Introduction to Perturbation Methods

Nonfiction, Science & Nature, Mathematics, Differential Equations, Mathematical Analysis
Cover of the book Introduction to Perturbation Methods by Mark H. Holmes, Springer New York
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Author: Mark H. Holmes ISBN: 9781461454779
Publisher: Springer New York Publication: December 5, 2012
Imprint: Springer Language: English
Author: Mark H. Holmes
ISBN: 9781461454779
Publisher: Springer New York
Publication: December 5, 2012
Imprint: Springer
Language: English

This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary layers and multiple scales. However, it also contains material arising from current research interest, including homogenisation, slender body theory, symbolic computing, and discrete equations. Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas.

One hundred new pages added including new material on  transcedentally small terms, Kummer's function, weakly coupled oscillators and wave interactions.

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This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary layers and multiple scales. However, it also contains material arising from current research interest, including homogenisation, slender body theory, symbolic computing, and discrete equations. Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas.

One hundred new pages added including new material on  transcedentally small terms, Kummer's function, weakly coupled oscillators and wave interactions.

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