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Combinatorial Problems in Mathematical Competitions

Yao Zhang
Publisher: 
World Scientific
Publication Date: 
2011
Number of Pages: 
289
Format: 
Paperback
Series: 
Mathematical Olympiad Series 4
Price: 
34.00
ISBN: 
9789812839497
Category: 
Problem Book
We do not plan to review this book.
  • Fundamental Knowledge:
    • Principles and Formulas of Counting
    • Pigeonhole Principle and Mean Value Principle
    • The Generating Functions
    • Recurrence Sequence of Numbers
  • Basic Method:
    • Classification and Method of Fractional Steps
    • Correspondent Method
    • Counting in Two Ways
    • Recurrence Method
    • Coloring Method and Evaluation Method
    • Reduction to Absurdity and the Extreme Principle
    • Local Adjustment Method
    • Constructive Method
  • Typical Problems:
    • Combinatorial Counting Problems
    • Existence Problems and the Proof of Inequalities in Combinatorial Problems
    • Combinatorial Extremum Problems

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