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Several Complex Variables and Analytic Spaces

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Author:Dave Rusin; The Mathematical Atlas
Description: A short article designed to provide an introduction to several complex variables, the study of (differentiable) functions of more than one complex variable. The rigid constraints imposed by complex differentiability imply that, at least locally, these functions behave almost like polynomials. In particular, study of the related spaces tends to resemble algebraic geometry, except that tools of analysis are used in addition to algebraic constructs. Differential equations on these spaces and automorphisms of them provide useful connections with these other areas. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus.

Levels: College
Languages: English
Resource Types: Articles
Math Topics: Several Complex Vars./Analytic Spaces

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