In the 19th century, the algebra of the plane was part of the armoury of every serious mathematician. In recent times the major fronts of research mathematics have moved elsewhere. However, those skills and methods are alive and well, and can be found in this book. The Algebra of Geometry deserves a place on the shelf of every enthusiast for Euclidean Geometry, amateur or professional, and is certainly valuable reading for students wishing to compete in senior Mathematical Olympiads. For age 16+ mathematicians.

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Published in December 2010, covering the 2009-10 academic year, this volume contains question papers and solutions from the three mass challenges and their follow-on rounds; material from the Team Maths Challenge; material from the Team Maths Challenge; details of the highest scorers and a review of the International Mathematical Olympiad.

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The aim of this 200 page 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. This is a fully revised and extended edition of a book which was 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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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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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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Published in January 2010, covering the 2008-9 academic year, this volume contains question papers and solutions from the three mass challenges and their follow-on rounds; material from the Team Maths Challenge; material from the Team Maths Challenge; details of the highest scorers and a review of the International Mathematical Olympiad.

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Yearbooks from previous years are available. Please contact us for further details.