An historical introduction
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In high school algebra, we learn about algebraic equations involving one or more unknown real numbers. Functional equations are much like algebraic equations, except that the unknown quantities are functions rather than real numbers. This book is about functional equations: their role in contemporary mathematics as well as the body of techniques that is available for their solution. Functional equations appear quite regularly on mathematics competitions. So this book is intended as a toolkit of methods for students who wish to tackle competition problems involving functional equations at the high school or university level.
KeywordsFunctional Equation Fourteenth Century Fibonacci Sequence Historical Introduction Iterative Root
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