SPRINGER A COURSE IN COMPLEX ANALYSIS 2012 RETAIL EBOOK-kE

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