Complex variables and transform calculus

書誌事項

Complex variables and transform calculus

by M. Rahman

Computational Mechanics Publications, c1997

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注記

Includes bibliographical references (p. 314-315) and index

内容説明・目次

内容説明

Based on a series of lectures given by the author this text is designed for undergraduate students with an understanding of vector calculus, solution techniques of ordinary and partial differential equations and elementary knowledge of integral transforms. It will also be an invaluable reference to scientists and engineers who need to know the basic mathematical development of the theory of complex variables in order to solve field problems. The theorems given are well illustrated with examples.

目次

  • Complex numbers
  • analytic functions of a complex variable
  • complex integration
  • series expansion
  • the theory of residues
  • conformal mapping
  • applications to physical problems
  • analytic continuation. (Part contents).

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