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Introduction to complex analysis in ...

Scheidemann, Volker.

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Introduction to complex analysis in several variables

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Introduction to complex analysis in several variables/ by Volker Scheidemann.
作者:	Scheidemann, Volker.
出版者:	Cham :Springer Nature Switzerland : : 2023.,
面頁冊數:	xii, 229 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Functions of several complex variables. -
電子資源:	https://doi.org/10.1007/978-3-031-26428-3
ISBN:	9783031264283

Introduction to complex analysis in several variables
Scheidemann, Volker.

Introduction to complex analysis in several variables[electronic resource] /by Volker Scheidemann. - Second edition. - Cham :Springer Nature Switzerland :2023. - xii, 229 p. :ill. (some col.), digital ;24 cm. - Compact textbooks in mathematics,2296-455X. - Compact textbooks in mathematics..

This book gives a comprehensive introduction to complex analysis in several variables. While it focusses on a number of topics in complex analysis rather than trying to cover as much material as possible, references to other parts of mathematics such as functional analysis or algebras are made to help broaden the view and the understanding of the chosen topics. A major focus are 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 aims primarily at students starting to work in the field of complex analysis in several variables and instructors preparing a course. To that end, a lot of examples and supporting exercises are provided throughout the text. This second edition includes hints and suggestions for the solution of the provided exercises, with various degrees of support.

ISBN: 9783031264283

Standard No.: 10.1007/978-3-031-26428-3doiSubjects--Topical Terms:

526094
Functions of several complex variables.

LC Class. No.: QA331.7 / .S34 2023

Dewey Class. No.: 515.94

Introduction to complex analysis in several variables
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520 $a This book gives a comprehensive introduction to complex analysis in several variables. While it focusses on a number of topics in complex analysis rather than trying to cover as much material as possible, references to other parts of mathematics such as functional analysis or algebras are made to help broaden the view and the understanding of the chosen topics. A major focus are 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 aims primarily at students starting to work in the field of complex analysis in several variables and instructors preparing a course. To that end, a lot of examples and supporting exercises are provided throughout the text. This second edition includes hints and suggestions for the solution of the provided exercises, with various degrees of support.
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