Euclidean Geometry in Mathematical Olympiads (Maa Problem)

Chen, Evan

ISBN 10: 0883858398 / ISBN 13: 9780883858394

Published by American Mathematical Society, 2016

About this Item

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Bibliographic Details

Title: Euclidean Geometry in Mathematical Olympiads...

Publisher: American Mathematical Society

Publication Date: 2016

Binding: paperback

Condition: Like New

About this title

Synopsis:

This challenging problem-solving book on Euclidean geometry requires nothing of the reader other than courage. Readers will encounter cyclic quadrilaterals, power of a point, homothety, and triangle centers, as well as such classical gems as the nine-point circle, the Simson line, and the symmedian. Both a traditional and a computational view of the use of complex numbers and barycentric coordinates is offered, while more advanced topics are covered in the final part. These include inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also how one would invent the solution to begin with. Providing over 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions, this book is especially suitable for students preparing for national or international mathematical Olympiads.

Book Description:

This challenging problem-solving book on Euclidean geometry is suitable for students preparing for national or international mathematical Olympiads. In addition to offering a guided tour through the classical results of Euler, Pascal, and others, it provides several carefully chosen worked examples and over 300 practice problems from contests around the world.