000			02281cam a2200289 a 4500
003			CUTN
005			20171206145845.0
008			080520s2008 enk b 001 0 eng
020			_a9780521888615
020			_a0521888611 (hbk. : alk. paper)
082	0	0	_a531.11 _222 _bFAR
100	1		_aFaria, Edson de.
245	1	0	_aMathematical tools for one-dimensional dynamics / _cEdson de Faria, Welington de Melo.
260			_aCambridge, UK ; _aNew York : _bCambridge University Press, _c2008.
300			_avi, 191 p. ; _c24 cm.
440		0	_aCambridge studies in advanced mathematics ; _v115
500			_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 Teichmuller 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.
505			_aPreface; 1. Introduction; 2. Preliminaries in complex analysis; 3. Uniformization and conformal distortion; 4. The measurable Riemann mapping theorem; 5. Holomorphic motions; 6. The Schwarzian derivative and cross-ratio distortion; 7. Appendix: Riemann Surfaces and Teichmuller spaces; Bibliography; Index.
650		0	_aDynamics.
650		0	_aTeichmüller spaces.
650		0	_aRiemann surfaces.
650		0	_aHolomorphic functions.
700	1		_aMelo, Welington de.
942			_2ddc _cBOOKS
504			_aIncludes bibliographical references (p. 185-189) and index.
856	4	1	_3Table of contents only _uhttp://www.loc.gov/catdir/toc/ecip0818/2008021976.html
999			_c24198 _d24198