Challenges in Geometry for Mathematical Olympians Past and Present

by Bradley, Christopher J.

• ISBN13: 9780198566922
• ISBN10: 0198566921
• Format: Paperback
• Copyright: 2005-04-28
• Publisher: Oxford University Press

Summary

The International Mathematical Olympiad (IMO) is the World Championship Mathematics 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 are a greater challenge for the more adventurous reader. The text is ideal for MathematicalOlympiad training and also serves as a supplementary text for students 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.

Author Biography

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.

Table of Contents

Preface

Glossary of Symbols

Integer-sided Triangles

Circles and Triangles

Lattices

Rational Points on Curves

Shapes and Numbers

Quadrilaterals and Triangles

Touching Circles and Spheres

More on Triangles

Solids

Circles and Conics

Finite geometries

Appendix: Areal Co-ordinates

Answers to Exercises

References

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