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Mathematical tools for one-dimension...

Faria, Edson de.

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Mathematical tools for one-dimensional dynamics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical tools for one-dimensional dynamics/ Edson de Faria, Welington de Melo.
Author:	Faria, Edson de.
other author:	Melo, Welington de.
Published:	Cambridge :Cambridge University Press, : 2008.,
Description:	vi, 191 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
[NT 15003449]:	Preliminaries 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.
Subject:	Dynamics. -
Online resource:	https://doi.org/10.1017/CBO9780511755231
ISBN:	9780511755231

Mathematical tools for one-dimensional dynamics
Faria, Edson de.

Mathematical tools for one-dimensional dynamics[electronic resource] /Edson de Faria, Welington de Melo. - Cambridge :Cambridge University Press,2008. - vi, 191 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;115. - Cambridge studies in advanced mathematics ;115..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Preliminaries 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.

Originating 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.

ISBN: 9780511755231Subjects--Topical Terms:

519830
Dynamics.

LC Class. No.: QA845 / .F37 2008

Dewey Class. No.: 531.11

Mathematical tools for one-dimensional dynamics
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100 1 $a Faria, Edson de. $3 1299100
245 1 0 $a Mathematical tools for one-dimensional dynamics $h [electronic resource] / $c Edson de Faria, Welington de Melo.
260 $a Cambridge : $b Cambridge University Press, $c 2008.
300 $a vi, 191 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 115
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Preliminaries 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 $a Originating 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.
650 0 $a Dynamics. $3 519830
650 0 $a Teichmuller spaces. $3 706175
650 0 $a Riemann surfaces. $3 519716
650 0 $a Holomorphic functions. $3 700319
700 1 $a Melo, Welington de. $3 706131
830 0 $a Cambridge studies in advanced mathematics ; $v 115. $3 3470638
856 4 0 $u https://doi.org/10.1017/CBO9780511755231