Foundations of analysis in the complex domain
著者
書誌事項
Foundations of analysis in the complex domain
（Ellis Horwood series in mathematics and its applications）
E. Horwood, 1992
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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.
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