Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory free ebook download.

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Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory free ebook download

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Mathematics

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Catalogue

Author(s):	Carl M. Bender, Steven A. Orszag

Date:	1999	Format:	pdf	Language:	English	ISBN/ASIN:	0387989315
Pages:	605	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	6/6/2024 9:27:15 AM

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0387989315 pdf
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.

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3261411	Book	https://nitroflare.com/view/E5378A47BBF5...		20.00	eternal

Tags: Advanced Asymptotic Engineers Mathematical Methods Methods Perturbation Scientists Theory

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