Mathematical Olympiad Treasures

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Mathematical Olympiad Treasures aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts and problems in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of geometry and trigonometry, algebra, number theory and combinatorics. While it may be considered a sequel to Mathematical Olympiad Challenges, the focus of Treasures is on engaging a wider audience of undergraduates to think creatively in applying techniques and strategies to problems in the real world. The problems are clustered by topic into self-contained sections. Unlike Challenges, however, Treasures begins with elementary facts, followed by a number of carefully selected problems and an extensive discussion of their solutions. This discussion then leads to more complicated and more intellectually challenging problems, as well as their solutions. This discussion then leads to more complicated and more intellectually challenging problems, as well as their solutions. Throughout the book students are encouraged to express their ideas, conjectures, and conclusions in writing. The goal is to help readers develop a host of new mathematical tools and strategies that will be useful beyond the classroom and in a number of disciplines. Mathematical Olympiad Treasures reflects the depth of experience of two seasoned professors and coaches from the United States and Romanian Olympiad teams.

ABOUT THE AUTHOR Titu Andreescu

Titu Andreescu received his B.A, MS, and PhD from the West University of Timisoara, Romania. The topic of his doctoral dissertation was "Research on Diophantine Analysis and Applications". Titu served as director of the MAA American Mathematics Competitions (1998-2003). coach of the USA International Mathematical Olympiad Team (IMO) for 10 years (1993-2002), director of the Mathematical Olympiad Summer Program (1995-2002) and leader of teh USA IMo Team (1995-2002). In 2002 Titu was elected member of the IMO Advisory Board, the governing Body of the international competition. Titu received the Edyth May Sliffe Award for Distinguished High School Mathematics Teaching from the MAA in 1994 and a "Certificate of Appreciation" from the president of the MAA in 1995 for his outstanding service as coach of the Mathematical Olympiad Summer Program in preparing the US team for its perfect performance in Hong Kong at the 1994 International Mathematical Olympiad.

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Bibliographic information

Title
Mathematical Olympiad Treasures
Author
Edition
Reprint
Publisher
ISBN
8181283228
Length
v+234p., Figures; Glossary; Index; 23cm.
Subjects