The Resource A course in complex analysis : from basic results to advanced topics, Wolfgang Fischer, Ingo Lieb, (electronic resource)

A course in complex analysis : from basic results to advanced topics, Wolfgang Fischer, Ingo Lieb, (electronic resource)

Label
A course in complex analysis : from basic results to advanced topics
Title
A course in complex analysis
Title remainder
from basic results to advanced topics
Statement of responsibility
Wolfgang Fischer, Ingo Lieb
Creator
Contributor
Provider
Subject
Genre
Language
eng
Summary
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 ...) and – a new feature in this context! – to exhibiting basic facts in the theory of several complex variables. Part of the book is a translation of the authors’ German text “Einführung in die komplexe Analysis”; some material was added from the by now almost “classical” text “Funktionentheorie” written by the authors, and a few paragraphs were newly written for special use in a master’s 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
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1936-
http://library.link/vocab/creatorName
Fischer, Wolfgang
Image bit depth
0
LC call number
QA331.7
LC item number
.F57 2012
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorDate
1939-
http://library.link/vocab/relatedWorkOrContributorName
  • SpringerLink
  • Lieb, Ingo
http://library.link/vocab/subjectName
  • mathematics and statistics
  • Functions of complex variables
  • Mathematical analysis
  • Functions of complex variables
  • Mathematical analysis
Label
A course in complex analysis : from basic results to advanced topics, Wolfgang Fischer, Ingo Lieb, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Color
not applicable
Dimensions
unknown
Extent
1 online resource (viii, 272 p.)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783834815767
Level of compression
uncompressed
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (OCoLC)759519759
  • (OCoLC)ocn759519759
Label
A course in complex analysis : from basic results to advanced topics, Wolfgang Fischer, Ingo Lieb, (electronic resource)
Publication
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Color
not applicable
Dimensions
unknown
Extent
1 online resource (viii, 272 p.)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783834815767
Level of compression
uncompressed
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (OCoLC)759519759
  • (OCoLC)ocn759519759

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