| 000 | 02605nam a22003975i 4500 | ||
|---|---|---|---|
| 001 | u373052 | ||
| 003 | SIRSI | ||
| 005 | 20160812084128.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110818s2011 sz | s |||| 0|eng d | ||
| 020 |
_a9783034800785 _9978-3-0348-0078-5 |
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| 040 | _cMX-MeUAM | ||
| 050 | 4 | _aQA331-355 | |
| 082 | 0 | 4 |
_a515.9 _223 |
| 100 | 1 |
_aAlpay, Daniel. _eauthor. |
|
| 245 | 1 | 2 |
_aA Complex Analysis Problem Book _h[recurso electrónico] / _cby Daniel Alpay. |
| 264 | 1 |
_aBasel : _bSpringer Basel, _c2011. |
|
| 300 |
_aX, 526p. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
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| 505 | 0 | _aPrologue -- I Complex numbers -- 1 Complex numbers: algebra -- 2 Complex numbers: geometry -- 3 Complex numbers and analysis -- 4. Remarks and generalizations: quaternions, etc -- II Functions of a complex variable -- 5 C-differentiable functions -- 6 Cauchy's theorem -- 7 First applications -- 8 Laurent expansions and applications -- 9 Computations of definite integrals -- 10 Harmonic functions -- 11 Conformal mappings.-III Complements -- 12 Some useful theorems -- 13 Some topology -- References -- Index. | |
| 520 | _aThis is a collection of exercises in the theory of analytic functions, with completed and detailed solutions. We wish to introduce the student to applications and aspects of the theory of analytic functions not always touched upon in a first course. Using appropriate exercises show the students some aspects of what lies beyond a first course in complex variables. We also discuss topics of interest for electrical engineering students (for instance, the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). Examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space) are given. The book also includes a part where relevant facts from topology, functional analysis and Lebesgue integration are reviewed. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aFunctions of complex variables. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aFunctions of a Complex Variable. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783034800778 |
| 856 | 4 | 0 |
_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-0348-0078-5 |
| 596 | _a19 | ||
| 942 | _cLIBRO_ELEC | ||
| 999 |
_c200932 _d200932 |
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