书目名称 | Functional Equations and How to Solve Them |
编辑 | Christopher G. Small |
视频video | |
概述 | Interesting collection of problems and topics.Very clear and enjoyable exposition.Nicely organized to highlight connections between various sections |
丛书名称 | Problem Books in Mathematics |
图书封面 |  |
描述 | .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...At the end of each chapter, readers will find a list of problems associated with the material in that chapter. The problems vary greatly, with the easiest problems being accessible to any high school student who has read the chapter carefully. The most difficult problems will be a reasonable challenge to advanced students studying for the International Mathematical Olympiad at the high school level or the William Lowell Putnam Competition for university undergraduates. The book ends with an appendix containing topics that provide a springboard for |
出版日期 | Textbook 2007 |
关键词 | DEX; Finite; Mathematica; Microsoft Access; development; equation; form; function; functional; functional equ |
版次 | 1 |
doi | https://doi.org/10.1007/978-0-387-48901-8 |
isbn_softcover | 978-0-387-34539-0 |
isbn_ebook | 978-0-387-48901-8Series ISSN 0941-3502 Series E-ISSN 2197-8506 |
issn_series | 0941-3502 |
copyright | Springer-Verlag New York 2007 |