Combinatorics
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This page contains resources about Combinatorics.
Subfields and Concepts[edit]
- Algorithms
- Greedy Algorithms
- Graph Theory
- Game Theory
- Counting and Probability
- Pigeonhole Principle
- Principle of Mathematical Induction
- Principle of Inclusion and Exclusion
Online Courses[edit]
Video Lectures[edit]
Lecture Notes[edit]
- Combinatorics by Stefan Walzer
- Combinatorics: The fine art of counting by Andrew Sutherland
- Combinatorics by Peter J. Cameron
Books[edit]
- Wilson, R. (2016). Combinatorics: A Very Short Introduction. Oxford University Press.
- Feng, Y. (2016). Combinatorial Extremization (Volume 13). World Scientific.
- Hollos, S., & Hollos, J. R. (2016). Combinatorics II Problems and Solutions: Counting Patterns. Abrazol Publishing.
- Beeler, R. A. (2015). How to Count: An Introduction to Combinatorics and Its Applications. Springer.
- Zhou, X. (2015). Counting: Math for Gifted Students. CreateSpace.
- DeTemple, D., & Webb, W. (2014). Combinatorial reasoning: An introduction to the art of counting. John Wiley & Sons.
- Hollos, S., & Hollos, J. R. (2013). Combinatorics Problems and Solutions. Abrazol Publishing.
- Soberón, P. (2013). Problem-Solving Methods in Combinatorics. Birkhäuser.
- Zhang, Y. (2011). Combinatorial Problems in Mathematical Competitions (Volume 4). World Scientific.
- Patrick, D. (2007). Introduction to Counting and Probability. 2nd Ed. AoPS Incorporated.
- Patrick, D. (2007). Intermediate Counting and Probability. AoPS Incorporated.
- Andreescu, T., & Feng, Z. (2004). A path to combinatorics for undergraduates: counting strategies. Birkhäuser.
- Andreescu, T., & Feng, Z. (2002). 102 combinatorial problems: from the training of the USA IMO team. Birkhäuser.
- Chuan-Chong, C., & Khee-Meng, K. (1992). Principles and techniques in combinatorics. World Scientific
- Tomescu, I. (1985). Problems in combinatorics and graph theory. Wiley-Interscience.
- Ψύχας, Β. Συνδιαστική για Ολυμπιάδες. [in Greek] (link)
- Κοντοκώστας, Δ. Συνδιαστική. [in Greek[ (link)
Software[edit]
See also[edit]
Other Resources[edit]
- Combinatorics - AoPS
- Olympiad Combinatorics Book by Pranav A. Sriram
- Combinatorics Problems - AoPS
- Discrete Mathematics - Brilliant