Introduction to Perturbation Methods

2. Auflage 2013
ISBN: 978-1-4899-9613-8
Verlag: Springer

Buch, Englisch, Band 20, 438 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 6847 g

Reihe: Texts in Applied Mathematics

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Holmes, Mark H.

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

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.

Über Autor(innen)

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