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