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An Introduction to Numerical Methods and Analysis, Second Edition reflects the latest trends in the field, includes new material and revised exercises, and offers a unique emphasis on applications. The author clearly explains how to both construct and evaluate approximations for accuracy and performance, which are key skills in a variety of fields. A wide range of higher-level methods and solutions, including new topics such as the roots of polynomials, spectral collocation, finite element ideas, and Clenshaw-Curtis quadrature, are presented from an introductory perspective, and the Second Edition also features:
- Chapters and sections that begin with basic, elementary material followed by gradual coverage of more advanced material
- Exercises ranging from simple hand computations to challenging derivations and minor proofs to programming exercises
- Widespread exposure and utilization of MATLAB
- An appendix that contains proofs of various theorems and other material
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James F. Epperson, PhD, is Associate Editor of Mathematical Reviews for the American Mathematical Society. He was previously Associate Professor in the Department of Mathematical Sciences at the University of Alabama in Huntsville. Dr. Epperson received his PhD from Carnegie-Mellon University in 1980. His research interests include the numerical solution of nonlinear evolution equations via finite element and finite difference methods, including error estimates; the use of kernel functions to solve evolution equations; and numerical methods in mathematical finance.
