Introduction to asymptotics : a treatment using nonstandard analysis

書誌事項

Introduction to asymptotics : a treatment using nonstandard analysis

D.S. Jones

World Scientific, c1997

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

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.

目次

  • Basic theory
  • integrals
  • series
  • uniform asymptotics
  • hyperasymptotics
  • differential equations
  • introduction to nonstandard analysis.

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詳細情報

  • NII書誌ID(NCID)
    BA29452904
  • ISBN
    • 9810229151
  • LCCN
    96036521
  • 出版国コード
    si
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Singapore
  • ページ数/冊数
    x, 165 p.
  • 大きさ
    23 cm
  • 分類
  • 件名
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