Real Analysis | Bolzano Weierstrass Theorem | Proof

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  • เผยแพร่เมื่อ 8 พ.ย. 2024

ความคิดเห็น • 179

  • @gyanarjanam5242
    @gyanarjanam5242 2 ปีที่แล้ว +3

    Kitne asani se samja diya sir thank you for your teaching

  • @kuldeepsingh-mz7nb
    @kuldeepsingh-mz7nb 4 ปีที่แล้ว +18

    Thanks. Sir.. plz provide more on real Analysis

  • @Preetisharma-24
    @Preetisharma-24 2 ปีที่แล้ว +39

    This theorem was a headache for me, thank you so much for making it easier to get ❤️god bless you❤️.

  • @convergentradius
    @convergentradius 5 หลายเดือนก่อน

    Sir, I have alternate proof of Balzeno-Weirstrass Theorem
    Pf:
    Let S be an infinite bounded set in R.
    Hence, there exist l, u in R such that l

  • @pumuemj3201
    @pumuemj3201 2 ปีที่แล้ว +5

    Tnk you so much sir for explaining with diagram..it has proven to be very effective for me to understand in just few seconds...🙏🙏🙏❤️❤️

  • @harshruhela7321
    @harshruhela7321 4 ปีที่แล้ว +5

    Sir please tell a book for studying Vector Calculus for IIT Jam.

  • @namraksubba5833
    @namraksubba5833 3 ปีที่แล้ว +7

    Sir. 🙏 Thankful for the course.
    Beautifully presented.
    Arigatoo gosaimazu
    Respect 💯

  • @soumya3807
    @soumya3807 ปีที่แล้ว +1

    Thank-you sir for make it easier. 😊

  • @pawanswami2500
    @pawanswami2500 3 ปีที่แล้ว +24

    Approach is right but wrongly explained....to remember this theorem this approach is okay but if any student in undergraduate or post graduate courses write this proof,it will fetch him or her zero marks in the examination....it seems these rubbish lines are written without any logical background....you have just written these lines on seeing the diagram which doesn't even represent your defined set 'T'....you should back your next statement with the earlier one or any mathematical statement , don't just write like "we know right side of 'l' ,there are infinite members of S."......provide some mathematical backing ....

    • @abhishek1011332805
      @abhishek1011332805 4 หลายเดือนก่อน +4

      Tu explain kar de phir TH-cam par video bana kar. Gyan pelna bahut aasan hai, gyan dena bahut mushkil

    • @Afjncs
      @Afjncs 3 หลายเดือนก่อน +1

      I think same @pawanswami

  • @abubaqaransari1029
    @abubaqaransari1029 2 ปีที่แล้ว

    Aap brilliant teacher hai

  • @anitabhilawekar5272
    @anitabhilawekar5272 2 ปีที่แล้ว +1

    Sir your video help me for every difficult situation so thank you sir for clearing all doubt

  • @priyacheriyan5449
    @priyacheriyan5449 4 ปีที่แล้ว +4

    Thank u sir for this video. Expecting more real analysis videos.

  • @mohanbhattrai2752
    @mohanbhattrai2752 2 ปีที่แล้ว

    You are the god of mathematics.i salute you sir.

  • @bharatbarad2924
    @bharatbarad2924 4 ปีที่แล้ว +5

    sir, please discuss the sum of an open set and closed set .request to you.🙏

  • @Sachin-np1jc
    @Sachin-np1jc ปีที่แล้ว

    Before watching this video I couldn't able to understand this theorem even if reading it 5 times but after watching this video I feel this theorem is super easy.

  • @sabihasmoments8107
    @sabihasmoments8107 2 ปีที่แล้ว

    I just realised that our real analysis course teacher also follow ur videos and teaching us.

  • @emranhossain5344
    @emranhossain5344 4 ปีที่แล้ว +12

    Thank you sir.
    Sir please continue this real analysis series & also please continue the linear algebra series.
    Your last video of linear algebra series is diagonalization process of Matrix, So I am requesting you please continue that series too.
    Thanks once again.

