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Lectures on Functional Equations and Their Applications

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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.

Topics in Functional Equations

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Release : 2020-01-15
Genre :
Kind : eBook
Book Rating : 862/5 ( reviews)

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Book Synopsis Topics in Functional Equations by : Titu Andreescu

Download or read book Topics in Functional Equations written by Titu Andreescu. This book was released on 2020-01-15. Available in PDF, EPUB and Kindle. Book excerpt:

Functional Equations and How to Solve Them

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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.

Functional Equations and Inequalities with Applications

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Release : 2009-06-10
Genre : Mathematics
Kind : eBook
Book Rating : 926/5 ( reviews)

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Book Synopsis Functional Equations and Inequalities with Applications by : Palaniappan Kannappan

Download or read book Functional Equations and Inequalities with Applications written by Palaniappan Kannappan. This book was released on 2009-06-10. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stability of Functional Equations in Several Variables

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Release : 1998-09-01
Genre : Mathematics
Kind : eBook
Book Rating : 248/5 ( reviews)

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Book Synopsis Stability of Functional Equations in Several Variables by : D.H. Hyers

Download or read book Stability of Functional Equations in Several Variables written by D.H. Hyers. This book was released on 1998-09-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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