Introduction to Perturbation Methods - Mark H. Holmes

Introduction to Perturbation Methods

(Autor)

Buch | Softcover
438 Seiten
2015 | 2nd ed. 2013
Springer-Verlag New York Inc.
978-1-4899-9613-8 (ISBN)
64,19 inkl. MwSt
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.
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.

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

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.

Erscheint lt. Verlag 28.1.2015
Reihe/Serie Texts in Applied Mathematics ; 20
Zusatzinfo XVIII, 438 p.
Verlagsort New York
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Analysis
ISBN-10 1-4899-9613-3 / 1489996133
ISBN-13 978-1-4899-9613-8 / 9781489996138
Zustand Neuware
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