A comprehensive resource aimed especially at training high school students for participation in mathematics competitions, but incidentally developing and reinforcing the core mathematics of much of the school curriculum, spiced throughout with the historical background and consistently motivated by attractive problems. The book is suitable for use by the aspiring "mathlete", or as a coaching manual for teachers wishing to bridge the gulf between the often rather dull standard exercises of the school curriculum and the more challenging, non-routine problems that feature in mathematics competitions, from provincial to national Olympiad level. It offers an unusually systematic, user-friendly exposition of the mathematical prerequisites, and also an unusually rich collection of appealing examples and problems, carefully graded, with fully worked solutions. It will be found useful as a source of "appetising" problems for enlivening mathematics lessons, and as a stimulating companion and complement to the school curriculum for the mathematically gifted learner.

1. Geometry; 2. Algebraic Inequalities and Induction; 3. Diophantine Equations; 4. Number Theory; 5. Trigonometry; 6. Sequences and Series; 7. Binomial Theorem; 8. Combinatorics; 9. Miscellaneous Problems and Solutions

Alexander ZawairaSenior Scientist, Kapa Biosystems, Cape Town, South Africa, Gavin HitchcockUniversity of Zimbabwe