Overview
- Second edition includes new sections, revisions, and many more Olympiad-like problems at various levels of difficulty
- Aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts and problems in undergraduate mathematics
- Contains a stimulating collection of problems in the subjects of algebra, geometry and trigonometry, number theory and combinatorics
- Should benefit undergraduate students, advanced high school students, instructors, and coaches
- Encourages readers to think creatively about techniques and strategies for solving real-world problems
- Includes supplementary material: sn.pub/extras
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Table of contents (6 chapters)
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Front Matter
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Problems
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Front Matter
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Solutions
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Front Matter
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Back Matter
Keywords
About this book
This second edition of Mathematical Olympiad Treasures contains a stimulating collection of problems in geometry and trigonometry, algebra, number theory, and combinatorics. It encourages readers to think creatively about techniques and strategies for solving real-world problems, with new sections, revisions, and many more Olympiad-like problems at various levels of difficulty.
The problems are clustered by topic into three self-contained chapters. The book begins with elementary facts, followed by carefully selected problems and detailed, step-by-step solutions, which then lead to more complicated, challenging problems and their solutions. Reflecting the vast experience of two professors and Mathematical Olympiad coaches, the text will be invaluable to teachers, students, and puzzle enthusiasts. The advanced reader is challenged to find alternative solutions and extensions of the proposed problems.
Authors and Affiliations
Bibliographic Information
Book Title: Mathematical Olympiad Treasures
Authors: Titu Andreescu, Bogdan Enescu
DOI: https://doi.org/10.1007/978-0-8176-8253-8
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LCC 2012
Hardcover ISBN: 978-0-8176-8252-1Published: 20 September 2011
eBook ISBN: 978-0-8176-8253-8Published: 21 September 2011
Edition Number: 2
Number of Pages: VIII, 253
Topics: Combinatorics, Number Theory, Algebraic Geometry, Mathematical Logic and Foundations, Mathematics, general