  • @AnujKumar-cf7ym
    @AnujKumar-cf7ym 3 ปีที่แล้ว

    Bhaut achha se samjhya diye Sir ab kuchh dimag kamm kar raha hai Sir ji thanks a lot sir🙏

  • @mandiumesh1070
    @mandiumesh1070 4 ปีที่แล้ว +3

    Sir pls upload ‘‘Darboux theorem & Rolle’s theorem’’

  • @mandiumesh1070
    @mandiumesh1070 4 ปีที่แล้ว +2

    Sir please upload series,sequence, limit, continuity, differentiation.etc

  • @rafdhxdz4870
    @rafdhxdz4870 ปีที่แล้ว

    Sir, please aap metric space par aur video uploaded kar dijiye . sir,aap bahut achha explain karte hai aapka explanation hm logo ke liye bhut helpfull hain

  • @rajamouli6437
    @rajamouli6437 ปีที่แล้ว

    Nice Teaching with simple terminology

  • @shankarsinghbarnel91
    @shankarsinghbarnel91 2 ปีที่แล้ว +1

    Sir plz thodi se hindi bhi use kre bcoz more then 50% who watched your video are from Hindi medium 🤗🤗🤗
    We love you sir ❤️❤️❤️

  • @namraksubba5833
    @namraksubba5833 3 ปีที่แล้ว +2

    Looking forward for other courses too

  • @ayshaearam9528
    @ayshaearam9528 3 ปีที่แล้ว +4

    Thank you sooo much sir it is very useful to understand....❤️❤️❤️❤️❤️i can't forget it again....ur ways of explaination with giving examples are awesome 😍😍😍😍😍

  • @YADAV-us8hg
    @YADAV-us8hg 4 ปีที่แล้ว +1

    Bhut useful real analysis h sir

  • @vipfirestudio1159
    @vipfirestudio1159 4 ปีที่แล้ว +3

    1. A super computer manufacturing company produces four models. The matrix A shows the cost per computer (in thousand dollars) and B the production figure for an year(in multiples of 1000 units) . Find a matrix C that shows the shareholders the cost per quarter for raw material, labour, and miscellaneous. What are the units of the elements of the matrix C?

    Model 1 Model 2 Model 3 Model 4
    1.2 1.6 0.8 3.4 Row-components
    A = 1.1 1.9 1.3 2.8 Labour
    1.3 1.8 2.1 3.2 Miscellaneous
    Quarter
    1 2 3 4
    3 8 6 9 Model 1
    B = 6 2 4 3 Model 2
    4 5 7 8 Model 3
    5 7 6 9 Model 4

  • @Satyajit_Parida.
    @Satyajit_Parida. 4 ปีที่แล้ว +1

    Sir please make video on quadrature please which is not avilable in your channel🙏🙏🙏

  • @shakunthalas5491
    @shakunthalas5491 3 ปีที่แล้ว

    Your teaching is very interested sir never bored

  • @akshitkumar3799
    @akshitkumar3799 3 ปีที่แล้ว

    Thanks sir, bahut acha lga padh ke bahut hi easily apne explain kiya tq sir 👌👌

  • @benyjim.g9995
    @benyjim.g9995 ปีที่แล้ว +2

    Sir state and prove ke liye yahi ans.. Hoga

  • @parambeer815
    @parambeer815 ปีที่แล้ว +1

    Tq soo much sir 💞💞💞

  • @tikamrathore5393
    @tikamrathore5393 4 ปีที่แล้ว +1

    Many many thanks sir ji

  • @muneshjangir5687
    @muneshjangir5687 2 ปีที่แล้ว +1

    Aap to kamal ke ho sir

  • @worldtv369
    @worldtv369 2 ปีที่แล้ว

    Sir, What is Bounded above set ??
    What is Supremum and Infimum ??

  • @RJShort007x
    @RJShort007x 3 ปีที่แล้ว +1

    Sir, is figure important in the exam? Or only for explanation.

  • @fooditems9839
    @fooditems9839 3 ปีที่แล้ว

    Your way of teaching is very unique sir . thank you so much

    • @asanjoosingh7627
      @asanjoosingh7627 3 ปีที่แล้ว

      Ma'am are you also preparing for any competative exam ?

