Euclidean Geometry in Mathematical Olympiads (EGMO)
by Evan Chen · MAA Press / AMS
The standard modern olympiad geometry text: cyclic quadrilaterals, power of a point, homothety, then complex numbers, barycentric coordinates, inversion and projective methods. Over three hundred contest problems, with the author's errata and reader notes hosted free. Olympiad geometry is the one subject where general problem-solving texts are insufficient - it has its own toolkit (complex numbers, barycentrics, inversion) that Zeitz and Engel barely touch. This is the acknowledged modern treatment, and the specialist slot in the set.
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