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A Course in Complex Analysis: From Basic Results to Advanced Topics
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Catalogue Information
Field name
Details
Dewey Class
515
Title
A Course in Complex Analysis ([Ebook]) : From Basic Results to Advanced Topics / by Wolfgang Fischer, Ingo Lieb.
Author
Fischer, Wolfgang
Added Personal Name
Lieb, Ingo
Other name(s)
SpringerLink (Online service)
Publication
Wiesbaden : Vieweg+Teubner Verlag , 2012.
Physical Details
VIII, 272 pages, 21 illus. : online resource.
ISBN
9783834886613
Summary Note
This carefully written textbook is an introduction to the beautiful concepts and results of complex analysis. It is intended for international bachelor and master programmes in Germany and throughout Europe; in the Anglo-American system of university education the content corresponds to a beginning graduate course. The book presents the fundamental results and methods of complex analysis and applies them to a study of elementary and non-elementary functions (elliptic functions, Gamma- and Zeta function including a proof of the prime number theorem â¦) and â a new feature in this context! â to exhibiting basic facts in the theory of several complex variables. Part of the book is a translation of the authorsâ German text âEinführung in die komplexe Analysisâ; some material was added from the by now almost âclassicalâ text âFunktionentheorieâ written by the authors, and a few paragraphs were newly written for special use in a masterâs programme. Content Analysis in the complex plane - The fundamental theorems of complex analysis - Functions on the plane and on the sphere - Integral formulas, residues and applications - Non-elementary functions - Meromorphic functions of several variables - Holomorphic maps: Geometric aspects Readership Advanced undergraduates (bachelor students) and beginning graduate students (master's programme) Lecturers in mathematics About the authors Professor Dr. Ingo Lieb, Department of Mathematics, University of Bonn Professor Dr. Wolfgang Fischer, Department of Mathematics, University of Bremen:
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-3-8348-8661-3
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Subject References:
Analysis
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Global analysis (Mathematics)
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Mathematics
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Authors:
author
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Fischer, Wolfgang
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Lieb, Ingo
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Corporate Authors:
SpringerLink (Online service)
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Classification:
515
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515 (DDC 23)
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