Introduction to Complex Analysis in Several Variables
By: Scheidemann, Volker [author.].
Contributor(s): SpringerLink (Online service).
Material type:
BookPublisher: Basel : Birkhäuser Basel, 2005.Description: VIII, 171 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783764374914.Subject(s): Mathematics | Functions of complex variables | Mathematics | Functions of a Complex VariableDDC classification: 515.9 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
E books
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PK Kelkar Library, IIT Kanpur | Available | EBK6501 |
Elementary theory of several complex variables -- Continuation on circular and polycircular domains -- Biholomorphic maps -- Analytic Sets -- Hartogs’ Kugelsatz -- Continuation on Tubular Domains -- Cartan-Thullen Theory -- Local Properties of holomorphic functions.
This book gives a comprehensive introduction to complex analysis in several variables. It clearly focusses on special topics in complex analysis rather than trying to encompass as much material as possible. Many cross-references to other parts of mathematics, such as functional analysis or algebras, are pointed out in order to broaden the view and the understanding of the chosen topics. A major focus is extension phenomena alien to the one-dimensional theory, which are expressed in the famous Hartog's Kugelsatz, the theorem of Cartan-Thullen, and Bochner's theorem. The book primarily aims at students starting to work in the field of complex analysis in several variables and teachers who want to prepare a course. To that end, a lot of examples and supporting exercises are inserted throughout the text, which will help students to become acquainted with the subject.
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