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Author : György I. Targonski
Publisher :
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.3/5 (91 download)
Download or read book Topics in Iteration Theory written by György I. Targonski and published by . This book was released on 1981 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W Forg-rob
Publisher : World Scientific
ISBN 13 : 9814547891
Total Pages : 298 pages
Book Rating : 4.8/5 (145 download)
Download or read book Iteration Theory - Proceedings Of The European Conference written by W Forg-rob and published by World Scientific. This book was released on 1996-07-03 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Roman Liedl
Publisher : Springer
ISBN 13 : 3540397493
Total Pages : 238 pages
Book Rating : 4.5/5 (43 download)
Download or read book Iteration Theory and its Functional Equations written by Roman Liedl and published by Springer. This book was released on 2006-11-14 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephen L. Bloom
Publisher : Springer Science & Business Media
ISBN 13 : 3642780342
Total Pages : 636 pages
Book Rating : 4.6/5 (427 download)
Download or read book Iteration Theories written by Stephen L. Bloom and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Marek Kuczma
Publisher : Cambridge University Press
ISBN 13 : 9780521355612
Total Pages : 580 pages
Book Rating : 4.3/5 (556 download)
Download or read book Iterative Functional Equations written by Marek Kuczma and published by Cambridge University Press. This book was released on 1990-07-27 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Francois Robert
Publisher : Springer Science & Business Media
ISBN 13 : 3642616070
Total Pages : 202 pages
Book Rating : 4.6/5 (426 download)
Download or read book Discrete Iterations written by Francois Robert and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: a c 9 h In presenting this monograph, I would like to indicate both its orientation as well as my personal reasons for being interested in discrete iterations (that is, iterations on a generally very large,jinite set). While working in numerical analysis I have been interested in two main aspects: - the algorithmic aspect: an iterative algorithm is a mathematical entity which behaves in a dynamic fashion. Even if it is started far from a solution, it will often tend to get closer and closer. - the mathematical aspect: this consists of a coherent and rigorous analy sis of convergence, with the aid of mathematical tools (these tools are mainly the use of norms for convergence proofs, the use of matrix algebra and so on). One may for example refer to the algorithmic and mathematical aspects of Newton's method in JRn as well as to the QR algorithm for eigenvalues of matrices. These two algorithms seem to me to be the most fascinating algorithms in numerical analysis, since both show a remarkable practical efficiency even though there exist relatively few global convergence results for them.
Author : J. Aczél
Publisher : Springer Science & Business Media
ISBN 13 : 9781402003295
Total Pages : 260 pages
Book Rating : 4.0/5 (32 download)
Download or read book Functional Equations: History, Applications and Theory written by J. Aczél and published by Springer Science & Business Media. This book was released on 2001-11-30 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Farhad Jafari
Publisher : American Mathematical Soc.
ISBN 13 : 0821807684
Total Pages : 252 pages
Book Rating : 4.8/5 (218 download)
Download or read book Studies on Composition Operators written by Farhad Jafari and published by American Mathematical Soc.. This book was released on 1998 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reflects the proceedings of the 1996 Rocky Mountain Mathematics Consortium conference on ``Composition Operators on Spaces of Analytic Functions'' held at the University of Wyoming. The readers will find here a collection of high-quality research and expository articles on composition operators in one and several variables. The book highlights open questions and new advances in the classical areas and promotes topics which are left largely untreated in the existing texts. In the past two decades, the study of composition operators has experienced tremendous growth. Many connections between the study of these operators on various function spaces and other branches of analysis have been established. Advances in establishing criteria for membership in different operator classes have led to progress in the study of the spectra, adjoints, and iterates of these operators. More recently, connections between these operators and the study of the invariant subspace problem, functional equations, and dynamical systems have been exploited.
Author : Ioannis K. Argyros
Publisher : CRC Press
ISBN 13 : 1000536777
Total Pages : 356 pages
Book Rating : 4.0/5 (5 download)
Download or read book The Theory and Applications of Iteration Methods written by Ioannis K. Argyros and published by CRC Press. This book was released on 2022-01-21 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory and applications of Iteration Methods is a very fast-developing field of numerical analysis and computer methods. The second edition is completely updated and continues to present the state-of-the-art contemporary theory of iteration methods with practical applications, exercises, case studies, and examples of where and how they can be used. The Theory and Applications of Iteration Methods, Second Edition includes newly developed iteration methods taking advantage of the most recent technology (computers, robots, machines). It extends the applicability of well-established methods by increasing the convergence domain and offers sharper error tolerance. New proofs and ideas for handling convergence are introduced along with a new variety of story problems picked from diverse disciplines. This new edition is for researchers, practitioners, and students in engineering, economics, and computational sciences.
