Singular Perturbation Theory by Lindsay A. Skinner (English) Paperback Book

Description: Singular Perturbation Theory by Lindsay A. Skinner This book is a rigorous presentation of the method of matched asymptotic expansions, the primary tool for attacking singular perturbation problems. Exercises are included as well as several Maple programs for computing the terms of the various asymptotic expansions that arise in solving the problems. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description This book is a rigorous presentation of the method of matched asymptotic expansions, the primary tool for attacking singular perturbation problems. A knowledge of conventional asymptotic analysis is assumed. The first chapter introduces the theory and is followed by four chapters of applications to ordinary differential equation problems of increasing complexity. Exercises are included as well as several Maple programs for computing the terms of the various asymptotic expansions that arise in solving the problems. Notes Rigorourous development and rigorous application of the method of matched asymptotic expansionsContains a number of previously unpublished resultsContains several Maple programs for computing the terms of the various asymptotic expansions that arise in solving the problems Back Cover This book is a rigorous presentation of the method of matched asymptotic expansions, the primary tool for attacking singular perturbation problems. A knowledge of conventional asymptotic analysis is assumed. The first chapter introduces the theory and is followed by four chapters of applications to ordinary differential equation problems of increasing complexity. Exercises are included as well as several Maple programs for computing the terms of the various asymptotic expansions that arise in solving the problems. Table of Contents Uniform Expansion.- First Order Differential Equations.- Second Order Differential Equations.- Logarithm Problems.- Oscillation Problems.- References. Review From the reviews: "For all of us who are still challenged by matched expansions, Skinners short, unique monograph will be valuable." (Robert E. OMalley Jr., SIAM Review, Vol. 53 (4), 2011) Review Quote From the reviews: "The book is composed of five chapters on Uniform Expansion ... . There are a number of exercises at the end of each chapter for those readers who want to try to solve problems to understand the theory described in the chapter. Although the book is aimed at senior or graduate students in applied mathematics, it can as well be used by graduate students in engineering (electrical, mechanical, aerospace) and other researchers working in national labs and industry." (D. Subbaram Naidu, Amazon.com, May, 2013) "The motivation underlying this book is the rigorous development, and application, of the method of matched asymptotic expansions, one of the principal techniques used in the analysis of singularly perturbed differential equation problems ... . Exercises at the end of each section provide problems for further study ... . In sum, this slim volume thus contains a treasure trove of interesting examples of singularly perturbed differential equation problems, many of which do not seem to have been published before." (Nikola Popovi, Mathematical Reviews, Issue 2012 g) "For all of us who are still challenged by matched expansions, Skinners short, unique monograph will be valuable." Feature Rigorourous development and rigorous application of the method of matched asymptotic expansions Contains a number of previously unpublished results Contains several Maple programs for computing the terms of the various asymptotic expansions that arise in solving the problems Details ISBN1441999574 Publisher Springer-Verlag New York Inc. Year 2011 ISBN-10 1441999574 ISBN-13 9781441999573 Format Paperback Imprint Springer-Verlag New York Inc. Place of Publication New York, NY Country of Publication United States Language English Media Book Short Title SINGULAR PERTURBATION THEORY 2 DEWEY 510 Pages 85 Edition 2011th Illustrations X, 85 p. DOI 10.1007/978-1-4419-9958-0 Publication Date 2011-05-18 AU Release Date 2011-05-18 NZ Release Date 2011-05-18 US Release Date 2011-05-18 UK Release Date 2011-05-18 Author Lindsay A. Skinner Edition Description 2011 ed. Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96276075;

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