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Functional Equations and How to Solve Them

Functional Equations and How to Solve Them

Functional Equations and How to Solve Them Paperback / softback - 2007

by Christopher G. Small

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Paperback / softback. New. 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, offering explanatory text and illustrative problems of varied difficulty.
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Details

  • Title Functional Equations and How to Solve Them
  • Author Christopher G. Small
  • Binding Paperback
  • Edition 1st edition
  • Condition New
  • Pages 131
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Publication date 2007-08-08
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index, Table of Contents
  • Bookseller's Inventory # A9780387345390
  • ISBN 9780387345390 / 0387345396
  • Weight 0.55 lbs (0.25 kg)
  • Dimensions 9.16 x 6.35 x 0.35 in (23.27 x 16.13 x 0.89 cm)
  • Category Mathematics
  • Dewey Decimal Code 515.75
  • Quantity available 10

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Reader reviews for Functional Equations and How to Solve Them

From the publisher

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.

From the rear cover

This book covers topics in the theory and practice of functional equations. Special emphasis is given to methods for solving functional equations that appear in mathematics contests, such as the Putnam competition and the International Mathematical Olympiad. This book will be of particular interest to university students studying for the Putnam competition, and to high school students working to improve their skills on mathematics competitions at the national and international level. Mathematics educators who train students for these competitions will find a wealth of material for training on functional equations problems.

The book also provides a number of brief biographical sketches of some of the mathematicians who pioneered the theory of functional equations. The work of Oresme, Cauchy, Babbage, and others, is explained within the context of the mathematical problems of interest at the time.

Christopher Small is a Professor in the Department of Statistics and Actuarial Science at the University of Waterloo. He has served as the co-coach on the Canadian team at the IMO (1997, 1998, 2000, 2001, and 2004), as well as the Waterloo Putnam team for the William Lowell Putnam Competition (1986-2004). His previous books include Numerical Methods for Nonlinear Estimating Equations (Oxford 2003), The Statistical Theory of Shape (Springer 1996), Hilbert Space Methods in Probability and Statistical Inference (Wiley 1994).

From the reviews:

Functional Equations and How to Solve Them fills a need and is a valuable contribution to the literature of problem solving.

- Henry Ricardo, MAA Reviews

The main purpose and merits of the book...are the many solved, unsolved, partially solved problems and hints about several particular functional equations.

- Janos Aczel, Zentralblatt

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