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The subject of inequalities provides a rich source of material for mathematics competitions and beyond. This accessible text aims to give the enthusiastic student plenty of tips on how to select the correct sort of inequality and how to apply it effectively to a given problem. It is a thoroughly revised and extended edition of a book initially published as part of the composite volume ‘Introductions to Number Theory and Inequalities’. The author is a former Oxford University lecturer and teacher at Clifton College, Bristol.

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This book should appeal to anyone 16+ who enjoys solving the kind of challenging and attractive geometry problems that have virtually vanished from the school curriculum, but which still play a central role in national and international mathematics competitions. It is a treasure trove of wonderful geometrical problems, with hints for their solution.

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Crossing the Bridge provides a course on geometry for use in the classroom. It re-emphasises some traditional features of geometrical education and the bulk of the text is devoted to carefully constructed exercises, either for classroom discussion or individual study.

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A Mathematical Olympiad Primer is an excellent guide for young mathematicians preparing for competitions, such as the British Mathematical Olympiad. The book contains theory including algebra, combinatorics and geometry, and BMO1 Problems and Solutions from 1996 onwards.

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Everything in this book is connected to the sequence of numbers: 2, 6, 20, 70, 252, 924, 3 432,.... Students and teachers alike may be astounded at the variety and depth of mathematical ideas it can lead to. Includes exercises and answers.

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This 188-page book contains question papers and solutions for 9 Senior Challenges (1997-2005), 10 Intermediate Challenges (1997-2006) and 10 Junior Challenges (1997-2006). This book was published to celebrate the 10th Anniversary of the founding of UKMT.

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This 272-page book seeks to make the subject of Euclidean geometry accessible to a larger group of younger mathematicians by cultivating mathematical thinking. The contents follow the development of Euclid and includes Pythagoras, trigonometry, circle theorems, Ceva and Menelaus, geometrical inequalities, and co-ordinate geometry.
Dr Christopher Bradley has helped for a number of years with training for the International Mathematical Olympiad, specialising in geometry. Dr Tony Gardiner has been active in promoting mathematics enrichment for many years through books, articles and meetings.

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