Functional Equations And How To Solve Them
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Functional Equations And How To Solve Them
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Author : Christopher G. Small
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-03
Functional Equations And How To Solve Them written by Christopher G. Small and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-03 with Mathematics categories.
Over the years, a number of books have been written on the theory of functional equations. However, very little has been published which helps readers to solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. The student who encounters a functional equation on a mathematics contest will need to investigate solutions to the equation by finding all solutions, or by showing that all solutions have a particular property. The emphasis here will be on the development of those tools which are most useful in assigning a family of solutions to each functional equation in explicit form. At the end of each chapter, readers will find a list of problems associated with the material in that chapter. The problems vary greatly, with the easiest problems being accessible to any high school student who has read the chapter carefully. The most difficult problems will be a reasonable challenge to advanced students studying for the International Mathematical Olympiad at the high school level or the William Lowell Putnam Competition for university undergraduates. The book ends with an appendix containing topics that provide a springboard for further investigation of the concepts of limits, infinite series and continuity.
Lectures On Functional Equations And Their Applications
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Author : J. Aczel
language : en
Publisher: Courier Corporation
Release Date : 2006-02-01
Lectures On Functional Equations And Their Applications written by J. Aczel and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-01 with Mathematics categories.
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.
Introduction To Functional Equations
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Author : Costas Efthimiou
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-10-13
Introduction To Functional Equations written by Costas Efthimiou and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-13 with Mathematics categories.
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.
Topics In Functional Equations
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Author : Titu Andreescu
language : en
Publisher:
Release Date : 2020-01-15
Topics In Functional Equations written by Titu Andreescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-15 with categories.
Functional Equations On Hypergroups
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Author : L szl¢ Szkelyhidi
language : en
Publisher: World Scientific
Release Date : 2013
Functional Equations On Hypergroups written by L szl¢ Szkelyhidi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
The theory of hypergroups is a rapidly developing area of mathematics due to its diverse applications in different areas like probability, harmonic analysis, etc. This book exhibits the use of functional equations and spectral synthesis in the theory of hypergroups. It also presents the fruitful consequences of this delicate OC marriageOCO where the methods of spectral analysis and synthesis can provide an efficient tool in characterization problems of function classes on hypergroups.This book is written for the interested reader who has open eyes for both functional equations and hypergroups, and who dares to enter a new world of ideas, a new world of methods OCo and, sometimes, a new world of unexpected difficulties.
Functional Equations A Problem Solving Approach
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Author : B. J. Venkatachala
language : en
Publisher:
Release Date : 2002
Functional Equations A Problem Solving Approach written by B. J. Venkatachala and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Functional Equations In Mathematical Olympiads 2017 2018
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Author : Amir Hossein Parvardi
language : en
Publisher:
Release Date : 2018-05-29
Functional Equations In Mathematical Olympiads 2017 2018 written by Amir Hossein Parvardi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-29 with categories.
Functional equations, which are a branch of algebraic problems used in mathematical competitions, appear in recent olympiads very frequently. The current book is the first volume in a series of books on collections of solved problems in functional equations. This volume contains 175 problems on the subject, including those used in latest mathematical olympiads (2017 - 2018) around the world. The basic concepts of functional equations and techniques of problem solving have been briefly discussed in the preamble of the book.
On Applications And Theory Of Functional Equations
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Author : J. Aczél
language : en
Publisher:
Release Date : 1969
On Applications And Theory Of Functional Equations written by J. Aczél and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.
The Cauchy Schwarz Master Class
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Author : J. Michael Steele
language : en
Publisher: Cambridge University Press
Release Date : 2004-04-26
The Cauchy Schwarz Master Class written by J. Michael Steele and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-26 with Mathematics categories.
This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics.