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竞赛水平数学入门 A Primer for Mathematics Competitions  直接下载 http://rapidshare.com/files/1809 ... cs_Competitions.rar This book provides a comprehensive training resource for competitions from local and provincial to national Olympiad level, containing hundreds of diagrams, and graced by many light-hearted cartoons. It features a large collection of what mathematicians call "beautiful" problems - non-routine, provocative, fascinating, and challenging problems, often with elegant solutions. It features careful, systematic exposition of a selection of the most important topics encountered in mathematics competitions, assuming little prior knowledge. Geometry, trigonometry, mathematical induction, inequalities, Diophantine equations, number theory, sequences and series, the binomial theorem, and combinatorics - are all developed in a gentle but lively manner, liberally illustrated with examples, and consistently motivated by attractive "appetiser" problems, whose solution appears after the relevant theory has been expounded. Each chapter is presented as a "toolchest" of instruments designed for cracking the problems collected at the end of the chapter. Other topics, such as algebra, co-ordinate geometry, functional equations and probability, are introduced and elucidated in the posing and solving of the large collection of miscellaneous problems in the final toolchest. An unusual feature of this book is the attention paid throughout to the history of mathematics - the origins of the ideas, the terminology and some of the problems, and the celebration of mathematics as a multicultural, cooperative human achievement. As a bonus the aspiring "mathlete" may encounter, in the most enjoyable way possible, many of the topics that form the core of the standard school curriculum. Tournament of the Towns 80年-02年试题和解法，五册 我有四本，要的短消息信箱 我发 DJVU图片格式。 新出的第六册，没得下，到网上购买  http://www.amtt.com.au/The International Mathematics Tournament of Towns is a problem solving competition in which teams from different cities are handicapped according to the population of the city. Ranking only behind the International Mathematical Olympiad, the competition had its origins in Eastern Europe (as did the Olympiad) but is now open to cities throughout the world. This book contains a unique record of the problems and solutions of the Tournament from 2002 to 2007. $42.00 Australian Mathematical Olympiads 1979-1995 djvu格式 要的短消息信箱  This book is a complete collection of all Australian Mathematical Olympiad papers from the first paper in 1979 to 1995. Solutions to all of the problems are included and in a number of cases, alternative solutions are also offered. Chinese Mathematics Competitions and Olympiads, DJVU格式   直接下载 http://rapidshare.com/files/2707 ... a_MO_1993-2001.djvu http://rapidshare.com/files/2707 ... _MO__1981-1993.djvu [ 本帖最后由 lo@syd 于 2010-3-11 21:35 编辑 ] |
