Functional Equations and How to Solve Them
1st Edition
Published on 3. April 2007
XII, 131 pages
978-0-387-48901-8 (ISBN)
Description
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.
Reviews / Votes
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)
More details
Other editions
Additional editions
Christopher G. Small
Functional Equations and How to Solve Them
Book
08/2007
Springer
€64.19
Shipment within 5-7 days
Christopher G. Small
Functional Equations and How to Solve Them
Book
11/2006
Springer
€80.24
Shipment within 5-7 days
Content
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.
