Description

Book Synopsis
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.

Table of Contents
Basic theory; integrals; series; uniform asymptotics; hyperasymptotics; differential equations; introduction to nonstandard analysis.

Introduction To Asymptotics - A Treatment Using

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    A Hardback by Douglas S Jones

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      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: Publication Date: 16/01/1997
      ISBN13: 9789810229153, 978-9810229153
      ISBN10: 9810229151

      Description

      Book Synopsis
      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.

      Table of Contents
      Basic theory; integrals; series; uniform asymptotics; hyperasymptotics; differential equations; introduction to nonstandard analysis.

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