| 000 | 03039cam a2200313Ii 4500 | ||
|---|---|---|---|
| 001 | 9780429115066 | ||
| 008 | 180330s2004 fluab ob 001 0 eng d | ||
| 020 |
_a9780429115066 _q(e-book : PDF) |
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| 020 |
_z9781584884781 _q(hardback) |
||
| 024 | 7 |
_a10.1201/b15886 _2doi |
|
| 035 | _a(OCoLC)55535023 | ||
| 050 | 4 |
_aQA300 _b.T887 2004 |
|
| 072 | 7 |
_aMAT _x037000 _2bisacsh |
|
| 072 | 7 |
_aMAT _x003000 _2bisacsh |
|
| 082 | 0 | 4 |
_a515 _223 |
| 100 | 1 |
_aTutschke, Wolfgang, _eauthor. _911485 |
|
| 245 | 1 | 3 |
_aAn introduction to complex analysis : _bclassical and modern approaches / _cby Wolfgang Tutschke and Harkrishan L. Vasudeva. |
| 250 | _aFirst edition. | ||
| 264 | 1 |
_aBoca Raton, FL : _bCRC Press, an imprint of Chapman and Hall/CRC, _c2004. |
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| 300 |
_a1 online resource (480 pages) : _b52 illustrations |
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| 505 | 0 | 0 | _tchapter 1 Preliminaries -- chapter 2 The classical approach to complex analysis -- chapter 3 An alternative approach to complex analysis -- chapter 4 Local properties of holomorphic functions -- chapter 5 Global properties of holomorphic functions -- chapter 6 Isolated singularities -- chapter 7 Homotopy -- chapter 8 Residue theory -- chapter 9 Applications of residue calculus -- chapter 10 Mapping properties of holomorphic and meromorphic functions -- chapter 11 Special holomorphic and meromorphic functions -- chapter 12 Boundary value problems. |
| 520 | 3 | _aLike real analysis, complex analysis has generated methods indispensable to mathematics and its applications. Exploring the interactions between these two branches, this book uses the results of real analysis to lay the foundations of complex analysis and presents a unified structure of mathematical analysis as a whole.To set the groundwork and mitigate the difficulties newcomers often experience, An Introduction to Complex Analysis begins with a complete review of concepts and methods from real analysis, such as metric spaces and the Green-Gauss Integral Formula. The approach leads to brief, clear proofs of basic statements - a distinct advantage for those mainly interested in applications. Alternate approaches, such as Fichera's proof of the Goursat Theorem and Estermann's proof of the Cauchy's Integral Theorem, are also presented for comparison. Discussions include holomorphic functions, the Weierstrass Convergence Theorem, analytic continuation, isolated singularities, homotopy, Residue theory, conformal mappings, special functions and boundary value problems. More than 200 examples and 150 exercises illustrate the subject matter and make this book an ideal text for university courses on complex analysis, while the comprehensive compilation of theories and succinct proofs make this an excellent volume for reference. | |
| 650 | 0 |
_aMathematical analysis. _911486 |
|
| 700 | 1 |
_aVasudeva, Harkrishan L., _eauthor. _911487 |
|
| 710 | 2 |
_aCRC Press. _910740 |
|
| 776 | 0 | 8 |
_iPrint version: _z9781584884781 _w(DLC) 2004052889 |
| 856 | 4 | 0 |
_uhttps://www.taylorfrancis.com/books/9781420057218 _zClick here to view. |
| 942 | _cEBK | ||
| 999 |
_c69981 _d69981 |
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