Functional Equations and How to Solve Them

Paperback | August 8, 2007

byChristopher G. Small

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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.

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From the Publisher

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 ...

From the Jacket

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 t...

Format:PaperbackDimensions:142 pages, 9.25 × 6.1 × 0.27 inPublished:August 8, 2007Publisher:Springer New YorkLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0387345396

ISBN - 13:9780387345390

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Table of Contents

Preface.- An historical introduction.- Functional equations with two variables.- Functional equations with one variable.- Miscellaneous methods for functional equations.- Some closing heuristics.- Appendix: Hamel bases.- Hints and partial solutions to problems.- Bibliography.- Index.

Editorial Reviews

From the reviews:"This book is devoted to functional equations of a special type, namely to those appearing in competitions . . The book contains many solved examples and problems at the end of each chapter. . The book has 130 pages, 5 chapters and an appendix, a Hints/Solutions section, a short bibliography and an index. . The book will be valuable for instructors working with young gifted students in problem solving seminars." (EMS Newsletter, June, 2008)