Introduction to Asymptotics
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Om Introduction to Asymptotics
Many branches of science and engineering involve applications of mathematical analysis. An important part of applied analysis is asymptotic approximation which is, therefore, an active area of research with new methods and publications being found constantly. This book gives an introduction to the subject sufficient for scientists and engineers to grasp the fundamental techniques, both those which have been known for some time and those which have been discovered more recently. The asymptotic approximation of both integrals and differential equations is discussed and the discussion includes hyperasymptotics as well as uniform asymptotics. There are many numerical examples to illustrate the relation between theory and practice. Exercises in the chapters enable the book to be used as a text for an introductory course.Contents:Basic TheoryIntegralsSeriesUniform AsymptoticsHyperasymptoticsDifferential EquationsIntroduction to Nonstandard AnalysisReferencesIndexReadership: General.Key Features:It is the only work to give a full and complete overview of the programmeThere are certain areas which are covered only in this book — e.g. the Black Knight research rocketA large amount of new material has become available in various archives over the past ten years, and this material has been incorporated into the new edition