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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
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)Dalla quarta di copertina:
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 the Putnam competition, and to high school students working to improve their skills on mathematics competitions at the national and international level. Mathematics educators who train students for these competitions will find a wealth of material for training on functional equations problems.
The book also provides a number of brief biographical sketches of some of the mathematicians who pioneered the theory of functional equations. The work of Oresme, Cauchy, Babbage, and others, is explained within the context of the mathematical problems of interest at the time.
Christopher Small is a Professor in the Department of Statistics and Actuarial Science at the University of Waterloo. He has served as the co-coach on the Canadian team at the IMO (1997, 1998, 2000, 2001, and 2004), as well as the Waterloo Putnam team for the William Lowell Putnam Competition (1986-2004). His previous books include Numerical Methods for Nonlinear Estimating Equations (Oxford 2003), The Statistical Theory of Shape (Springer 1996), Hilbert Space Methods in Probability and Statistical Inference (Wiley 1994).
From the reviews:
Functional Equations and How to Solve Them fills a need and is a valuable contribution to the literature of problem solving.
- Henry Ricardo, MAA Reviews
The main purpose and merits of the book...are the many solved, unsolved, partially solved problems and hints about several particular functional equations.
- Janos Aczel, Zentralblatt
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Descrizione libro Condizione libro: Brand New. Brand New Original US Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Codice libro della libreria AIND-12288
Descrizione libro Condizione libro: New. New. US edition. Perfect condition. Ship by express service to USA, Canada, Australia, France, Italy, UK, Germany and Netherland. Customer satisfaction our priority. Codice libro della libreria ABE-190516-24113
Descrizione libro Condizione libro: Brand New. New. US edition. Customer Satisfaction guaranteed!!. Codice libro della libreria SHAK24113
Descrizione libro Condizione libro: New. Brand New Original US Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery. Codice libro della libreria AUSB-12288
Descrizione libro Springer, 2006. Condizione libro: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: 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. Codice libro della libreria ABE_book_new_0387345345
Descrizione libro Springer, 2006. Hardcover. Condizione libro: New. book. Codice libro della libreria 0387345345
Descrizione libro Springer 2006-11-14, 2006. Hardcover. Condizione libro: New. 1. 0387345345. Codice libro della libreria 672799
Descrizione libro Springer, 2006. Hardback. Condizione libro: NEW. 9780387345345 Hardback, This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0273291
Descrizione libro Springer-Verlag New York Inc., 2006. HRD. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IP-9780387345345
Descrizione libro Springer, 2016. Paperback. Condizione libro: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Codice libro della libreria ria9780387345345_lsuk