107 Geometry Problems from the Awesomemath Year-Round Program - Hardcover

Andreescu, Titu; Rolinek, Michal; Tkadlec, Josef

Hardcover

ISBN 10: 0979926971 ISBN 13: 9780979926976

Publisher: Amer Mathematical Society, 2013

Synopsis

The book begins with a theoretical chapter, where we review basic facts and familiarize the reader with some more advanced techniques. We then proceed to the main part of the work, the problem sections. The problems are a carefully selected and balanced mix which offers a vast variety of flavors and difficulties, ranging from AMC and AIME levels to high-end IMO problems. Out of thousands of Olympiad problems from around the globe we chose those which best illustrate the featured techniques and their applications. The problems meet our demanding taste and fully exhibit the enchanting beauty of classical geometry. For every problem we provide a detailed solution and strive to pass on the intuition and motivation lying behind. Numerous problems have multiple solutions. Directly experiencing Olympiad geometry both as contestants and instructors, we are convinced that a neat diagram is essential to efficiently solving a geometry problem. Our diagrams do not contain anything superfluous, yet emphasize the key elements and benefit from a good choice of orientation. Many of the proofs should be legible only from looking at the diagrams.

About this title

About the Author

Titu Andreescu, University of Texas at Dallas, Richardson, TX, USAMichal Rolinek, Institute of Science and Technology, Klosterneuburg, AustriaJosef Tkadlec, Charles University, Prague, Czech Republic

Edition details

• Publisher: Amer Mathematical Society
• Publication date: 2013
• Language: English
• ISBN 10: 0979926971
• ISBN 13: 9780979926976
• Binding: Hardcover
• Number of pages: 188