Introduction to Perturbation Methods

Gebonden Engels 2012 2e druk 9781461454762
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Samenvatting

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.

Specificaties

ISBN13:9781461454762
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:436
Uitgever:Springer New York
Druk:2

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Inhoudsopgave

Preface.- Preface to Second Edition.- Introduction to Asymptotic Approximations.- Matched Asymptotic Expansions.- Multiple Scales.- The WKB and Related Methods.- The Method of Homogenization- Introduction to Bifurcation and Stability.- References.- Index.

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        Introduction to Perturbation Methods