Exercises in Computational Mathematics with MATLAB [electronic resource] / by Tom Lyche, Jean-Louis Merrien.

1 An Introduction to MATLAB commands -- 2 Matrices and Linear Systems -- 3 Matrices, Eigenvalues and Eigenvectors -- 4 Matrices, Norms and Conditioning -- 5 Iterative Methods -- 6 Polynomial Interpolation -- 7 B�zier Curves and Bernstein Polynomials -- 8 Piecewise Polynomials, Interpolation and Applications -- 9 Approximation of Integrals -- 10 Linear Least Squares Methods -- 11 Continuous and Discrete Approximations -- 12 Ordinary Differential Equations, One Step Methods -- 13 Finite Differences for differential and partial differential equations -- References -- Index of Names -- Subject Index -- MATLAB Index.

Designed to provide tools for independent study, this book contains student-tested mathematical exercises joined with MATLAB programming exercises. � Most chapters open with a review followed by theoretical and programming exercises, with detailed solutions provided for all problems including programs. Many of the MATLAB exercises are presented as Russian dolls: each question improves and completes the previous program and results are provided to validate the intermediate programs. � The book offers useful MATLAB commands, advice on tables, vectors, matrices and basic commands for plotting. It contains material on eigenvalues and eigenvectors and �important norms of vectors and matrices including perturbation theory; iterative methods for solving nonlinear and linear equations; polynomial and piecewise polynomial interpolation; B�zier curves; approximations of� functions and integrals and more. The last two chapters considers ordinary differential equations including two point boundary value problems, and deal with finite difference methods for some partial differential equations. � The format is designed to assist students working alone, with concise Review paragraphs,�Math Hint�footnotes on the mathematical aspects of a problem and�MATLAB Hint�footnotes with tips on programming.