(Abstract Algebra 1) Definition of a Group

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  • เผยแพร่เมื่อ 15 ธ.ค. 2024

ความคิดเห็น • 61

  • @pulkitrustagi6904
    @pulkitrustagi6904 3 ปีที่แล้ว +53

    Can we just take a moment to appreciate the fact that this course is accessible to all, completely free and easy to understand!

  • @sachinramsuran7372
    @sachinramsuran7372 6 ปีที่แล้ว +15

    The approach you took at the beginning of the explanation is what made this video different from all others. Sometimes persons start with the abstract and then lead to the examples by which time the viewer is completely confused. However, you took the difference approach and i understood perfectly. Thank you.

  • @DeepakVerma-ec1fg
    @DeepakVerma-ec1fg 2 ปีที่แล้ว +4

    The way the topic has been explained, the approach, is great. You made it so easy to understand. Appreciable.

  • @sartajmuzafer9636
    @sartajmuzafer9636 3 ปีที่แล้ว +3

    Wonderful.... Video helped me a lot in understanding the topic....
    Thank you sir... For...providing Sach a easy way to understood these tough topics of math's ....

  • @simoofficial6092
    @simoofficial6092 3 หลายเดือนก่อน

    Thank you very much for this! I am in my first week of Linear Algebra in college and this was very helpful.

  • @jpdemont
    @jpdemont 7 ปีที่แล้ว +2

    Excellent series. Thank you. And thank you especially for noting that many authors and mathematicians are sloppy with their notion when they fail to include the binary operator in the group name or definition. That confused me for so long.

    • @learnifyable
      @learnifyable  7 ปีที่แล้ว +1

      Thank you for the kind words!

  • @viktable5955
    @viktable5955 4 ปีที่แล้ว

    @learnifyable I think lack of a/0 doesn't disuqallify that from being a group, there is just an exception.

  • @chowdhury1987
    @chowdhury1987 10 ปีที่แล้ว +4

    Good 1,keep up the good work,short and succinct, and undoubtedly the best

    • @learnifyable
      @learnifyable  10 ปีที่แล้ว

      Thanks! I'm glad I could help.

    • @matthewboaten
      @matthewboaten 7 ปีที่แล้ว

      soo helpful thanks

  • @sihamrasheed2587
    @sihamrasheed2587 3 ปีที่แล้ว

    I have a question on 11:00 you said it's not a group because zero is part of the set but why is the first one considered a group if zero is also part of the set and zero doesn't have an inverse, so doesn't that mean it shoudn't be a group?

  • @nolbycayetano1959
    @nolbycayetano1959 7 ปีที่แล้ว

    Great video. Very helpful in helping me cement the definition of a group. Thank you!

  • @abdoulayebalde2139
    @abdoulayebalde2139 5 ปีที่แล้ว +1

    Can you make a video on lattice as soon as possible cuz O am having my exams soon and your video is gonna save my life

  • @Angel-VTek
    @Angel-VTek 4 ปีที่แล้ว +1

    What about:
    a,b elements of N.
    a*b= a^b
    Is that a group????

  • @morganthem
    @morganthem 7 ปีที่แล้ว +1

    This is so succinct and easy to learn from

    • @gretawilliams8799
      @gretawilliams8799 6 ปีที่แล้ว

      david bouy
      Fuck off then.

    • @gretawilliams8799
      @gretawilliams8799 6 ปีที่แล้ว

      Watch MorgueOfficial
      Watch Anonymous Official
      Wake up you Mass

  • @davidfisher2359
    @davidfisher2359 2 ปีที่แล้ว

    Superb!!

  • @ohemengstephen5890
    @ohemengstephen5890 3 ปีที่แล้ว +2

    THANK YOU VERY MUCH. But i think IS A GROUP. At times the inverse of an element can be the element itself mostly from the cayley's table
    But if am wrong you can help me too

    • @TheOiseau
      @TheOiseau 2 ปีที่แล้ว

      is a group but you have to exclude 0 from the set.

  • @antusarkar5112
    @antusarkar5112 3 ปีที่แล้ว +1

    Subscribed!!!!!!

  • @dhananjaysahani4470
    @dhananjaysahani4470 6 ปีที่แล้ว

    Thank u very much sir.
    I understood each nd every concept through ur video

  • @rhysmc2608
    @rhysmc2608 6 ปีที่แล้ว

    Wow man, you're pretty much just as good as khan academy, damn

  • @muhammadzamsyari7367
    @muhammadzamsyari7367 3 ปีที่แล้ว +1

    tq tq tq tq tq tq so much

  • @dm3248
    @dm3248 8 ปีที่แล้ว +1

    very helpful keep up the good work...!!

