Combinatorial problems in mathematical competitions

✍ Scribed by Zhang, Yao

• Publisher: World Scientifci
• Year: 2011
• Tongue: English
• Leaves: 303
• Series: Mathematical Olympiad Series 4
• Category: Library

✦ Table of Contents

Counting Principles and Counting Formulas
Pigeonhole Principles and Mean Value Principles
Generating Functions
Recurrence Sequence of Numbers
Classification and Method of Fractional Steps
Corresponding Method
Counting in Two Ways
Recurrence Method
Coloring Method and Evaluation Method
Proof by Contradiction and Extreme Principle
Locally Adjusted Method
Constructive Method
Combinatorial Counting Problems
Existence Problems and the Proof of Inequalities in Combinatorial Problems
Combinatorial Extremum Problems.