Invariant Sets Under Iteration of Rational Functions
Author | : Hans Brolin |
Publisher | : |
Total Pages | : |
Release | : 1965 |
Genre | : |
ISBN | : |
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Author | : Hans Brolin |
Publisher | : |
Total Pages | : |
Release | : 1965 |
Genre | : |
ISBN | : |
Author | : Hans Brolin |
Publisher | : |
Total Pages | : |
Release | : 1965 |
Genre | : |
ISBN | : |
Author | : Alan F. Beardon |
Publisher | : Springer Science & Business Media |
Total Pages | : 308 |
Release | : 2000-09-27 |
Genre | : Mathematics |
ISBN | : 9780387951515 |
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.
Author | : Norbert Steinmetz |
Publisher | : Walter de Gruyter |
Total Pages | : 201 |
Release | : 2011-07-22 |
Genre | : Mathematics |
ISBN | : 3110889315 |
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. 30 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.
Author | : Herman Rubin |
Publisher | : IMS |
Total Pages | : 442 |
Release | : 2004 |
Genre | : Bayesian statistical decision theory |
ISBN | : 9780940600614 |
Author | : Roderick S C Wong |
Publisher | : World Scientific |
Total Pages | : 659 |
Release | : 2000-06-30 |
Genre | : Mathematics |
ISBN | : 9814493074 |
This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views.
Author | : Heinz-Otto Peitgen |
Publisher | : Springer Science & Business Media |
Total Pages | : 468 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 1475721722 |
Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a collection of independent chapters on the major concepts related to the science and mathematics of fractals. Written at the mathematical level of an advanced secondary student, Fractals for the Classroom includes many fascinating insights for the classroom teacher and integrates illustrations from a wide variety of applications with an enjoyable text to help bring the concepts alive and make them understandable to the average reader. This book will have a tremendous impact upon teachers, students, and the mathematics education of the general public. With the forthcoming companion materials, including four books on strategic classroom activities and lessons with interactive computer software, this package will be unparalleled.
Author | : Michael F. Barnsley |
Publisher | : Courier Corporation |
Total Pages | : 594 |
Release | : 2013-10-03 |
Genre | : Mathematics |
ISBN | : 0486320340 |
Up-to-date text focuses on how fractal geometry can be used to model real objects in the physical world, with an emphasis on fractal applications. Includes solutions, hints, and a bonus CD.
Author | : Robert L. Devaney |
Publisher | : American Mathematical Soc. |
Total Pages | : 223 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : 0821802909 |
The Mandelbrot set has emerged as one of the most recognizable objects in mathematics. While there is no question of its beauty, relatively few people appreciate the fact that the mathematics behind such images is equally beautiful. This book presents lectures delivered during the AMS Short Course entitled Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets, held at the Joint Mathematics Meetings in Cincinnati in January 1994. The lectures cover a wide range of topics, including the classical work of Julia and Fatou on local dynamics of analytic maps as well as recent work on the dynamics of quadratic and cubic polynomials, the geometry of Julia sets, and the structure of various parameter spaces. Among the other topics are recent results on Yoccoz puzzles and tableaux, limiting dynamics near parabolic points, the spider algorithm, extensions of the theory to rational maps, Newton's method, and entire transcendental functions. Much of the book is accessible to anyone with a background in the basics of dynamical systems and complex analysis.
Author | : Qitai Zhuang |
Publisher | : World Scientific |
Total Pages | : 250 |
Release | : 1990 |
Genre | : Mathematics |
ISBN | : 9789810200084 |
The fix-points and factorization of meromorphic functions have become two research topics that have attracted many complex analysts' attention throughout the world; notably in U.S., China, and Japan. The first two chapters reintroduce Nevanlinna's theory of meromorphic functions and Montel's normal families theory for entire functions. Based on these, several theorems on fix-points were derived. The last two chapters introduce the factorization theory and the relationships between the fix-points and factorization; many recent results in factorization theory were reported and related open questions were raised for further study. This book provides a timely introduction to some of the topics that are currently pursued by many complex analysts. For instance, the fix-points of itrates of functions is closely related to the fractal mathematics, which has just been realized to be useful in many branches of engineering and physics as well as in computer graphics.