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

Call Number	531/.11
Author	Faria, Edson De, author.
Title	Mathematical tools for one-dimensional dynamics / Edson de Faria, Welington de Melo.
Physical Description	1 online resource (vi, 191 pages) : digital, PDF file(s).
Series	Cambridge studies in advanced mathematics ; 115
Notes	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Contents	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.
Summary	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 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.
Added Author	Melo, Welington De, author.
Subject	DYNAMICS. Teichmüller spaces. RIEMANN SURFACES. HOLOMORPHIC FUNCTIONS.
Multimedia	https://doi.org/10.1017/CBO9780511755231

Total Ratings: 0

Copies
MARC Record
Reviews
Details


No records found to display.

02681nam a22004218i 4500

001

vtls001585355

003

VRT

005

20200921122600.0

006

m|||||o||d||||||||

007

cr||||||||||||

008

200921s2008||||enk o ||1 0|eng|d

020

$a 9780511755231 (ebook)

020

$z 9780521888615 (hardback)

035

$a (UkCbUP)CR9780511755231

039

$y 202009211226 $z santha

040

$a UkCbUP $b eng $e rda $c UkCbUP

050

$a QA845 $b .F37 2008

082

$a 531/.11 $2 22

100

$a Faria, Edson De, $e author.

245

$a Mathematical tools for one-dimensional dynamics / $c Edson de Faria, Welington de Melo.

264

$a Cambridge : $b Cambridge University Press, $c 2008.

300

$a 1 online resource (vi, 191 pages) : $b digital, PDF file(s).

336

$a text $b txt $2 rdacontent

337

$a computer $b c $2 rdamedia

338

$a online resource $b cr $2 rdacarrier

490

$a Cambridge studies in advanced mathematics ; $v 115

500

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

505

$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 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

$a DYNAMICS.

650

$a Teichmüller spaces.

650

$a RIEMANN SURFACES.

650

$a HOLOMORPHIC FUNCTIONS.

700

$a Melo, Welington De, $e author.

776

$i Print version: $z 9780521888615

830

$a Cambridge studies in advanced mathematics ; $v 115.

856

$u https://doi.org/10.1017/CBO9780511755231

999

$a VIRTUA

No Reviews to Display

Summary	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 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.
Notes	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Contents	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. Teichmüller spaces. RIEMANN SURFACES. HOLOMORPHIC FUNCTIONS.
Multimedia	https://doi.org/10.1017/CBO9780511755231