Download iterative functional equations encyclopedia of mathematics and its applications in pdf or read iterative functional equations encyclopedia of mathematics and its applications in pdf online books in PDF, EPUB and Mobi Format. Click Download or Read Online button to get iterative functional equations encyclopedia of mathematics and its applications in pdf book now. This site is like a library, Use search box in the widget to get ebook that you want.



Iterative Functional Equations

Author: Marek Kuczma
Publisher: Cambridge University Press
ISBN: 9780521355612
Size: 69.47 MB
Format: PDF, Mobi
View: 6759
Download and Read
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.

Functional Equations And Inequalities With Applications

Author: Palaniappan Kannappan
Publisher: Springer Science & Business Media
ISBN: 0387894926
Size: 28.95 MB
Format: PDF, ePub, Docs
View: 3889
Download and Read
Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations. This self-contained monograph explores all aspects of functional equations and their applications to related topics, such as differential equations, integral equations, the Laplace transformation, the calculus of finite differences, and many other basic tools in analysis. Each chapter examines a particular family of equations and gives an in-depth study of its applications as well as examples and exercises to support the material.

Handbook Of Functional Equations

Author: Themistocles M. Rassias
Publisher: Springer
ISBN: 1493912860
Size: 79.76 MB
Format: PDF, Docs
View: 1286
Download and Read
This handbook consists of seventeen chapters written by eminent scientists from the international mathematical community, who present important research works in the field of mathematical analysis and related subjects, particularly in the Ulam stability theory of functional equations. The book provides an insight into a large domain of research with emphasis to the discussion of several theories, methods and problems in approximation theory, analytic inequalities, functional analysis, computational algebra and applications. The notion of stability of functional equations has its origins with S. M. Ulam, who posed the fundamental problem for approximate homomorphisms in 1940 and with D. H. Hyers, Th. M. Rassias, who provided the first significant solutions for additive and linear mappings in 1941 and 1978, respectively. During the last decade the notion of stability of functional equations has evolved into a very active domain of mathematical research with several applications of interdisciplinary nature. The chapters of this handbook focus mainly on both old and recent developments on the equation of homomorphism for square symmetric groupoids, the linear and polynomial functional equations in a single variable, the Drygas functional equation on amenable semigroups, monomial functional equation, the Cauchy–Jensen type mappings, differential equations and differential operators, operational equations and inclusions, generalized module left higher derivations, selections of set-valued mappings, D’Alembert’s functional equation, characterizations of information measures, functional equations in restricted domains, as well as generalized functional stability and fixed point theory.

Regularity Properties Of Functional Equations In Several Variables

Author: Antal Járai
Publisher: Springer Science & Business Media
ISBN: 9780387244136
Size: 26.89 MB
Format: PDF, Docs
View: 7623
Download and Read
This book illustrates the basic ideas of regularity properties of functional equations by simple examples. It then treats most of the modern results about regularity of non-composite functional equations of several variables in a unified fashion. A long introduction highlights the basic ideas for beginners and several applications are also included.

Permanents

Author: Henryk Minc
Publisher: Cambridge University Press
ISBN: 9780521302265
Size: 33.33 MB
Format: PDF, Kindle
View: 2372
Download and Read
The purpose of this book, which was first published in 1978, is to give a complete account of the theory of permanents, their history and applications. This volume was the first complete account of the theory of permanents, covering virtually the whole of the subject, a feature that no simple survey of the theory of matrices can even attempt. The work also contains many results stated without formal proofs. This book can be used as a textbook at the advanced undergraduate or graduate level. The only prerequisites are a standard undergraduate course in the theory of matrices and a measure of mathematical maturity.

Theory Of Matroids

Author: Neil White
Publisher: Cambridge University Press
ISBN: 0521309379
Size: 55.11 MB
Format: PDF, ePub, Mobi
View: 5176
Download and Read
The theory of matroids is unique in the extent to which it connects such disparate branches of combinatorial theory and algebra as graph theory, lattice theory, design theory, combinatorial optimization, linear algebra, group theory, ring theory and field theory. Furthermore, matroid theory is alone among mathematical theories because of the number and variety of its equivalent axiom systems. Indeed, matroids are amazingly versatile and the approaches to the subject are varied and numerous. This book is a primer in the basic axioms and constructions of matroids. The contributions by various leaders in the field include chapters on axiom systems, lattices, basis exchange properties, orthogonality, graphs and networks, constructions, maps, semi-modular functions and an appendix on cryptomorphisms. The authors have concentrated on giving a lucid exposition of the individual topics; explanations of theorems are preferred to complete proofs and original work is thoroughly referenced. In addition, exercises are included for each topic.