Updated to reflect the latest version of MATLAB, the second edition of An Introduction to Numerical Methods: A MATLAB® Approach introduces the theory and applications of the most commonly used techniques for solving numerical problems on a computer. It covers a wide range of useful algorithms, each presented with full details so that readers can visualize and interpret each step. This edition includes a chapter on numerical optimization, more on finite elements, and more exercises in each chapter. Emphasis on understanding how the methods work, a simple, direct style, and thorough coverage allow readers to see almost immediate results. A companion CD-ROM supplying many simple MATLAB functions accompanies the text.