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One-dimensional Functional Equations

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 790/5 ( reviews)

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Book Synopsis One-dimensional Functional Equations by : Genrich Belitskii

Download or read book One-dimensional Functional Equations written by Genrich Belitskii. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The monograph is devoted to the study of functional equations with the transformed argument on the real line and on the unit circle. Such equations systematically arise in dynamical systems, differential equations, probabilities, singularities of smooth mappings, and other areas. The purpose of the book is to present modern methods and new results in the subject, with an emphasis on a connection between local and global solvability. The general concepts developed in the book are applicable to multidimensional functional equations. Some of the methods are presented for the first time in the monograph literature. The book is addressed to graduates and researchers interested in dynamical systems, differential equations, operator theory, or the theory of functions and their applications.

Lectures on Functional Equations and Their Applications

2006-02-01 Mathematics
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Release : 2006-02-01
Genre : Mathematics
Kind : eBook
Book Rating : 232/5 ( reviews)

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Book Synopsis Lectures on Functional Equations and Their Applications by : J. Aczel

Download or read book Lectures on Functional Equations and Their Applications written by J. Aczel. This book was released on 2006-02-01. Available in PDF, EPUB and Kindle. Book excerpt: Numerous detailed proofs highlight this treatment of functional equations. Starting with equations that can be solved by simple substitutions, the book then moves to equations with several unknown functions and methods of reduction to differential and integral equations. Also includes composite equations, equations with several unknown functions of several variables, vector and matrix equations, more. 1966 edition.

Functional Equations and How to Solve Them

2007-04-03 Mathematics
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Release : 2007-04-03
Genre : Mathematics
Kind : eBook
Book Rating : 010/5 ( reviews)

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Book Synopsis Functional Equations and How to Solve Them by : Christopher G. Small

Download or read book Functional Equations and How to Solve Them written by Christopher G. Small. This book was released on 2007-04-03. Available in PDF, EPUB and Kindle. Book excerpt: Many books have been written on the theory of functional equations, but very few help readers solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. Each chapter includes a list of problems associated with the covered material. These vary in difficulty, with the easiest being accessible to any high school student who has read the chapter carefully. The most difficult will challenge students studying for the International Mathematical Olympiad or the Putnam Competition. An appendix provides a springboard for further investigation of the concepts of limits, infinite series and continuity.

One-dimensional Functional Equations

2003-01-01 Functional equations
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Release : 2003-01-01
Genre : Functional equations
Kind : eBook
Book Rating : 846/5 ( reviews)

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Book Synopsis One-dimensional Functional Equations by : Genrikh Ruvimovich Belit͡skiĭ

Download or read book One-dimensional Functional Equations written by Genrikh Ruvimovich Belit͡skiĭ. This book was released on 2003-01-01. Available in PDF, EPUB and Kindle. Book excerpt: The monograph is devoted to the study of functional equations with the transformed argument on the real line and on the unit circle. Such equations systematically arise in dynamical systems, differential equations, probabilities, singularities of smooth mappings and other areas. The purpose of the book is to present the modern methods and new results in the subject with an emphasis on a connection between local and global solvability. Some of methods are presented for the first time in the monograph literature. The general concepts developed in the monograph are applicable to multidimensional functional equations.

A Short Course on Functional Equations

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 490/5 ( reviews)

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Book Synopsis A Short Course on Functional Equations by : J. Aczél

Download or read book A Short Course on Functional Equations written by J. Aczél. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Recently I taught short courses on functional equations at several universities (Barcelona, Bern, Graz, Hamburg, Milan, Waterloo). My aim was to introduce the most important equations and methods of solution through actual (not artifi cial) applications which were recent and with which I had something to do. Most of them happened to be related to the social or behavioral sciences. All were originally answers to questions posed by specialists in the respective applied fields. Here I give a somewhat extended version of these lectures, with more recent results and applications included. As previous knowledge just the basic facts of calculus and algebra are supposed. Parts where somewhat more (measure theory) is needed and sketches of lengthier calcula tions are set in fine print. I am grateful to Drs. J. Baker (Waterloo, Ont.), W. Forg-Rob (Innsbruck, Austria) and C. Wagner (Knoxville, Tenn.) for critical remarks and to Mrs. Brenda Law for care ful computer-typing of the manuscript (in several versions). A note on numbering of statements and references: The numbering of Lemmata, Propositions, Theorems, Corollaries and (separately) formulae starts anew in each section. If quoted in another section, the section number is added, e.g. (2.10) or Theorem 1.2. References are quoted by the last names of the authors and the last two digits of the year, e.g. Daroczy-Losonczi [671. 1 1. An aggregation theorem for allocation problems. Cauchy equation for single-and multiplace functions. Two extension theorems.

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