Iteration Of Rational Functions
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Iteration Of Rational Functions
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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.
Rational Iteration
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Author : Norbert Steinmetz
language : en
Publisher: Walter de Gruyter
Release Date : 1993
Rational Iteration written by Norbert Steinmetz and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob. Titles in planning include Flavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures, and Applications to Parabolic Problems (2019) Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019) Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic and Computational Models for Fractional Calculus, second edition (2020) Mariusz Lemańczyk, Ergodic Theory: Spectral Theory, Joinings, and Their Applications (2020) Marco Abate, Holomorphic Dynamics on Hyperbolic Complex Manifolds (2021) Miroslava Antic, Joeri Van der Veken, and Luc Vrancken, Differential Geometry of Submanifolds: Submanifolds of Almost Complex Spaces and Almost Product Spaces (2021) Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)
Iteration Of Rational Functions Of One Complex Variable And Basins Of Attractive Fixed Points
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Author : Gregg Willard Saunders
language : en
Publisher:
Release Date : 1984
Iteration Of Rational Functions Of One Complex Variable And Basins Of Attractive Fixed Points written by Gregg Willard Saunders and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
Iteration Of Rational Functions
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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.
On The Iteration Of Rational Functions
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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.
Random Iteration Of Rational Functions
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Author : David Simmons
language : en
Publisher:
Release Date : 2012
Random Iteration Of Rational Functions written by David Simmons and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Functions categories.
Dynamics Of Entire Functions
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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.
Analytic Endomorphisms Of The Riemann Sphere
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Author : Mariusz Urbański
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-09-05
Analytic Endomorphisms Of The Riemann Sphere written by Mariusz Urbański 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 2023-09-05 with Mathematics categories.
Complex dynamics is one of the most fascinating subjects of study and research in mathematics. This third volume in the series entitled Non-Invertible Dynamical Systems not only examines topological and analytical properties of the iteration of rational functions on the Riemann sphere (in particular, the Fatou and Julia sets) but also focuses on thermodynamic, ergodic and fractal properties of these functions (notably, equilibrium states, Bowen's formula and Sullivan’s conformal measures). This volume builds on the first two volumes in the series while simultaneously developing some methods and techniques specific to rational functions.
Transactions Of The Army Conference On Applied Mathematics And Computing
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Author :
language : en
Publisher:
Release Date : 1986
Transactions Of The Army Conference On Applied Mathematics And Computing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Computable functions categories.
Dynamics Of Transcendental Functions
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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