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Library | Materyal Türü | Barkod | Yer Numarası | Durum |
|---|---|---|---|---|
Searching... Pamukkale Merkez Kütüphanesi | Kitap | 0020902 | QA297.A53 1998 | Searching... Unknown |
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Özet
Özet
Written for graduate students in applied mathematics, engineering and science courses, the purpose of this book is to present topics in "Numerical Analysis" and "Numerical Methods." It will combine the material of both these areas as well as special topics in modern applications. Included at the end of each chapter are a variety of theoretical and computational exercises.
Author Notes
MYRON B. ALLEN III is Professor and Head of Mathematics at the University of Wyoming. He earned his AB at Dartmouth College and an MA and PhD at Princeton University. His research publications include works in numerical analysis, scientific computation, and fluid flows in porous media. ELI L. ISAACSON is Professor Emeritus of Mathematics at the University of Wyoming. He earned his BA, MS, and PhD at the Courant Institute of New York University. His research contributions include articles in differential equations, numerical analysis, and various areas of applied mathematics.
Reviews (1)
Choice Review
Allen and Isaacson offer a valuable addition to the set of first-year graduate texts in numerical analysis. They discuss most of the methods numerical analysts use, proving the theorems necessary for the theoretical justification of each method. Error analysis is also provided and the results theoretically justified. The explanations and theory are clearly written and coherently presented. There are chapters on finite-difference and finite-element methods for solutions of partial differential equations, although the finite-element section is short. In addition to theoretical considerations, the authors also intend to appeal to those interested in "the heuristics and practical aspects of the methods." The book is less successful in this area. Practical considerations are discussed, but often in a theoretical format and not as completely as is sometimes necessary. Other books cater to this emphasis more successfully. Problem sets are sparse, and most instructors would need to supplement them. Recommended for mathematics libraries with a readership of upper-division undergraduates and beginning graduate students, as well as faculty and professionals. J. H. Ellison Grove City College
Table of Contents
| Approximation of Functions |
| Direct Methods for Linear Systems |
| Solution of Nonlinear Equations |
| Iterative Methods for Linear Systems |
| Eigenvalue Problems |
| Numerical Integration |
| Ordinary Differential Equations |
| Difference Methods for PDEs |
| Introduction to Finite Elements |
| Appendices |
| Index |