Difference between revisions of "Combinatorics"
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'''Combinatorics''' is the study of counting. Different kinds of counting problems can be approached by a variety of techniques. | '''Combinatorics''' is the study of counting. Different kinds of counting problems can be approached by a variety of techniques. | ||
− | == | + | == Student Guides to Number Theory == |
− | + | * '''[[Combinatorics/Introduction | Introductory topics in combinatorics]]''' | |
− | * [[ | + | * '''[[Combinatorics/Intermediate | Intermediate topics in combinatorics]]''' |
− | * [[ | + | * '''[[Combinatorics/Olympiad | Olympiad topics in combinatorics]]''' |
− | * [[ | + | * '''[[Combinatorics/Advanced topics | Advanced topics in combinatorics]]''' |
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== Intermediate Topics == | == Intermediate Topics == | ||
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* [[Partitions]] | * [[Partitions]] | ||
* [[Geometric probability]] | * [[Geometric probability]] | ||
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== Resources == | == Resources == |
Revision as of 18:13, 4 August 2006
Combinatorics is the study of counting. Different kinds of counting problems can be approached by a variety of techniques.
Student Guides to Number Theory
- Introductory topics in combinatorics
- Intermediate topics in combinatorics
- Olympiad topics in combinatorics
- Advanced topics in combinatorics
Intermediate Topics
- Principle of Inclusion-Exclusion
- Conditional Probability
- Recursion
- Correspondence
- Generating functions
- Partitions
- Geometric probability
Resources
Listed below are various combinatorics resources including books, classes, and websites.
Books
- Introductory
- the Art of Problem Solving Introduction to Counting and Probability by David Patrick (details)