000 02913nam a22004095i 4500
001 978-3-8348-8661-3
003 DE-He213
005 20140220083332.0
007 cr nn 008mamaa
008 111020s2012 gw | s |||| 0|eng d
020 _a9783834886613
_9978-3-8348-8661-3
024 7 _a10.1007/978-3-8348-8661-3
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aFischer, Wolfgang.
_eauthor.
245 1 2 _aA Course in Complex Analysis
_h[electronic resource] :
_bFrom Basic Results to Advanced Topics /
_cby Wolfgang Fischer, Ingo Lieb.
264 1 _aWiesbaden :
_bVieweg+Teubner Verlag,
_c2012.
300 _aVIII, 272p. 21 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
520 _aThis 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
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
700 1 _aLieb, Ingo.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783834815767
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-8348-8661-3
912 _aZDB-2-SMA
999 _c103977
_d103977