Rational Iteration

Author : Norbert Steinmetz
Publisher : Walter de Gruyter
Page : 201 pages
File Size : 51,8 Mb
Release : 2011-07-22
Category : Mathematics
ISBN : 9783110889314

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Rational Iteration by Norbert Steinmetz Pdf

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 : Alan F. Beardon
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 40,6 Mb
Release : 2000-09-27
Category : Mathematics
ISBN : 0387951512

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Iteration of Rational Functions by Alan F. Beardon Pdf

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 : W Forg-rob,Norbert Netzer,Christian Mira,Gyoergy Targonski,Detlef Gronau
Publisher : World Scientific
Page : 298 pages
File Size : 47,6 Mb
Release : 1996-07-03
Category : Electronic
ISBN : 9789814547895

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Iteration Theory - Proceedings Of The European Conference by W Forg-rob,Norbert Netzer,Christian Mira,Gyoergy Targonski,Detlef Gronau Pdf

Iteration theory has its roots in the operation of substituting functions into itself. This has led to questions like that of the behaviour of functions by repeating this substitution and when the number of iterations tends to infinity. The terms 'orbit' and 'chaos' appropriately describe this behaviour. Dynamical systems and the theory of functional equations play important roles in this field.

Author : Gregg Willard Saunders
Publisher : Unknown
Page : 486 pages
File Size : 45,8 Mb
Release : 1984
Category : Electronic
ISBN : UCAL:C2933287

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Iteration of Rational Functions of One Complex Variable and Basins of Attractive Fixed Points by Gregg Willard Saunders Pdf

Author : Stephen L. Bloom,Zoltan Esik
Publisher : Springer Science & Business Media
Page : 636 pages
File Size : 50,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642780349

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Iteration Theories by Stephen L. Bloom,Zoltan Esik Pdf

This monograph contains the results of our joint research over the last ten years on the logic of the fixed point operation. The intended au dience consists of graduate students and research scientists interested in mathematical treatments of semantics. We assume the reader has a good mathematical background, although we provide some prelimi nary facts in Chapter 1. Written both for graduate students and research scientists in theoret ical computer science and mathematics, the book provides a detailed investigation of the properties of the fixed point or iteration operation. Iteration plays a fundamental role in the theory of computation: for example, in the theory of automata, in formal language theory, in the study of formal power series, in the semantics of flowchart algorithms and programming languages, and in circular data type definitions. It is shown that in all structures that have been used as semantical models, the equational properties of the fixed point operation are cap tured by the axioms describing iteration theories. These structures include ordered algebras, partial functions, relations, finitary and in finitary regular languages, trees, synchronization trees, 2-categories, and others.

Author : Alston Scott Householder
Publisher : Unknown
Page : 552 pages
File Size : 44,9 Mb
Release : 1972
Category : Algebra
ISBN : STANFORD:36105033326336

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KWIC Index for Numerical Algebra by Alston Scott Householder Pdf

Author : Roman Liedl,Ludwig Reich,György Targonski
Publisher : Springer
Page : 238 pages
File Size : 45,5 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540397496

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Iteration Theory and its Functional Equations by Roman Liedl,Ludwig Reich,György Targonski Pdf

Author : Mizuho Hoshi,Shinnosuke Seki
Publisher : Springer
Page : 568 pages
File Size : 54,5 Mb
Release : 2018-09-03
Category : Computers
ISBN : 9783319986548

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Developments in Language Theory by Mizuho Hoshi,Shinnosuke Seki Pdf

This book constitutes the proceedings of the 22nd International Conference on Developments in Language Theory, DLT 2018, held in Tokyo, Japan, in September 2018. The 39 full papers presented in this volume were carefully reviewed and selected from 84 submissions. The papers cover the following topics and areas: combinatorial and algebraic properties of words and languages; grammars, acceptors and transducers for strings, trees, graphics, arrays; algebraic theories for automata and languages; codes; efficient text algorithms; symbolic dynamics; decision problems; relationships to complexity theory and logic; picture description and analysis, polyominoes and bidimensional patterns; cryptography; concurrency; celluar automata; bio-inspired computing; quantum computing.

Author : V Diekert,G Rozenberg
Publisher : World Scientific
Page : 568 pages
File Size : 51,7 Mb
Release : 1995-03-07
Category : Computers
ISBN : 9789814501262

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The Book of Traces by V Diekert,G Rozenberg Pdf

The theory of traces employs techniques and tackles problems from quite diverse areas which include formal language theory, combinatorics, graph theory, algebra, logic, and the theory of concurrent systems. In all these areas the theory of traces has led to interesting problems and significant results. It has made an especially big impact in formal language theory and the theory of concurrent systems. In both these disciplines it is a well-recognized and dynamic research area. Within formal language theory it yields the theory of partially commutative monoids, and provides an important connection between languages and graphs. Within the theory of concurrent systems it provides an important formal framework for the analysis and synthesis of concurrent systems. This monograph covers all important research lines of the theory of traces; each chapter is devoted to one research line and is written by leading experts. The book is organized in such a way that each chapter can be read independently — and hence it is very suitable for advanced courses or seminars on formal language theory, the theory of concurrent systems, the theory of semigroups, and combinatorics. An extensive bibliography is included. At present, there is no other book of this type on trace theory. Contents:Basic Notions:Introduction to Trace Theory (A Mazurkiewicz)Dependence Graphs (H J Hoogeboom & G Rozenberg)Algebra and Combinatorics:Combinatorics in Trace Monoids I (C Choffrut)Combinatorics in Trace Monoids II (G Duchamp & D Krob)Counting Techniques for Inclusion, Equivalence and Membership Problems (A Bertoni et al.)Languages and Automata:Recognizable Trace Languages (E Ochma(ski)Asynchronous Automata (W Zielonka)Construction of Asynchronous Automata (V Diekert & A Mischoll)Concurrency and Logic:Trace Structures and Other Models for Concurrency (M Nielsen & G Winskel)Traces and Logic (W Penczek & R Kuiper)Generalizations:Infinite Traces (P Gastin & A Petit)Semi-Commutations (M Clerbout et al.) Readership: Computer scientists and mathematicians. keywords:Traces;Concurrency;Partial Commutation;Automata;Formal Languages;Mathematical Foundations of Computer Science;Infinite Behaviour

