On Functions And Functional Equations PDF Download
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Author | : J. Smital |
Publisher | : CRC Press |
Total Pages | : 164 |
Release | : 2020-08-26 |
Genre | : Mathematics |
ISBN | : 1000112187 |
Download On Functions and Functional Equations Book in PDF, ePub and Kindle
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 | : J. Aczel |
Publisher | : Courier Corporation |
Total Pages | : 548 |
Release | : 2006-02-01 |
Genre | : Mathematics |
ISBN | : 0486445232 |
Download Lectures on Functional Equations and Their Applications Book in PDF, ePub and Kindle
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.
Author | : Costas Efthimiou |
Publisher | : American Mathematical Soc. |
Total Pages | : 381 |
Release | : 2011-10-13 |
Genre | : Mathematics |
ISBN | : 0821853147 |
Download Introduction to Functional Equations Book in PDF, ePub and Kindle
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 | : Christopher G. Small |
Publisher | : Springer Science & Business Media |
Total Pages | : 139 |
Release | : 2007-04-03 |
Genre | : Mathematics |
ISBN | : 0387489010 |
Download Functional Equations and How to Solve Them Book in PDF, ePub and Kindle
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.
Author | : J. Aczél |
Publisher | : Springer Science & Business Media |
Total Pages | : 175 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9400937490 |
Download A Short Course on Functional Equations Book in PDF, ePub and Kindle
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.
Author | : Palaniappan Kannappan |
Publisher | : Springer Science & Business Media |
Total Pages | : 817 |
Release | : 2009-06-10 |
Genre | : Mathematics |
ISBN | : 0387894926 |
Download Functional Equations and Inequalities with Applications Book in PDF, ePub and Kindle
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.
Author | : Stefan Czerwik |
Publisher | : World Scientific |
Total Pages | : 424 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 9789810248376 |
Download Functional Equations and Inequalities in Several Variables Book in PDF, ePub and Kindle
This book outlines the modern theory of functional equations and inequalities in several variables. It consists of three parts. The first is devoted to additive and convex functions defined on linear spaces with semilinear topologies. In the second part, the problems of stability of functional equations in the sense of Ulam-Hyers-Rassias and in some function spaces are considered. In the last part, the functional equations in set-valued functions are dealt with ? for the first time in the mathematical literature. The book contains many fresh results concerning those problems.
Author | : Henrik Stetkr |
Publisher | : World Scientific |
Total Pages | : 395 |
Release | : 2013 |
Genre | : Mathematics |
ISBN | : 981451313X |
Download Functional Equations on Groups Book in PDF, ePub and Kindle
This volume provides an accessible and coherent introduction to some of the scientific progress on functional equations on groups in the last two decades. It presents the latest methods of treating the topic and contains new and transparent proofs. Its scope extends from the classical functional equations on the real line to those on groups, in particular, non-abelian groups. This volume presents, in careful detail, a number of illustrative examples like the cosine equation on the Heisenberg group and on the group SL(2, R). Some of the examples are not even seen in existing monographs. Thus, it is an essential source of reference for further investigations.
Author | : D.H. Hyers |
Publisher | : Springer Science & Business Media |
Total Pages | : 330 |
Release | : 1998-09-01 |
Genre | : Mathematics |
ISBN | : 9780817640248 |
Download Stability of Functional Equations in Several Variables Book in PDF, ePub and Kindle
The notion of stability of functional equations of several variables in the sense used here had its origins more than half a century ago when S. Ulam posed the fundamental problem and Donald H. Hyers gave the first significant partial solution in 1941. The subject has been revised and de veloped by an increasing number of mathematicians, particularly during the last two decades. Three survey articles have been written on the subject by D. H. Hyers (1983), D. H. Hyers and Th. M. Rassias (1992), and most recently by G. L. Forti (1995). None of these works included proofs of the results which were discussed. Furthermore, it should be mentioned that wider interest in this subject area has increased substantially over the last years, yet the pre sentation of research has been confined mainly to journal articles. The time seems ripe for a comprehensive introduction to this subject, which is the purpose of the present work. This book is the first to cover the classical results along with current research in the subject. An attempt has been made to present the material in an integrated and self-contained fashion. In addition to the main topic of the stability of certain functional equa tions, some other related problems are discussed, including the stability of the convex functional inequality and the stability of minimum points. A sad note. During the final stages of the manuscript our beloved co author and friend Professor Donald H. Hyers passed away.
Author | : J. Aczél |
Publisher | : Cambridge University Press |
Total Pages | : 490 |
Release | : 1989 |
Genre | : Mathematics |
ISBN | : 9780521352765 |
Download Functional Equations in Several Variables Book in PDF, ePub and Kindle
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.