Mark H. Holmes

Introduction to Perturbation Methods (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 356
• Erscheinungstermin: 1. Dezember 2013
• Englisch
• ISBN-13: 9781461253471
• Artikelnr.: 44042700

Autorenporträt

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

Inhaltsangabe

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.

Rezensionen

From the reviews of the second edition: "The book is composed of 6 chapters with the topics of Introduction to Asymptotic Approximations, Matched Asymptotic Expansions ... Second-Order Difference Equations, and Delay Equations. ... enjoyed reading this book that has a refreshing flavor to perturbation methods. ... The book can be used for both undergraduate and graduate courses in mathematics and physics and also in aerospace, electrical and mechanical engineering areas. Those working in industry will find this book useful in addressing some of the nonlinear problems in real-world situations." (D. Subbaram Naidu, Amazon.com, March, 2013)