Introduction to Functional Equations: Theory and Problem-Solving Strategies for Mathematical Competitions and Beyond - Brossura

Efthimiou, Costas

Brossura

ISBN 10: 0821853147 ISBN 13: 9780821853146

Casa editrice: Amer Mathematical Society, 2011

Riassunto

Functions and their properties have been part of the rigorous precollege curriculum for decades. And functional equations have been a favorite topic of the leading national and international mathematical competitions. Yet the subject has not received equal attention by authors at an introductory level. The majority of the books on the topic remain unreachable to the curious and intelligent precollege student. The present book is an attempt to eliminate this disparity. The book opens with a review chapter on functions, which collects the relevant foundational information on functions, plus some material potentially new to the reader. The next chapter presents a working definition of functional equations and explains the difficulties in trying to systematize the theory. With each new chapter, the author presents methods for the solution of a particular group of equations. Each chapter is complemented with many solved examples, the majority of which are taken from mathematical competitions and professional journals. The book ends with a chapter of unsolved problems and some other auxiliary material. The book is an invaluable resource for precollege and college students who want to deepen their knowledge of functions and their properties, for teachers and instructors who wish to enrich their curricula, and for any lover of mathematical problem-solving techniques.

Dettagli dell'edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2011
• Lingua: Inglese
• ISBN 10: 0821853147
• ISBN 13: 9780821853146
• Rilegatura: Copertina flessibile
• Numero di pagine: 363
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile