Challenges in Geometry for Mathematical Olympians Past and Present [Paperback]

The International Mathematical Olympiad (IMO) is the World Championship Competition for High School students, and is held annually in a different country. More than eighty countries are involved.

Containing numerous exercises, illustrations, hints and solutions, presented in a lucid and thought- provoking style, this text provides a wide range of skills required in competitions such as the Mathematical Olympiad.

More than fifty problems in Euclidean geometry involving integers and rational numbers are presented. Early chapters cover elementary problems while later sections break new ground in certain areas and area greater challenge for the more adventurous reader. The text is ideal for Mathematical Olympiad training and also serves as a supplementary text for student in pure mathematics, particularly number theory and geometry.

Dr. Christopher Bradley was formerly a Fellow and Tutor in Mathematics at Jesus College, Oxford, Deputy Leader of the British Mathematical Olympiad Team and for several years Secretary of the British Mathematical Olympiad Committee.

Preface
Glossary of Symbols
1. Integer-sided Triangles
2. Circles and Triangles
3. Lattices
4. Rational Points on Curves
5. Shapes and Numbers
6. Quadrilaterals and Triangles
7. Touching Circles and Spheres
8. More on Triangles
9. Solids
10. Circles and Conics
11. Finite geometries
Appendix: Areal Co-ordinates
Answers to Exercises
References

Christopher Bradley's fascinating book,Challenges in Geometry: for Mathematical Olympians Past and Present,would make a wonderful addition to the personal library of coaches of mathematical competitions, as well as anyone who has an interest in the intersection of geometry and number theory...Challenges in Geometryoffers a great treasure of interesting problems, potential avenues of exploration and research for students, and new insights into rational geometry. --The MathemalÃ