Advanced Mathematical Methods for Scientists and Engineers
by Carl M. Bender, Steven A. Orszag (Author)
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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 show more 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. show lessTags
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Originally published in 1978, Advanced Mathematical Methods for Scientists and Engineers was reprinted in 1999 with the title: Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory. Cited thousands of times in the scholarly literature, this is a seminal work in Engineering Mathematics.
Part of a LibraryThing collection of Classic Engineering Books: http://dld.bz/ClassicEngineering
Part of a LibraryThing collection of Classic Engineering Books: http://dld.bz/ClassicEngineering
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- Advanced Mathematical Methods for Scientists and Engineers
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- English
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- Paper, Ebook
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- 6
