E Book

Introduction to Complex Analysis in Several Variables

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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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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

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Penerbit

Basel : Birkhauser., 2005

Deskripsi Fisik

VIII, 171 p.online resource.

Bahasa

English

ISBN/ISSN

9783764374914

Klasifikasi

515.9

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

1st ed. 2005.

Subjek

Functions of complex variables.
Functions of a Complex Variable.

Info Detail Spesifik

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Pernyataan Tanggungjawab

Volker Scheidemann.

Versi lain/terkait

Lampiran Berkas

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