Problem Solving Methods and Strategies in High School Mathematical Competitions

This book not only introduces important methods and strategies for solving problems in mathematics competition, but also discusses the basic principles behind them and the mathematical way of thinking.

It may be used as a valuable textbook for a mathematics competition course or a mathematics education course at undergraduate and graduate level. It can also serve as a reference book for students and teachers in primary and secondary schools.

The materials of this book come from a book series of Mathematical Olympiad Competition. It is a collection of problems and solutions of the major mathematical competitions in China. The translation is done by Yongming Liu.

The authors are mathematical competition teachers and researchers, many China's national team coaches and national team leaders. Many techniques and approaches in the book come directly from their own research results.

Contents:

• Methods of Reduction
• Proofs by Contradiction
• Inductive Methods
• The Drawer Principle
• InclusionExclusion Principle
• Extreme Principle
• Parity
• Area Methods
• Thinking Globally
• Proper Representations
• Combine Numbers and Figures
• Correspondence and Pairing
• Recurrence
• Colouring
• Assignment Methods
• Calculate in Two Ways
• Stepwise Adjustment
• Methods of Construction
• Invariants and Monovariants
• Graph Theory Method
• Solutions for the Exercises

Readership: Senior high school students and math teachers, undergraduate in mathematics, amateurs interested in mathematics.
Key Features:

• China has performed outstandingly in IMO and the book gathers from the tutorial experience of many excellent teachers
• The author is one of the leading experts in aspects of maths contests in China as the coach of China's IMO National Team
• The Chinese version of the book has been very popular

Dettagli