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โœฆ   LIBER   โœฆ
๐Ÿ“

Multidimensional Residues and Their Applications

โœ Scribed by A. K. Tsikh

Publisher
American Mathematical Society
Year
1992
Tongue
English
Leaves
204
Series
Translations of Mathematical Monographs
Category
Library
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โœฆ Synopsis

The technique of residues is known for its many applications in different branches of mathematics. Tsikh's book presents a systematic account of residues associated with holomorphic mappings and indicates many applications. The book begins with preliminaries from the theory of analytic sets, together with material from algebraic topology that is necessary for the integration of differential forms over chains. Tsikh then presents a detailed study of residues associated with mappings that preserve dimension (local residues). Local residues are applied to algebraic geometry and to problems connected with the investigation and calculation of double series and integrals. There is also a treatment of residues associated with mappings that reduce dimension--that is, residues of semimeromorphic forms, connected with integration over tubes around nondiscrete analytic sets.

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