I've been studying combinatorics for some time from a contest-prep perspective. The books I have more-or-less gone through are Principles and Techniques in Combinatorics and A Walk Through in Combinatorics (very slightly read). What I'd like to know is that are there more books on Combinatorics with numerous problems and proper, clear explanations. I went through a book on Combinatorics by Mladenovic--Its coverage of topics was great, with Burnside Lemma, Graph Theory, etc. However, the book escalated very quickly with complex explanations for even simple solutions that I knew.

So, tl;dr: please suggest books on Combinatorics that are informal in their tone, that delve into Combinatorics deeply with a hell lotta practice problems of ALL difficulties.

I don't want to be stuck on an impossible problem, but rather learn concepts nice and easy. Also, some difficult problems every now and then would be good too.

Thanks a ton!

P.S.: I read Combinatorics by Vilenkin and I liked the approach through real life examples. Would like something like it. Or is it good enough for contests?

Edit: I've already checked AoPS recommendations, previously as well. All I want are your personal opinions, kindly. (Any Math Olympians here? And enthusiasts?)

  • 1
    $\begingroup$ I don't know, sir, I got the English Translation, I think... $\endgroup$
    – Sen47
    Dec 15 '19 at 12:15

Have a look here.

In this aops-link you'll find some of the best books regarding Olympiad-training categorized into Theory, Problems and Both books and into Algebra, Number Theory, Geometry and Combinatorics (which are the basic olympiad disciplines).

I personally haven't read all of them, however, I would recommend you to read two of the books that helped me the most when I participated in math-olympiads:

  • A Course in Combinatorics - Lint and Wilson

  • A Path to Combinatorics for Undergraduates - Andreescu, Feng

Hope it helps ;)

Remark: Besides, I recommend you to practice as much as you can, i.e. solve as many Combinatorics problems as possible. I used to believe that reading Theory-Books would be enough, but it turned out that it wasn not...

  • $\begingroup$ I think so too, about solving problems. The thing is, if I could have a book with relevant theory+problems. However, thanks a lot for your advice(+1). I'll wait for some more answers! $\endgroup$
    – Sen47
    Dec 15 '19 at 13:12
  • $\begingroup$ I think I'll use Path to Combinatorics, seems really good. Do you know any problem books on Combinatorics? $\endgroup$
    – Sen47
    Dec 16 '19 at 11:23
  • $\begingroup$ Well, there's this excellent pdf by Amir Hossein Parvardi $\endgroup$
    – Dr. Mathva
    Dec 17 '19 at 16:51
  • $\begingroup$ You can also work with the IMO shortlisted Combinatorics problems. These might be difficult though $\endgroup$
    – Dr. Mathva
    Dec 17 '19 at 16:52

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.