This text on number theory covers material useful for high school national and international olympiads. The text includes materials used for training the United Kingdom Olympiad team.
The aim of this book is to enable talented students to tackle the sort of problems on number theory which are set in mathematics competitions. Topics include primes and divisibility, congruence arithmetic and the representation of real numbers by decimals. A useful summary of techniques and hints is included. Please note: Much of the material in this text was included in the book Introductions to Number Theory and Inequalities, also produced by the UKMT.