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9783540942030: Introduction to Perturbation Methods: v. 20 (Texts in Applied Mathematics)

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Sinopsis

This text is intended as an introductory graduate text, dealing with many of the perturbation methods currently used by applied mathematicians, scientists and engineers. The author based his book on a graduate course he has taught several times, and the only prerequisite for the course is a background in differential equations. Each chapter begins with an introductory development of the topic and this usually means examples involving ordinary differential equations. The book covers traditional topics, such as boundary layers and multiple-scales; however, it also contains material arising from current research interest. The latter includes homogenization, slender body theory, symbolic computing and discrete equations.

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Reseña del editor

This text is intended as an introductory graduate text, dealing with many of the perturbation methods currently used by applied mathematicians, scientists and engineers. The author based his book on a graduate course he has taught several times, and the only prerequisite for the course is a background in differential equations. Each chapter begins with an introductory development of the topic and this usually means examples involving ordinary differential equations. The book covers traditional topics, such as boundary layers and multiple-scales; however, it also contains material arising from current research interest. The latter includes homogenization, slender body theory, symbolic computing and discrete equations.

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