Exercises in Computational Mathematics with MATLAB

Merrien Jean-Louis Lyche Tom

ISBN 10: 3662435101 / ISBN 13: 9783662435106

Published by Springer, 2014

About this Item

pp. xii + 372 136 Illus. (90 Col.). Seller Inventory # 135017995

Bibliographic Details

Title: Exercises in Computational Mathematics with ...

Publisher: Springer

Publication Date: 2014

Binding: Hardcover

Condition: New

About this title

Synopsis:

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; Bézier 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.

About the Author:

Both authors have a long experience, at university and engineering school, in teaching numerical methods and numerical analysis. The authors started research collaboration a few years ago. They realized that they had complementary approaches to mathematical research and teaching. They think that combining these approaches gives an interesting perspective for an original book.

Tom Lyche has received the Dagstuhl foundation’s John Gregory Memorial Award for "Outstanding contributions to geometric modeling" and is a member of Norwegian Academy of Science and Letters. He has published more than 85 papers in leading international journals and refereed proceedings, edited 14 books and is on the editorial board of 4 international journals.

Jean-Louis Merrien is active as a researcher on subdivision and has published the book “Analyse Numerique avec Matlab”, Dunod, Paris 2007.