How to get better at Combinatorics for Math competitions and the International Math Olympiad?

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  • Опубліковано 27 січ 2025

КОМЕНТАРІ • 30

  • @ShefsofProblemSolving
    @ShefsofProblemSolving  3 роки тому +19

    Book Recs:
    - Arthur Engel - Problem Solving Strategies
    - Pranav Sriram Olympiad Combinatorics: cdn.bc-pf.org/resources/math/combinatorics/Pranav_Sriram-Olympiad_Combinatorics.pdf
    Topics:
    - Extremal Principle
    - Algorithms
    - Invariance
    - Games
    - Counting in Two Different Ways
    - Graph Theory
    - Coloring Proofs
    - The Box/Pigeonhole Principle
    - Induction
    Competitions:
    Tournament of Towns:
    -- artofproblemsolving.com/community/c3239_tournament_of_towns
    -- www.math.toronto.edu/oz/turgor/archives.php
    EGMO:
    -- artofproblemsolving.com/community/c3246_egmo
    JBMO:
    -- artofproblemsolving.com/community/c3227_junior_balkan_mo
    Romania:
    -- artofproblemsolving.com/community/c3194_romania_contests
    ELMO:
    -- artofproblemsolving.com/community/c3429_elmo_problems
    Russia:
    -- artofproblemsolving.com/community/c3195_russia_contests
    Let me know if there's something I missed!

  • @invincible9240
    @invincible9240 3 роки тому +13

    Amazing initiative ,please continue this series

  • @mrlegend3983
    @mrlegend3983 2 роки тому

    Thanks for the initiative

  • @emmanuellaeledu
    @emmanuellaeledu Рік тому

    Thank you so very much, Sir!

  • @maxicambo4017
    @maxicambo4017 3 роки тому +10

    Please also algebra💪 Love this “series”

    • @ShefsofProblemSolving
      @ShefsofProblemSolving  3 роки тому +5

      So algebra is the one I haven't filmed thus far because I haven't figured out how to structure it yet.
      There are functional equations, sequences, inequalities. Those are the well known. Now it's hard for me to recommend books because I've never come across an algebra book and I learned it mostly through problems and handouts.
      Anyways, difficult to structure, if you have any ideas let me know, but right now I'm in the thinking process.

    • @maxicambo4017
      @maxicambo4017 3 роки тому +1

      @@ShefsofProblemSolving yeah exactly, algebra is the only one you dont have books and stuff for. Also which handouts did you use? Thanks in advance
      And also what is your favorite subject considering NT, algebra, geo, combo

    • @ShefsofProblemSolving
      @ShefsofProblemSolving  3 роки тому +2

      @@maxicambo4017 Honestly forgot most of the handouts and they are in my native language, so it's not useful to share those.
      I'll look into this and see if I can come up with some handouts.
      Difficult to say! I really liked Geo, because adding a point sometimes and solving a problem is beautiful. Combinatorics is wider and more mysterious and I guess that's why I'd choose that as my favorite.

    • @maxicambo4017
      @maxicambo4017 3 роки тому

      @@ShefsofProblemSolving thanks for information! Yeah mine is combo as well

    • @shauryabhardwaj9643
      @shauryabhardwaj9643 3 роки тому +2

      @@ShefsofProblemSolving Please look into Inequalities by B.J. Venkatachala and Functional Equations by B.J. Venkatachala...2 really great books...

  • @farhannr28
    @farhannr28 3 роки тому +6

    Now how to get better at geometry?

    • @Miguel-xd7xp
      @Miguel-xd7xp 3 роки тому +6

      Pray to Evan Chen, jokes asides EGMO (euclidean geometry in math olympiad) is like the best book currently for geometry imo :)

    • @ShefsofProblemSolving
      @ShefsofProblemSolving  3 роки тому +12

      @@Miguel-xd7xp Praying to Evan Chen isn't an option I would write off too quickly...
      Video coming out Sunday!

  • @drozfarnyline4940
    @drozfarnyline4940 2 роки тому +9

    Hi
    Can you please give me the source of the quote about Mathematical Induction.
    I really love it.I have been doing induction since last week and suddenly induction makes a lot sense to me
    Thanks in advance

    • @ShefsofProblemSolving
      @ShefsofProblemSolving  2 роки тому +4

      Thank you for the kind words! Actually I don't have a source it's just something my coach used to say in lectures on induction

  • @someperson9052
    @someperson9052 3 роки тому +5

    You kind of sound like Stephan Hawkins' computer voice

    • @ShefsofProblemSolving
      @ShefsofProblemSolving  3 роки тому +3

      HAHA This made me chuckle ... I've never been told that, thank you for making my morning :D

  • @MonicaSutera-j4k
    @MonicaSutera-j4k 4 місяці тому

    Padberg Ways

  • @ayoubabid8783
    @ayoubabid8783 3 роки тому +2

    Hi good,

  • @hehehehehehehehehehehe8731
    @hehehehehehehehehehehe8731 Рік тому +2

    stopped listening after hearing i need to solve problems lmao (jk jk)

  • @nikakutaladze5544
    @nikakutaladze5544 Рік тому

    Why don't you write proofs clearly?
    I know you are a great mathematician with undoubtedly impressive problem solving skills, but if you do not write these proofs down, what'd you think how we will ever comprehend what you tell us about. Also, considering that you do not have many views on UA-cam, maybe you should change the way you teach us, not just nonstop talking. Micheal Penn is definitely no less great mind than you and even better, he's a professor, his proofs are very creative to understand