Foundations of analysis in the complex domain
Author(s)
Bibliographic Information
Foundations of analysis in the complex domain
(Ellis Horwood series in mathematics and its applications)
E. Horwood, 1992
Available at 17 libraries
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
This book looks at the boundary behaviour of conformal mappings, including an introduction to the topic of prime-ends theory. It includes an exposition of the theory of analytical functions, incorporating operations and reviewing the applications of both theories to vector fields.
Table of Contents
- The Gauss plane
- functions of the complex variable
- curves
- Eilenberg's theorem and its consequences
- curvilinear integral and primitive functions
- Cauchy's theorem and its consequences
- Laurent's expansions, the residue theorem
- meromorphic functions
- conformal mappings
- extensions of conformal mappings
- the Cauchy-Goursat theorem
- introduction to the theory of conformal mappings of multiply connected regions
- analytic functions
- applications to the theory of plane vector fields.
by "Nielsen BookData"