Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics. In each lecture, the concepts, theories and methods are taken as the core. The examples are served to explain and enrich their intension and to indicate their applications.
Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics. In each lecture, the concepts, theories and methods are taken as the core. The examples are served to explain and enrich their intension and to indicate their applications.
Mathematical_Teasers is a collection of some 300 carefully selected, unusual, and above all, challenging mathematical problems, puzzles, riddles, and a number of playing-card and dice tricks for both students and laymen, and especially for those who have a modicum of mathematical ability or a bent for puzzle-solving.
Nearly all puzzle books published today grossly underestimate the intelligence of their public. The reader can no longer be entertained with the simple match-trick or coin puzzles, neither does he want to see problems purely mathematical in nature, such as can be found in any textbook. We have tried to produce a book of those puzzles which lie between the two extremes.
