Advanced Mathematical Methods for Scientists and Engineers I : Asymptotic Methods and Perturbation Theory

Steven A. Orszag

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Language: English

Published by Humana, 1999

0387989315 / 9780387989310

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nach der Bestellung gedruckt Neuware - Printed after ordering - 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.

Seller Inventory # 9780387989310

Title
Advanced Mathematical Methods for Scientists and Engineers I : Asymptotic Methods and Perturbation Theory
Author
Steven A. Orszag
Publisher
Humana
Publication year
1999
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0387989315
ISBN 13
9780387989310
Item weight
1,068 grams
Dimensions
241x160x38 mm

AHA-BUCH GmbH

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