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Functional Equations and How to Solve Them

Problem Books in Mathematics

Erschienen am 27.12.2006, Auflage: 1/2007
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Bibliografische Daten
ISBN/EAN: 9780387345345
Sprache: Englisch
Umfang: xii, 131 S., 14 s/w Illustr.
Einband: gebundenes Buch

Beschreibung

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.

Inhalt

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.