Euclidean Geometry in Mathematical Olympiads, edited by Evan Chen, The Mathematical Association of America, Washington, D. C., 2016. 311 pp., $60.00 (paper). ISBN 9780883858394.
Five out of five stars
While Euclidean geometry was codified almost 2,500 years ago, the field has been anything but stagnant since then. This book is an existence proof of how dynamic it is. The problems are original, challenging and have that achievable level of difficulty that makes them worthy Mathematical Olympiad material.
Each chapter opens with some explanation of the material needed to understand and work through the problems. Theorems and proofs are stated, followed by example problems with detailed solutions. Each chapter ends with a set of Olympiad-style problems. Brief hints to the methods used to solve the end-of-chapter problems appear in appendix B with selected solutions given in appendix C.
If you are a coach of budding Mathematical Olympians or an instructor looking for challenging problems in Euclidean geometry, this book contains what you are looking for. The material is hard, yet so revealing of the beauty that is geometry.