Author : Bahman Kalantari
Publisher : World Scientific
Page : 492 pages
File Size : 44,6 Mb
Release : 2008-12-04
Category : Mathematics
ISBN : 9789814476850

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Polynomial Root-finding And Polynomiography by Bahman Kalantari Pdf

This book offers fascinating and modern perspectives into the theory and practice of the historical subject of polynomial root-finding, rejuvenating the field via polynomiography, a creative and novel computer visualization that renders spectacular images of a polynomial equation. Polynomiography will not only pave the way for new applications of polynomials in science and mathematics, but also in art and education. The book presents a thorough development of the basic family, arguably the most fundamental family of iteration functions, deriving many surprising and novel theoretical and practical applications such as: algorithms for approximation of roots of polynomials and analytic functions, polynomiography, bounds on zeros of polynomials, formulas for the approximation of Pi, and characterizations or visualizations associated with a homogeneous linear recurrence relation. These discoveries and a set of beautiful images that provide new visions, even of the well-known polynomials and recurrences, are the makeup of a very desirable book. This book is a must for mathematicians, scientists, advanced undergraduates and graduates, but is also for anyone with an appreciation for the connections between a fantastically creative art form and its ancient mathematical foundations.

Author : Lubos Brim,Jiri Zlatuska,Josef Gruska
Publisher : Springer Science & Business Media
Page : 876 pages
File Size : 53,5 Mb
Release : 1998-08-12
Category : Computers
ISBN : 3540648275

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Mathematical Foundations of Computer Science 1998 by Lubos Brim,Jiri Zlatuska,Josef Gruska Pdf

This book constitutes the refereed proceedings of the 23rd International Symposium on the Mathematical Foundations of Computer Science, MFCS'98, held in Brno, Czech Republic, in August 1998. The 71 revised full papers presented were carefully reviewed and selected from a total of 168 submissions. Also included are 11 full invited surveys by prominent leaders in the area. The papers are organized in topical sections on problem complexity; logic, semantics, and automata; rewriting; automata and transducers; typing; concurrency, semantics, and logic; circuit complexity; programming; structural complexity; formal languages; graphs; Turing complexity and logic; binary decision diagrams, etc..

Author : Anonim
Publisher : Cambridge University Press
Page : 782 pages
File Size : 49,7 Mb
Release : 2024-06-01
Category : Electronic
ISBN : 8210379456XXX

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Elements of Automata Theory by Anonim Pdf

Author : Michel Laurent Lapidus,Machiel Van Frankenhuysen
Publisher : American Mathematical Soc.
Page : 760 pages
File Size : 44,8 Mb
Release : 2004
Category : Mathematics
ISBN : 0821836374

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Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot by Michel Laurent Lapidus,Machiel Van Frankenhuysen Pdf

This volume offers an excellent selection of cutting-edge articles about fractal geometry, covering the great breadth of mathematics and related areas touched by this subject. Included are rich survey articles and fine expository papers. The high-quality contributions to the volume by well-known researchers--including two articles by Mandelbrot--provide a solid cross-section of recent research representing the richness and variety of contemporary advances in and around fractal geometry. In demonstrating the vitality and diversity of the field, this book will motivate further investigation into the many open problems and inspire future research directions. It is suitable for graduate students and researchers interested in fractal geometry and its applications. This is a two-part volume. Part 1 covers analysis, number theory, and dynamical systems; Part 2, multifractals, probability and statistical mechanics, and applications.

Author : Sergio Amat,Sonia Busquier
Publisher : Springer
Page : 286 pages
File Size : 42,7 Mb
Release : 2016-09-27
Category : Mathematics
ISBN : 9783319392288

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Advances in Iterative Methods for Nonlinear Equations by Sergio Amat,Sonia Busquier Pdf

This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form of nonlinear equations, using mathematical modeling. In particular, a wide range of problems in Applied Mathematics and in Engineering can be solved by finding the solutions to these equations. The book reveals the importance of studying convergence aspects in iterative methods and shows that selection of the most efficient and robust iterative method for a given problem is crucial to guaranteeing a good approximation. A number of sample criteria for selecting the optimal method are presented, including those regarding the order of convergence, the computational cost, and the stability, including the dynamics. This book will appeal to researchers whose field of interest is related to nonlinear problems and equations, and their approximation.

Author : Raf Vandebril,Marc Van Barel,Nicola Mastronardi
Publisher : JHU Press
Page : 516 pages
File Size : 44,9 Mb
Release : 2008-12-15
Category : Mathematics
ISBN : 9780801896804

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Matrix Computations and Semiseparable Matrices by Raf Vandebril,Marc Van Barel,Nicola Mastronardi Pdf

The general properties and mathematical structures of semiseparable matrices were presented in volume 1 of Matrix Computations and Semiseparable Matrices. In volume 2, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi discuss the theory of structured eigenvalue and singular value computations for semiseparable matrices. These matrices have hidden properties that allow the development of efficient methods and algorithms to accurately compute the matrix eigenvalues. This thorough analysis of semiseparable matrices explains their theoretical underpinnings and contains a wealth of information on implementing them in practice. Many of the routines featured are coded in Matlab and can be downloaded from the Web for further exploration.