Functional Equations and How to Solve Them (Problem Books in Mathematics)

Book Details

• Publisher: Springer

• Author: Christopher G. Small

• Language: English

• Edition: 2007 ed.

• ISBN: 9780387345390

• Pages: 131

• Cover: Paperback

• Dimensions: 9.1 x 6.1 x 0.4 inches

About The Book

Functional Equations in Mathematical Problem Solving by Christopher G. Small is a practical guide aimed at students and enthusiasts who want to master solving functional equations in the context of mathematics competitions and problem solving. While many books explore the theory of functional equations, this work fills a critical gap by focusing on the tools and techniques necessary for solving functional equations in real mathematical contests.

Small introduces strategies to find all solutions or demonstrate that solutions must have certain properties, providing readers with clear, actionable methods for tackling these types of problems. The book is structured with progressively more challenging problems at the end of each chapter. These problems are tailored for students at various levels, from high school students preparing for mathematics competitions like the International Mathematical Olympiad to university undergraduates aiming for advanced contests such as the William Lowell Putnam Competition.

The book concludes with an appendix covering essential topics like limits, infinite series, and continuity, offering a foundation for further study in mathematical analysis. Whether you're a budding mathematician or an experienced problem solver, this book provides both the theory and practice to help you excel in solving functional equations and tackle challenging problems in mathematics competitions.