Applied Numerical Methods with MATLAB for Engineers and Scientists,

This book is designed to support a one-semester course in numerical  methods. It has been written for students who want to learn and apply  numerical methods in order to solve problems in engineering and science.  As such, the methods are motivated by problems rather than by  mathematics. That said, sufficient theory is provided so that students  come away with insight into the techniques and their shortcomings.

MATLAB  provides a great environment for such a course. Although other  environments (e.g., Excel/VBA, Mathcad) or languages (e.g., Fortran 90,  C++, Python) could have been chosen, MATLAB presently offers a nice  combination of handy programming features with powerful built-in  numerical capabilities. On the one hand, its M-file programming  environment allows students to implement moderately complicated  algorithms in a structured and coherent fashion. On the other hand, its  built-in, numerical capabilities empower students to solve more  difficult problems without trying to “reinvent the wheel.”

Algorithms  Presented Using MATLAB M-files. Instead of using pseudocode, this book  presents algorithms as well-structured MATLAB M-files. Aside from being  useful computer programs, these provide students with models for their  own M-files that they will develop as homework exercises.