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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.

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.

Introduction to Functional Equations

2011-10-13 Mathematics
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Release : 2011-10-13
Genre : Mathematics
Kind : eBook
Book Rating : 147/5 ( reviews)

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Book Synopsis Introduction to Functional Equations by : Costas Efthimiou

Download or read book Introduction to Functional Equations written by Costas Efthimiou. This book was released on 2011-10-13. Available in PDF, EPUB and Kindle. Book excerpt: 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

2020-01-15
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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:

On Functions and Functional Equations

2020-08-26 Mathematics
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Release : 2020-08-26
Genre : Mathematics
Kind : eBook
Book Rating : 187/5 ( reviews)

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Book Synopsis On Functions and Functional Equations by : J. Smital

Download or read book On Functions and Functional Equations written by J. Smital. This book was released on 2020-08-26. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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