Euclidean Geometry in Mathematical Olympiads - Brossura

Chen, Evan

Brossura

ISBN 10: 0883858398 ISBN 13: 9780883858394

Casa editrice: The Mathematical Association of America, 2016

Riassunto

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.

Su questo libro

Descrizione del libro

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.

L'autore

Evan Chen is currently an undergraduate studying at the Massachusetts Institute of Technology. He won the 2014 USA Mathematical Olympiad, earned a gold medal at the IMO 2014 for Taiwan, and acts as a Problem Czar for the Harvard-MIT Mathematics Tournament.

Dettagli dell?edizione

• Editore: The Mathematical Association of America
• Data di pubblicazione: 2016
• ISBN 10: 0883858398
• ISBN 13: 9780883858394
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 326