Overview
- 404 beautiful, challenging, and instructive problems, all including solutions and discussion.
- Organized by subject and difficulty to motivate students.
- Covers topics in algebra, geometry, trigonometry, combinatorics, and number theory.
- Provides historical insights and asides to stimulate further inquiry
- Emphasizes creative solutions to open-ended problems
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Table of contents (6 chapters)
Keywords
About this book
Reviews
From the reviews:
"The authors are experienced problem solvers and coaches of mathematics teams. This expertise shows through and the result is a volume that would be a welcome addition to any mathematician's bookshelf."—MAA Online
"This [book] is…much more than just another collection of interesting, challenging problems, but is instead organized specifically for learning. The book expertly weaves together related problems, so that insights gradually become techniques, tricks slowly become methods, and methods eventually evolve into mastery…. The book is aimed at motivated high school and beginning college students and instructors. It can be used as a text for advanced problem-solving courses, for self-study, or as a resource for teachers and students training for mathematical competitions, and for teacher professional development, seminars, and workshops.
I strongly recommend this book for anyone interested in creative problem-solving in mathematics…. It has already taken up a prized position in my personal library, and is bound to provide me with many hours of intellectual pleasure."—The Mathematical Gazette
"The Olympiad book is easier to describe since the format of the Olympiad competition and the books it has spawned will be well known to most Gazette readers. … The authors have organised the material to reduce the pain … and to make the material a genuine learning experience for Olympian hopefuls and their teachers. … a valuable addition to the problem literature, and their organisational features are generally helpful rather than merely attempts to look different." (John Baylis, The Mathematical Gazette, July, 2004)
Authors and Affiliations
Bibliographic Information
Book Title: Mathematical Olympiad Challenges
Authors: Titu Andreescu, Răzvan Gelca
DOI: https://doi.org/10.1007/978-0-8176-4611-0
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2009
Softcover ISBN: 978-0-8176-4528-1Published: 09 December 2008
eBook ISBN: 978-0-8176-4611-0Published: 04 December 2008
Edition Number: 2
Number of Pages: XVII, 283
Number of Illustrations: 108 b/w illustrations
Topics: Geometry, Number Theory, Mathematics, general, Algebra, Mathematical Logic and Foundations, Combinatorics