A course in numerical analysis has become accepted as an important ingredient in the undergraduate education of engineers and scientists. Numerical Methods in Engineering and Science reflects my experience in teaching such a course for several years. Related work in industry and research has influenced my choice of content and method of presentation.
Most students at the undergraduate level will have had, at the very least, an introductory course in ordinary differential equations. Tutorial appendixes on complex variables, determinants, partial differentiation, and Taylor expansions arc included at the end of this book. Other background material is developed as needed. For example. Chapter 2 (linear equations) begins with an outline of matrix algebra: this will represent review material for some students, but it will spare others the necessity of consulting references. Proofs for almost all results of importance are given, in what I hope is palatable form. Overall, the book should be reasonably self-contained.
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