On The Iteration Of Rational Functions
DOWNLOAD
Download On The Iteration Of Rational Functions PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get On The Iteration Of Rational Functions book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
On The Iteration Of Rational Functions
DOWNLOAD
Author : Joseph Fels Ritt
language : en
Publisher:
Release Date : 1920*
On The Iteration Of Rational Functions written by Joseph Fels Ritt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1920* with categories.
Iteration Of Rational Functions
DOWNLOAD
Author : Alan F. Beardon
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-09-27
Iteration Of Rational Functions written by Alan F. Beardon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-27 with Mathematics categories.
This book focuses on complex analytic dynamics, which dates from 1916 and is currently attracting considerable interest. The text provides a comprehensive, well-organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The coverage extends from early memoirs of Fatou and Julia to important recent results and methods of Sullivan and Shishikura. Many details of the proofs have not appeared in print before.
Iteration Of Rational Functions
DOWNLOAD
Author : Alan F. Beardon
language : en
Publisher: Springer
Release Date : 2000-10-11
Iteration Of Rational Functions written by Alan F. Beardon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-10-11 with Mathematics categories.
This book focuses on complex analytic dynamics, which dates from 1916 and is currently attracting considerable interest. The text provides a comprehensive, well-organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The coverage extends from early memoirs of Fatou and Julia to important recent results and methods of Sullivan and Shishikura. Many details of the proofs have not appeared in print before.
Early Days In Complex Dynamics
DOWNLOAD
Author : Daniel S. Alexander
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Early Days In Complex Dynamics written by Daniel S. Alexander and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
The theory of complex dynamics, whose roots lie in 19th-century studies of the iteration of complex function conducted by Koenigs, Schoder, and others, flourished remarkably during the first half of the 20th century, when many of the central ideas and techniques of the subject developed. This book paints a robust picture of the field of complex dynamics between 1906 and 1942 through detailed discussions of the work of Fatou, Julia, Siegel, and several others.
Progress In Holomorphic Dynamics
DOWNLOAD
Author : Hartje Kriete
language : en
Publisher: CRC Press
Release Date : 1998-05-20
Progress In Holomorphic Dynamics written by Hartje Kriete and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-20 with Mathematics categories.
In the last few decades, complex dynamical systems have received widespread public attention and emerged as one of the most active fields of mathematical research. Starting where other monographs in the subject end, Progress in Holomorphic Dynamics advances the theoretical aspects and recent results in complex dynamical systems, with particular emphasis on Siegel discs. Organized into four parts, the papers in this volume grew out of three workshops: two hosted by the Georg-August-Universität Göttingen and one at the "Mathematisches Forschungsinstitut Oberwolfach." Part I addresses linearization. The authors review Yoccoz's proof that the Brjuno condition is the optimal condition for linearizability of indifferent fixed points and offer a treatment of Perez-Marco's refinement of Yoccoz's work. Part II discusses the conditions necessary for the boundary of a Siegel disc to contain a critical point, builds upon Herman's work, and offers a survey of the state-of-the-art regarding the boundaries of Siegel discs. Part III deals with the topology of Julia sets with Siegel discs and contains a remarkable highlight: C.L. Petersen establishes the existence of Siegel discs of quadratic polynomials with a locally connected boundary. Keller, taking a different approach, explains the relations between locally connected "real Julia sets" with Siegel discs and the abstract concepts of kneading sequences and itineraries. Part IV closes the volume with four papers that review the different directions of present research in iteration theory. It includes discussions on the relations between commuting rational functions and their Julia sets, interactions between the iteration of polynomials and the iteration theory of entire transcendental functions, a deep analysis of the topology of the limbs of the Mandelbrot set, and an overview of complex dynamics in higher dimensions.
Chaotic Dynamical Systems Proceedings Of The Rims Conference
DOWNLOAD
Author : Shigehiro Ushiki
language : en
Publisher: World Scientific
Release Date : 1993-03-16
Chaotic Dynamical Systems Proceedings Of The Rims Conference written by Shigehiro Ushiki and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-03-16 with categories.
This second book in the Stem Cell Repair and Regeneration series provides a deeper exploration of the therapeutic potential of undifferentiated human stem cells.Regenerative medicine is an extremely fast-moving field which is evolving from the initial days of hype and excitement to a more realistic appraisal of the role of stem cells in the treatment of degenerative disorders. The series aims to keep abreast of these changes by combining new knowledge in stem cell biology and therapeutic applications.The current volume contains papers by the field's leading scientists and explores the current knowledge on cell therapy for different diseases and injured organs, including diabetes, liver and heart disease./a
Topics In Analysis And Its Applications
DOWNLOAD
Author : Grigor A. Barsegian
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-05
Topics In Analysis And Its Applications written by Grigor A. Barsegian and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-05 with Mathematics categories.
Most topics dealt with here deal with complex analysis of both one and several complex variables. Several contributions come from elasticity theory. Areas covered include the theory of p-adic analysis, mappings of bounded mean oscillations, quasiconformal mappings of Klein surfaces, complex dynamics of inverse functions of rational or transcendental entire functions, the nonlinear Riemann-Hilbert problem for analytic functions with nonsmooth target manifolds, the Carleman-Bers-Vekua system, the logarithmic derivative of meromorphic functions, G-lines, computing the number of points in an arbitrary finite semi-algebraic subset, linear differential operators, explicit solution of first and second order systems in bounded domains degenerating at the boundary, the Cauchy-Pompeiu representation in L2 space, strongly singular operators of Calderon-Zygmund type, quadrature solutions to initial and boundary-value problems, the Dirichlet problem, operator theory, tomography, elastic displacements and stresses, quantum chaos, and periodic wavelets.
Dynamics Of Transcendental Functions
DOWNLOAD
Author : Xin-Hou Hua
language : en
Publisher: Routledge
Release Date : 2019-01-22
Dynamics Of Transcendental Functions written by Xin-Hou Hua and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-22 with Mathematics categories.
In this extensive work, the authors give a complete self-contained exposition on the subject of classic function theory and the most recent developments in transcendental iteration. They clearly present the theory of iteration of transcendental functions and their analytic and geometric aspects. Attention is concentrated for the first time on the d
Collected Papers Of John Milnor
DOWNLOAD
Author : John Willard Milnor
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Collected Papers Of John Milnor written by John Willard Milnor and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Algebra categories.
Dynamics Of Entire Functions
DOWNLOAD
Author : Cándido Piñeiro
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2025-04-21
Dynamics Of Entire Functions written by Cándido Piñeiro and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-21 with Mathematics categories.
There are very few systematic books on the dynamics of entire functions. Unfortunately, reading these books is often difficult for non-specialists since their proofs are not clearly written, and readers struggle to understand the arguments fully. This book is a comprehensive introduction to the iteration theory of entire complex functions. It is intended to introduce the reader to the key topics in the field and to form a basis for further study. In general, the proofs are more detailed; therefore, the book will also help non-specialist mathematicians become acquainted with complex dynamics. In no sense is this manuscript a complete account of the subject. Nevertheless, the book may also be helpful to young researchers in this field before they tackle more specific works. The book deals with three possible aspects: theory, practice, and computer graphics. In Appendix C, we explained the necessary rudiments of MATLAB RGB images to create computer graphics of different sets considered in the book, such as the sets of Julia and Mandelbrot. In this Appendix, a gallery is also included where beautiful and spectacular images are shown. The author has obtained all these images using MATLAB, most of which are revealed here for the first time.