| 000 | 02601nam a22003978i 4500 | ||
|---|---|---|---|
| 001 | CR9780511755231 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160223.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 100422s2008||||enk o ||1 0|eng|d | ||
| 020 | _a9780511755231 (ebook) | ||
| 020 | _z9780521888615 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
||
| 050 | 0 | 0 |
_aQA845 _b.F37 2008 |
| 082 | 0 | 0 |
_a531/.11 _222 |
| 100 | 1 |
_aFaria, Edson de, _eauthor. |
|
| 245 | 1 | 0 |
_aMathematical tools for one-dimensional dynamics / _cEdson de Faria, Welington de Melo. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2008. |
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| 300 |
_a1 online resource (vi, 191 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aCambridge studies in advanced mathematics ; _v115 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 505 | 0 | _aPreliminaries in complex analysis -- Uniformization and conformal distortion -- The measurable Riemann mapping theorem -- Holomorphic motions -- Schwarzian derivative and cross-ratio distortion -- App. Riemann surfaces and Teichmuller spaces. | |
| 520 | _aOriginating with the pioneering works of P. Fatou and G. Julia, the subject of complex dynamics has seen great advances in recent years. Complex dynamical systems often exhibit rich, chaotic behavior, which yields attractive computer generated pictures, for example the Mandelbrot and Julia sets, which have done much to renew interest in the subject. This self-contained book discusses the major mathematical tools necessary for the study of complex dynamics at an advanced level. Complete proofs of some of the major tools are presented; some, such as the Bers-Royden theorem on holomorphic motions, appear for the very first time in book format. An appendix considers Riemann surfaces and Teichmüller theory. Detailing the very latest research, the book will appeal to graduate students and researchers working in dynamical systems and related fields. Carefully chosen exercises aid understanding and provide a glimpse of further developments in real and complex one-dimensional dynamics. | ||
| 650 | 0 | _aDynamics. | |
| 650 | 0 | _aTeichmüller spaces. | |
| 650 | 0 | _aRiemann surfaces. | |
| 650 | 0 | _aHolomorphic functions. | |
| 700 | 1 |
_aMelo, Welington de, _eauthor. |
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| 776 | 0 | 8 |
_iPrint version: _z9780521888615 |
| 830 | 0 |
_aCambridge studies in advanced mathematics ; _v115. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511755231 |
| 999 |
_c516948 _d516946 |
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