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.