Combinatorial Problems in Mathematical Competitions 1st Edition by Yao Zhang – Ebook PDF Instant Download/Delivery: 978-9812839497, 9812839496
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Product details:
ISBN 10: 9812839496
ISBN 13: 978-9812839497
Author: Yao Zhang
Table of contents:
PART ONE
Fundamental Knowledge
Chapter 1
Principles and Formulas of Counting
Exercise 1
Chapter 2
Pigeonhole Principle and Mean Value Principle
Exercise 2
Chapter 3
The Generating Functions
Exercise 3
Chapter 4
Recurrence Sequence of Numbers
Exercise 4
PART TWO
Basic Method
Chapter 5
Classification and Method of Fractional Steps
Exercise 5
Chapter 6
Correspondent Method
Exercise 6
Chapter 7
Counting in Two Ways
Exercise 7
Chapter 8
Recurrence Method
Exercise 8
Chapter 9
Coloring Method and Evaluation Method
Exercise 9
Chapter 10
Reduction to Absurdity and the Extreme Principle
Exercise 10
Chapter 11
Local Adjustment Method
Exercise 11
Chapter 12
Construction Method
Exercise 12
PART THREE
Typical Problems
Chapter 13
Combinatorial Counting Problems
Exercise 13
Chapter 14
Existence Problems and the Proofs of Inequalities in Combinatorial Problems
Exercise 14
Chapter 15
Combinatorial Extremal Problems
Exercise 15
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Tags: Yao Zhang, Combinatorial Problems, Mathematical Competitions