  • @ziaurrehmanrehman9924
    @ziaurrehmanrehman9924 4 ปีที่แล้ว

    Sir z(i) what type of element in this group

  • @cnuga
    @cnuga 4 ปีที่แล้ว

    Very lucid. Thanks

  • @vherniddeealbano5621
    @vherniddeealbano5621 2 ปีที่แล้ว

    You save my life 💓

  • @patrickcrosby3824
    @patrickcrosby3824 6 ปีที่แล้ว +2

    Can't get any clearer than this :)

  • @mohamudkediye9623
    @mohamudkediye9623 9 ปีที่แล้ว +3

    this reals helped me...
    thank you

    • @learnifyable
      @learnifyable  9 ปีที่แล้ว

      +mohamud kediye No problem! :)

  • @huanshengwang
    @huanshengwang 6 ปีที่แล้ว

    In the Math history, the real number with operation + and operation * came first, or the Group theory came first?? just curious! Thanks!

  • @carldavegultia8440
    @carldavegultia8440 2 ปีที่แล้ว

    Thank u sir. I finally understand.

  • @Ak47ArtillerySquad
    @Ak47ArtillerySquad 7 ปีที่แล้ว

    cset subtest 1 prep videos? please:))))

  • @keerthigag3821
    @keerthigag3821 7 ปีที่แล้ว

    Nice. easy to understand, thank you so much

  • @Leonardo-oy3cx
    @Leonardo-oy3cx 4 ปีที่แล้ว

    Does this mean that when we consider a group of the set of rational numbers we consider subsets as well? In the example rational numbers under addition: if we add (1/2 + 1/2) we get an integer. Is it correct to say that the set of integers is a subset of the rational numbers therefore it does not violate closure under addition?

  • @andersonmutemererwa5994
    @andersonmutemererwa5994 6 ปีที่แล้ว +1

    Good stuff.

  • @valeriereid2337
    @valeriereid2337 2 หลายเดือนก่อน

    Thank you.

  • @christinavo7142
    @christinavo7142 3 ปีที่แล้ว

    This was soooo helpful wow

  • @Will-Ch
    @Will-Ch ปีที่แล้ว

    what book do you use teacher , please

    • @learnifyable
      @learnifyable  ปีที่แล้ว +1

      I recommend:
      A First Course in Abstract Algebra by Fraleigh
      Algebra Pure & Applied by Papantonopoulou
      A Book of Abstract Algebra by Pinter

    • @Will-Ch
      @Will-Ch ปีที่แล้ว

      @@learnifyable thanks

  • @jocsanmairena4222
    @jocsanmairena4222 8 ปีที่แล้ว

    Great explication.

  • @rochellealonzo8519
    @rochellealonzo8519 3 ปีที่แล้ว

    Thank you sir

  • @ankitawaghmare4640
    @ankitawaghmare4640 6 ปีที่แล้ว

    that really helped. thank you so much.

  • @jessicaibaliguat9377
    @jessicaibaliguat9377 9 ปีที่แล้ว

    thank you so much.. this is a great help for me.

  • @mohamedabdikadir4283
    @mohamedabdikadir4283 7 ปีที่แล้ว

    thank you so much u have help me a lot

  • @anis786
    @anis786 5 ปีที่แล้ว

    Amazing

  • @MrDareDevil102
    @MrDareDevil102 8 ปีที่แล้ว

    Thanks

  • @dr.upasanapahujataneja1707
    @dr.upasanapahujataneja1707 4 ปีที่แล้ว

    Very Nice #drupasanapahujataneja

  • @guidofeliz8384
    @guidofeliz8384 5 ปีที่แล้ว +2

    I love math but honestly, I am not interested in abstract algebra. This is truly bizarre.

    • @kenmeyer100
      @kenmeyer100 ปีที่แล้ว

      bizarre? think about a civilization that doesn't know abstract algebra. Would throw us back technologically into the early twentieth century, I would guess

    • @guidofeliz8384
      @guidofeliz8384 ปีที่แล้ว

      @@kenmeyer100 :
      I am not talking about regular algebra as in algebra 1 and 2 or college algebra or precalculus, etc. I am talking about a course called abstract algebra usually taught in graduate school.

    • @standowner6979
      @standowner6979 ปีที่แล้ว

      @@guidofeliz8384 abstract algebra is usually taught in the first two years of undergraduate maths education

    • @girlsinacoma
      @girlsinacoma ปีที่แล้ว

      It’s very meta

    • @guidofeliz8384
      @guidofeliz8384 ปีที่แล้ว

      @@girlsinacoma :
      1. I made that comment 4 years ago.
      2. What is meta?

  • @wad814
    @wad814 3 ปีที่แล้ว

    my quiz will start after 1 hour.. wish me luck

  • @blitzkrieg9247
    @blitzkrieg9247 2 ปีที่แล้ว

    commenting for algo lol ik im late

  • @leaderdc7043
    @leaderdc7043 8 ปีที่แล้ว +1

    thanks