دانلود کتاب 2021: Victorian English Country Garden Weekly Calendar Planner Organizer

فهرست مطالب :

COMBINATORICSFIRST STEPS
COMBINATORICSFIRST STEPS
Contents
Preface
Introduction
Chapter 1Elementary Enumerations ofCombinations
1. What is Combinatorics?
Problems
2. Combinatorial Rule of Product
Problems
3. Bijection. Combinatorial Bijection Principle
Problems
4. Recurrence
4.1. Sequences
4.2. Definition of a Sequence by a Recurrence Relation
4.3. Relation between Recursive and Direct Formulas
4.4. Recurrence Relations in Combinatorial Problems
Problems
Chapter 2Basic Concepts of Set Theory
1. Sets
1.1. The Notion of a Set
1.2. Subsets
1.3. Intersection
1.4. Union
1.5. Difference
1.6. Complement
1.7. Cartesian Product
2. Correspondence
2.1. Mapping
Problems
Chapter 3Basic Combinatorial Structures
1. Order. Permutations
2. Tuples
3. Subsets
4. Numbers Ckn: Combinatorial and Computational Aspects
Problems
5. Properties of Binomial Coefficients Ck
Problems
6. Raising Binomials to Powers. Newton’s Binomial Formula
Problems
Chapter 4Paths in a Rectangle
Problems
Chapter 5Inclusion-Exclusion Principle
Problems
Chapter 6Trajectories Inside a Circle
1. Zigzags in a Circle without Self-Intersections
2. Trajectories in a Circle with Self-Intersections
Problems
Chapter 7Trees
Problems
AUTHORS’CONTACT INFORMATION
INDEX
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