Good Book On Combinatorics - Mathematics Stack Exchange Of the books that have already been mentioned, I like Graham, Knuth, Patashnik, Concrete Mathematics, isn’t precisely a book on combinatorics, but it offers an excellent treatment of many combinatorial tools; it probably requires a little more mathematical maturity than the Bóna
Combinatorial Analysis: Fermats Combinatorial Identity I was looking through practice questions and need some guidance assistance in Fermat's combinatorial identity I read through this on the stack exchange, but the question was modified in the latest edition of my book
Olympiad Combinatorics book - Mathematics Stack Exchange Can anyone recommend me an olympiad style combinatorics book which is suitable for a high schooler ? I know only some basics like Pigeon hole principle and stars and bars I hope to find a book w
combinatorics - Mathematics Stack Exchange Let me add one purely-combinatorial proof : the justification for doing so is that I think we can tell this in a "committee-forming" way that is used for other identities (e g Pascal's rule), without needing to think about picking integers (this always tends to confuse me, as a novice, because it isn't always clear to what extent it matters
Books in Combinatorial optimization - Mathematics Stack Exchange I wrote Combinatorial optimization in the title , but I am not sure if this is what I am looking for Recently, I was getting more interested in Koing's theorem, Hall marriage theorem I am inte
Combinatorial (no induction) proof: $a_n\le 2^ {n-1}$ for $ (1,1,1 . . . What “combinatorial, no induction” means here Please model $a_n$ by counting explicit objects (e g , tilings paths words with local $\ {1,2,3\}$ rules) and prove the inequalities via an injection surjection comparison into a larger class whose size is easy to bound