Euclidean Geometry in Mathematical Olympiads (Maa Problem)

ISBN-13: 9780883858394

ISBN-10: 0883858398

Author: Evan Chen

Publication date:
2016
Publisher:
American Mathematical Society
Format:
Paperback 311 pages
Category:
Algebra, Calculus, Geometry, Mathematics
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Summary

Acknowledged author Evan Chen wrote Euclidean Geometry in Mathematical Olympiads (Maa Problem) comprising 311 pages back in 2016. Textbook and etextbook are published under ISBN 0883858398 and 9780883858394. Since then Euclidean Geometry in Mathematical Olympiads (Maa Problem) textbook was available to sell back to BooksRun online for the top buyback price of $13.52 or rent at the marketplace.


Description

This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. 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 describe in close detail how one would invent the solution to begin with. The text contains as selection of 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, or for teachers looking for a text for an honor class.