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TITLE: A COURSE IN COMPLEX ANALYSIS: FROM BASIC RESULTS TO
ADVANCED TOPICS
PUBLISHER: SPRINGER LANGUAGE: ENGLISH
LINK: http://is.gd/E6QUEe RELEASE TYPE: RETAIL
FORMAT: PDF RELEASE DATE: 2014.03.17
ISBN: 9783834886613 STORE DATE: 2012
SAVED.MONEY: 28 EURO DISKCOUNT: 01 x 05MB
AUTHOR: FISCHER, WOLFGANG, LIEB, INGO
BOOK
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
"Einfuehrung 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
