A Course in Complex Analysis From Basic Results to Advanced Topics

Author/creator Fischer, Wolfgang Author
Other author Lieb,Ingo Author
Other author Cannizzo,Jan Translator
Format Electronic
Publication InfoWiesbaden : Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH Secaucus : Springer [Distributor]
Descriptionviii, 272 p. ill 24.000 x 016.800 cm.
Supplemental ContentFull text available from Springer Nature - Springer Mathematics and Statistics eBooks 2012 English International
Supplemental ContentFull text available from Springer Books
Subjects

Summary Annotation 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 masters programme.ContentAnalysis 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 aspectsReadershipAdvanced undergraduates (bachelor students) and beginning graduate students (master's programme) Lecturers in mathematicsAbout the authorsProfessor Dr. Ingo Lieb, Department of Mathematics, University of BonnProfessor Dr. Wolfgang Fischer, Department of Mathematics, University of Bremen
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
ISBN9783834815767
ISBN3834815764 (Trade Paper) Active Record
Standard identifier# 9783834815767
Stock number3834815764 00713190