| Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory 1999 Edition Contributor(s): Bender, Carl M. (Author), Orszag, Steven a. (Author) |
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ISBN: 0387989315 ISBN-13: 9780387989310 Publisher: Springer OUR PRICE: $94.99 Product Type: Hardcover - Other Formats Published: October 1999 Annotation: This book gives a clear, practical and self-contained presentation of the methods of asymptotics and pertubation theory for obtaining approximate analytical solutions to differential and difference equations. The presentation provides insights that will be useful approaching new problems. |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General - Mathematics | Applied - Science | Physics - General |
| Dewey: 515.35 |
| LCCN: 99044783 |
| Physical Information: 1.6" H x 6.4" W x 9.3" (2.20 lbs) 593 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: The triumphant vindication of bold theories-are these not the pride and justification of our life's work? -Sherlock Holmes, The Valley of Fear Sir Arthur Conan Doyle The main purpose of our book is to present and explain mathematical methods for obtaining approximate analytical solutions to differential and difference equations that cannot be solved exactly. Our objective is to help young and also establiShed scientists and engineers to build the skills necessary to analyze equations that they encounter in their work. Our presentation is aimed at developing the insights and techniques that are most useful for attacking new problems. We do not emphasize special methods and tricks which work only for the classical transcendental functions; we do not dwell on equations whose exact solutions are known. The mathematical methods discussed in this book are known collectively as- asymptotic and perturbative analysis. These are the most useful and powerful methods for finding approximate solutions to equations, but they are difficult to justify rigorously. Thus, we concentrate on the most fruitful aspect of applied analysis; namely, obtaining the answer. We stress care but not rigor. To explain our approach, we compare our goals with those of a freshman calculus course. A beginning calculus course is considered successful if the students have learned how to solve problems using calculus. |