Introduction to Perturbation Methods | Buch

Cover: 9781461454762 | Introduction to Perturbation Methods | Mark H. Holmes | Buch | 2012

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

Mark Holmes has written a number of successful textbooks and is Professor at Rensselaar Polytechnic Institute.

Zusammenfassung

Lots of examples and exercises

Class test for over 20 years

Includes delay equations

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2012
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Texts in Applied Mathematics
Inhalt:	xviii 438 S.
ISBN-13:	9781461454762
ISBN-10:	146145476X
Sprache:	Englisch
Herstellernummer:	80084814
Ausstattung / Beilage:	HC gerader Rücken kaschiert
Einband:	Gebunden
Autor:	Holmes, Mark H.
Auflage:	2nd ed. 2013
Hersteller:	Springer New York Springer US, New York, N.Y. Texts in Applied Mathematics
Maße:	241 x 160 x 29 mm
Von/Mit:	Mark H. Holmes
Erscheinungsdatum:	05.12.2012
Gewicht:	0,846 kg

Artikel-ID: 106325122