Author : Janos Aczel
Publisher : Birkhäuser
ISBN 13 : 3034890966
Total Pages : 218 pages
Book Rating : 4.0/5 (348 download)
Download or read book Aggregating clones, colors, equations, iterates, numbers, and tiles written by Janos Aczel and published by Birkhäuser. This book was released on 2012-12-06 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The journal aequationes mathematicae publishes papers in pure and applied mathematics and, in particular, articles on functional equations, combinatorics and dynamical systems. Its 50th volume appears in 1995. To mark this occasion, we are publishing in book form a repre sentative collection of outstanding survey papers assembled for our anniversary issue of aequationes mathematicae. The articles by Quackenbush, Targonski and Moszner discuss composition of functions from different points of view: universal algebra, dynamical systems (iteration) and functional equa tions. The Ono-Robbins-Wahl and the Vince papers, on number theory and tiles, respectively, are thematically linked by lattices. Combinatorics, in turn, links the Vince paper with that of Tutte, whose subject is chromatic sums, its tools differential and functional equations. The Paganoni-Ratz and the Forti papers deal with conditional functional equations and with the related topic of stability. Applications to the social and behavioral sciences, in particular to aggregation (and some theory) are presented in the paper by J. Aczel. The aim of the collection is to survey selected fields of current interest. We trust that it will be useful and informative for researchers, teachers, graduate and advanced undergraduate stu dents of mathematics, and for those interested in applications in related fields. lanDs Aczel Aequationes Mathematicae 50 (1995) 1 0001-9054/95/020001-01 $1.50 + 0.20/0 University of Waterloo © 1995 Birkhiiuser Verlag, Basel Editorial Volume 50 of Aequationes Mathematicae This is the fiftieth volume of aequationes mathematicae. Not only our modesty but also lack of space keeps us from self-congratulation.
Author : Roman Liedl
Publisher :
ISBN 13 : 9783662175057
Total Pages : 244 pages
Book Rating : 4.1/5 (75 download)
Download or read book Iteration Theory and Its Functional Equations written by Roman Liedl and published by . This book was released on 2014-01-15 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Luca De Alfaro
Publisher : Springer Science & Business Media
ISBN 13 : 3642005950
Total Pages : 484 pages
Book Rating : 4.6/5 (42 download)
Download or read book Foundations of Software Science and Computational Structures written by Luca De Alfaro and published by Springer Science & Business Media. This book was released on 2009-03-09 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2009, held in York, UK, in March 2009, as part of ETAPS 2009, the European Joint Conferences on Theory and Practice of Software. The 30 revised full papers presented together with two invited talks were carefully reviewed and selected from 102 full paper submissions. The topics addressed are semantics, logics and automata, algebras, automata theory, processes and models, security, probabilistic and quantitative models, synthesis, and program analysis and semantics.
Author : Ioannis K. Argyros
Publisher : CRC Press
ISBN 13 : 1000536750
Total Pages : 470 pages
Book Rating : 4.0/5 (5 download)
Download or read book The Theory and Applications of Iteration Methods written by Ioannis K. Argyros and published by CRC Press. This book was released on 2022-01-21 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory and applications of Iteration Methods is a very fast-developing field of numerical analysis and computer methods. The second edition is completely updated and continues to present the state-of-the-art contemporary theory of iteration methods with practical applications, exercises, case studies, and examples of where and how they can be used. The Theory and Applications of Iteration Methods, Second Edition includes newly developed iteration methods taking advantage of the most recent technology (computers, robots, machines). It extends the applicability of well-established methods by increasing the convergence domain and offers sharper error tolerance. New proofs and ideas for handling convergence are introduced along with a new variety of story problems picked from diverse disciplines. This new edition is for researchers, practitioners, and students in engineering, economics, and computational sciences.
Author :
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.E/5 ( download)
Download or read book Iteration Theory (ECIT '04) written by and published by . This book was released on 2006 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mark Elin
Publisher : Springer Science & Business Media
ISBN 13 : 3034605099
Total Pages : 268 pages
Book Rating : 4.0/5 (346 download)
Download or read book Linearization Models for Complex Dynamical Systems written by Mark Elin and published by Springer Science & Business Media. This book was released on 2011-02-09 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linearization models for discrete and continuous time dynamical systems are the driving forces for modern geometric function theory and composition operator theory on function spaces. This book focuses on a systematic survey and detailed treatment of linearization models for one-parameter semigroups, Schröder’s and Abel’s functional equations, and various classes of univalent functions which serve as intertwining mappings for nonlinear and linear semigroups. These topics are applicable to the study of problems in complex analysis, stochastic and evolution processes and approximation theory.
Author : Joseph G. Rosenstein
Publisher : American Mathematical Soc.
ISBN 13 : 9780821885789
Total Pages : 492 pages
Book Rating : 4.8/5 (857 download)
Download or read book Discrete Mathematics in the Schools written by Joseph G. Rosenstein and published by American Mathematical Soc.. This book was released on with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides teachers of all levels with a great deal of valuable material to help them introduce discrete mathematics into their classrooms.
Author : Dimitris Psillos
Publisher : Springer
ISBN 13 : 9400778082
Total Pages : 382 pages
Book Rating : 4.4/5 (7 download)
Download or read book Iterative Design of Teaching-Learning Sequences written by Dimitris Psillos and published by Springer. This book was released on 2015-11-24 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses a very important aspect of science education and science education research respectively: The research-based development of Teaching Learning Sequences. The authors elaborate on important theoretical issues as well as aspects of the design and iterative evolution of a several Teaching Learning Sequences in a modern scientific and technological field which is socially relevant and educationally significant. The book is divided into two parts. The first part includes a collection of papers discussing the theoretical foundations and characteristics of selected theoretical frameworks related to designing Teaching Learning Sequences, elaborate on common issues and draw on the wider perspective of design research in education. The second part contains a collection of papers presenting case studies concerning the design, implementation, iterative evolution and evaluation of Teaching and Learning Sequences in a variety of educational context. The case studies deal with a more or less new subject matter, a part of modern interdisciplinary science, material science, which enhances the connections between science and technology. From a wider perspective the case studies draw on existing theoretical ideas on inquiry in various contexts and provide powerful suggestions for contextualized innovation in a variety of school systems and existing practices.
