Uzumaki_Narutoo's blog

Need recommendation about combinatorics
By Uzumaki_Narutoo, history, 4 years ago, In English

Hello guys I'm trying to be good at counting using combinatorics.

Can anyone recommend some tutorials/problems for me ... Thanks in advance and RAMADAN KAREEM

  • Vote: I like it
  • +126
  • Vote: I do not like it

Comments Comments (15)
| Write comment?
»
4 years ago, # |
← Rev. 2   Vote: I like it +27 Vote: I do not like it

Hello there; I have had to study combinatorics for a while and I found these books kind of useful, you can take a look at them:

— Principles And Techniques In Combinatorics (by Chuan Chong Chen, Koh Khee Meng)

— Mathematical Circles — Russian Experience (by Dmitri Fomin, Sergey Genkin, Ilia V. Itenberg)

I think these two books are good for starting with combinatorics, also there are many combinatorics questions in different national olympiads of mathematics, and there are some mathematical Tournaments containing great combinatorics problems, some to name can be:

— Harvard–MIT Mathematics Tournament

— Math Majors of America Tournament for High Schools

— Princeton University Mathematics Competition

also I have been using Iran's National Olympiad in Informatics questions, because the first two rounds of it are all about combinatorics, I don't know if they are translated into English or not, but they are useful anyways.

guess these can be enough for the start :)

→ Reply
»
4 years ago, # |
← Rev. 2   Vote: I like it +19 Vote: I do not like it

This Book is helpful: A Path To Combinatorics For Undergraduates by Titu Andreescu

→ Reply
»
4 years ago, # |
  Vote: I like it +16 Vote: I do not like it

I have a pair of nice problems https://atcoder.jp/contests/abc171/tasks/abc171_f https://atcoder.jp/contests/abc110/tasks/abc110_d

→ Reply
»
4 years ago, # |
  Vote: I like it +11 Vote: I do not like it

You can try this Link

→ Reply
»
4 years ago, # |
  Vote: I like it +7 Vote: I do not like it

Try EnumerativeCombinatorics, it's a great book.

→ Reply
  • »
    »
    4 years ago, # ^ |
    ← Rev. 2   Vote: I like it 0 Vote: I do not like it

    its very advanced, even people who have math background find it very difficult, its better to start from beginner friendly books. But yeah i could appreciate the book that its very concise, also notations in books are used very beautifully.

    → Reply
  • »
    »
    4 years ago, # ^ |
      Vote: I like it 0 Vote: I do not like it

    Thanks

    → Reply
»
4 years ago, # |
← Rev. 2   Vote: I like it +5 Vote: I do not like it

Some useful sets of problems (in general)
https://progvar.fun/problemsets?fbclid=IwAR2AplbbVxKLG11ktqAyy87d6CxRP9BqsW4MzxYUP9r1508DZX188253drE
(Refer to Counting sections)

→ Reply
»
4 years ago, # |
  Vote: I like it 0 Vote: I do not like it

Try this book Naruto, http://www.mateinfo.net/_files/downloads/tomescu.pdf It's old but gold, even diamond-ed.

→ Reply