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Titlebook: Advanced Mathematical Methods for Scientists and Engineers I; Asymptotic Methods a Carl M. Bender,Steven A. Orszag Textbook 1999 Springer S

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期刊全称Advanced Mathematical Methods for Scientists and Engineers I
期刊简称Asymptotic Methods a
影响因子2023Carl M. Bender,Steven A. Orszag
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图书封面Titlebook: Advanced Mathematical Methods for Scientists and Engineers I; Asymptotic Methods a Carl M. Bender,Steven A. Orszag Textbook 1999 Springer S
影响因子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 exp
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Approximate Solution of Linear Differential Equations
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Advanced Mathematical Methods for Scientists and Engineers I978-1-4757-3069-2
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Back Matters given are primarily to the excellent review articles. Many significant discoveries are here omitted. I will however, discuss a few of the ideas then popular so we can trace back some present beliefs to the time when they were beginning to appear dimly out of the fog.
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