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Author : Roman Liedl,Ludwig Reich,Gyorgy Targonski
Publisher : Unknown
Page : 244 pages
File Size : 52,9 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662175053
Author : Roman Liedl,Ludwig Reich,György Targonski
Publisher : Springer
Page : 238 pages
File Size : 49,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540397496
Author : Simo C,Mira Christian,Targonski Gyoergy
Publisher : #N/A
Page : 400 pages
File Size : 48,7 Mb
Release : 1991-07-22
Category : Electronic
ISBN : 9789814556408
The main topics of this proceedings stress the interactions between the theory of functional equations and the theory of dynamical systems. A total of 38 invited lectures are included.
Author : Roman Liedl,Ludwig Reich,György I. Targonski
Publisher : Springer
Page : 256 pages
File Size : 50,6 Mb
Release : 1985
Category : Mathematics
ISBN : UVA:X001450365
Author : J P Lampreia,Jaume Llibre,Christian Mira,Gyoergy Targonski,Jose Sousa Ramos
Publisher : World Scientific
Page : 374 pages
File Size : 41,6 Mb
Release : 1992-12-18
Category : Electronic
ISBN : 9789814554343
The main theme of the ECIT conferences is Iteration Theory, on the borderline between Dynamics and Functional Equations. The aim is to foster symbiosis between mainstream dynamics and iteration theory treated in the style of functional equations theory. The following topics are focused: turbulence and iteration, characterization of chaos, kneading theory, symbolic dynamics, bifurcation, periods of maps, topological dynamics, discrete retarded dynamical systems, cellular automata as dynamical systems, iterative roots of formal power series, iterative roots of polynomials, phantom iterative roots, iterative groups and semigroups, families of commuting functions, algebraic aspects of iteration theory and functional equations.
Author : J. Smital
Publisher : CRC Press
Page : 164 pages
File Size : 53,7 Mb
Release : 2020-08-26
Category : Mathematics
ISBN : 9781000112184
On Functions and Functional Equations introduces the main topics in iteration theory and the theory of functional equations with emphasis on applications in the fields of mathematics, physics, biology, chemistry, and electronics and mechanical engineering. The book contains many classical results as well as important, more recent results. It also includes numerous exercise and some problems that have yet to be resolved. The book is accessible to readers having a secondary level mathematical education.
Author : Marek Kuczma,Bogdan Choczewski,Roman Ger
Publisher : Cambridge University Press
Page : 580 pages
File Size : 40,7 Mb
Release : 1990-07-27
Category : Mathematics
ISBN : 0521355613
A cohesive and comprehensive account of the modern theory of iterative functional equations. Many of the results included have appeared before only in research literature, making this an essential volume for all those working in functional equations and in such areas as dynamical systems and chaos, to which the theory is closely related. The authors introduce the reader to the theory and then explore the most recent developments and general results. Fundamental notions such as the existence and uniqueness of solutions to the equations are stressed throughout, as are applications of the theory to such areas as branching processes, differential equations, ergodic theory, functional analysis and geometry. Other topics covered include systems of linear and nonlinear equations of finite and infinite ORD various function classes, conjugate and commutable functions, linearization, iterative roots of functions, and special functional equations.
Author : György I. Targonski
Publisher : Unknown
Page : 304 pages
File Size : 40,9 Mb
Release : 1981
Category : Iterative methods (Mathematics).
ISBN : UOM:39015017313597
Author : Costas Efthimiou
Publisher : American Mathematical Soc.
Page : 381 pages
File Size : 49,6 Mb
Release : 2011-10-13
Category : Mathematics
ISBN : 9780821853146
Functions and their properties have been part of the rigorous precollege curriculum for decades. And functional equations have been a favorite topic of the leading national and international mathematical competitions. Yet the subject has not received equal attention by authors at an introductory level. The majority of the books on the topic remain unreachable to the curious and intelligent precollege student. The present book is an attempt to eliminate this disparity. The book opens with a review chapter on functions, which collects the relevant foundational information on functions, plus some material potentially new to the reader. The next chapter presents a working definition of functional equations and explains the difficulties in trying to systematize the theory. With each new chapter, the author presents methods for the solution of a particular group of equations. Each chapter is complemented with many solved examples, the majority of which are taken from mathematical competitions and professional journals. The book ends with a chapter of unsolved problems and some other auxiliary material. The book is an invaluable resource for precollege and college students who want to deepen their knowledge of functions and their properties, for teachers and instructors who wish to enrich their curricula, and for any lover of mathematical problem-solving techniques. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 52,6 Mb
Release : 2024-06-16
Category : Electronic
ISBN : 9789814471725
Author : J. Aczél,J. Dhombres
Publisher : Cambridge University Press
Page : 490 pages
File Size : 48,7 Mb
Release : 1989
Category : Mathematics
ISBN : 0521352762
This treatise deals with modern theory of functional equations in several variables and their applications to mathematics, information theory, and the natural, behavioural and social sciences. The authors have chosen to emphasize applications, though not at the expense of theory, so they have kept the prerequisites to a minimum.
Author : W Forg-rob,Norbert Netzer,Christian Mira,Gyoergy Targonski,Detlef Gronau
Publisher : World Scientific
Page : 298 pages
File Size : 41,9 Mb
Release : 1996-07-03
Category : Electronic
ISBN : 9789814547895
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 : J. Aczél
Publisher : Springer Science & Business Media
Page : 243 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400963207
Approach your problems from It isn't that they can't see the right end and begin with the solution. It is that they the answers. Then one day, can't see the problem. perhaps you will find the G.K. Chesterton. The Scandal of final question. Father Brown 'The Point of a Pin' . 'The Hermit Clad ~n Crane Feathers' in R. van Gulik's The Chinese Haze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathe matics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) ~n re gional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical pro gramming profit from homotopy theory; Lie algebras are rele vant to filtering; and prediction and electrical en~ineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existinf, classifi~ation schemes. They draw upon widely different sections of mathematics.
Author : Stephen L. Bloom,Zoltan Esik
Publisher : Springer Science & Business Media
Page : 636 pages
File Size : 42,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642780349
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 : Themistocles RASSIAS
Publisher : Springer Science & Business Media
Page : 221 pages
File Size : 48,7 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401702256
Functional Equations, Inequalities and Applications provides an extensive study of several important equations and inequalities, useful in a number of problems in mathematical analysis. Subjects dealt with include the generalized Cauchy functional equation, the Ulam stability theory in the geometry of partial differential equations, stability of a quadratic functional equation in Banach modules, functional equations and mean value theorems, isometric mappings, functional inequalities of iterative type, related to a Cauchy functional equation, the median principle for inequalities and applications, Hadamard and Dragomir-Agarwal inequalities, the Euler formulae and convex functions and approximate algebra homomorphisms. Also included are applications to some problems of pure and applied mathematics. This book will be of particular interest to mathematicians and graduate students whose work involves functional equations, inequalities and applications.
