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A Course in Complex...
A Course in Complex Analysis From Basic Results to Advanced Topics / by Wolfgang Fischer, Ingo Lieb.
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Fischer, Wolfgang. (författare)
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Lieb, Ingo. (författare)
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- ISBN 9783834886613
- Wiesbaden : Vieweg+Teubner Verlag, 2012
- Engelska VIII, 272p. 21 illus.
- Relaterad länk:
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http://dx.doi.org/10... (Table of Contents / Abstracts) (856other)
Abstract
Ämnesord
Stäng
- 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. <br> 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.<br> <br> Content<br> 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<br> <br> Readership<br> Advanced undergraduates (bachelor students) and beginning graduate students (master's programme) <br> Lecturers in mathematics<br> About the authors<br> Professor Dr. Ingo Lieb, Department of Mathematics, University of Bonn<br> Professor Dr. Wolfgang Fischer, Department of Mathematics, University of Bremen
Ämnesord
- Mathematics. (LCSH)
- Global analysis (Mathematics). (LCSH)
- Mathematics.
- Analysis.
Publikations- och innehållstyp
- QA299.6-433 (LCC)
- MAT034000 (ämneskategori)
- 515 (DDC)
- Td (kssb/8 (machine generated))
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