Combinatorics

This page contains resources about Combinatorics.

Subfields and Concepts

• Algorithms
  • Greedy Algorithms
• Graph Theory
• Game Theory
• Counting and Probability
• Pigeonhole Principle
• Principle of Mathematical Induction
• Principle of Inclusion and Exclusion

Online Courses

Lecture Notes

• Combinatorics by Stefan Walzer
• Combinatorics: The fine art of counting by Andrew Sutherland
• Combinatorics by Peter J. Cameron

Books

• 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)

See also

• International Mathematical Olympiad

Other Resources

• Combinatorics - AoPS
• Olympiad Combinatorics Book by Pranav A. Sriram
• Combinatorics Problems - AoPS
• Discrete Mathematics - Brilliant