000 | 02913nam a22004095i 4500 | ||
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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 |
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024 | 7 |
_a10.1007/978-3-8348-8661-3 _2doi |
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050 | 4 | _aQA299.6-433 | |
072 | 7 |
_aPBK _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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082 | 0 | 4 |
_a515 _223 |
100 | 1 |
_aFischer, Wolfgang. _eauthor. |
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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. |
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300 |
_aVIII, 272p. 21 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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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. |
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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 |