  • @yushmmgamer6867
    @yushmmgamer6867 2 ปีที่แล้ว

    Sir,
    l point ko chhod ke koi aur limit point exist krega tab to BWP satisfy hogi na?

  • @SushmitaKashyap-zj2ob
    @SushmitaKashyap-zj2ob ปีที่แล้ว

    Thank you so.... Much sir for this vedio 🙏🙏😊🤗

  • @manjujatt8540
    @manjujatt8540 2 ปีที่แล้ว

    Nice teaching method

  • @SIGMACRACKER
    @SIGMACRACKER ปีที่แล้ว

    THANK YOU SIR

  • @bijjargimangesh5110
    @bijjargimangesh5110 3 หลายเดือนก่อน

    very helpful video

  • @BeenuYadav-n3x
    @BeenuYadav-n3x ปีที่แล้ว +1

    Thank you so much sir…🤗
    Your videos are so helpful☺️
    And thank you so much for providing such content for free 🙏🏻😌

  • @nitiros
    @nitiros 2 ปีที่แล้ว

    Thank you

  • @syedfayazahmad2370
    @syedfayazahmad2370 3 ปีที่แล้ว +1

    SIR very great....

  • @vijaysinghrawat6350
    @vijaysinghrawat6350 ปีที่แล้ว

    Sir but set T mai jo S set ke elements contain krenge vo to left side mai honge na to left side ko leke chalna chahiye na

  • @gulnawaz205
    @gulnawaz205 3 ปีที่แล้ว

    Sir bhoot khoob .. achi smj aii ha

  • @sakshidobhal339
    @sakshidobhal339 4 ปีที่แล้ว

    Thankyou very much sir ji🙏🙏🌹🌹🤗🤗

  • @Rakeshkumar-jf4ty
    @Rakeshkumar-jf4ty 2 ปีที่แล้ว +1

    Very nice sir 🙏 🙏 🙏

  • @debayanroy2387
    @debayanroy2387 ปีที่แล้ว

    What is Bounded set sir??

  • @anshikatiwari1889
    @anshikatiwari1889 4 ปีที่แล้ว +1

    Thanks a lot sir 🙏

  • @shraddhamishra4175
    @shraddhamishra4175 4 ปีที่แล้ว +1

    rank of matrix ka aapka video dekh chuke... kafi aasan shabdo me smjhate h

  • @rideepchoudhury4407
    @rideepchoudhury4407 ปีที่แล้ว

    Thank you for this helpful content sir ❤

  • @KiskuRaj5656
    @KiskuRaj5656 3 ปีที่แล้ว

    Thanks

  • @syedfayazahmad2370
    @syedfayazahmad2370 3 ปีที่แล้ว

    Thank You SIR 🙏🙏🙏🙏🙏🙏

  • @ritikrawat7514
    @ritikrawat7514 ปีที่แล้ว

    sir i think its the left side of L which will be in the intersection of S and T having infinitely many numbers
    ? is it so

  • @abubaqaransari1029
    @abubaqaransari1029 2 ปีที่แล้ว +1

    Sir i request please make video on cantor set and cantor Lebesgue function phi on [0,1]

  • @pankajsahu9485
    @pankajsahu9485 4 ปีที่แล้ว +1

    Sir schwarz's theorem ke examples ka video banao please

  • @mirxara1407
    @mirxara1407 2 ปีที่แล้ว

    Thanks sir .. very nice video.......

  • @shekharambastha9488
    @shekharambastha9488 4 ปีที่แล้ว

    Thanks sir. It was really very very helpful for me

  • @Saqiji
    @Saqiji 4 ปีที่แล้ว

    Sir u r genius

  • @zeeshanshaquib8289
    @zeeshanshaquib8289 3 ปีที่แล้ว

    You are great sir

  • @Balliawallah549
    @Balliawallah549 3 ปีที่แล้ว

    Thanks sir 💐
    Best video 👍

  • @sumitkashyap5469
    @sumitkashyap5469 4 ปีที่แล้ว

    Very very Thanks sir

  • @zainabihsan8731
    @zainabihsan8731 3 ปีที่แล้ว

    awosome ,,,,,,thanks sir ...plz provide more vedios on real analysis

  • @sonika5972
    @sonika5972 2 ปีที่แล้ว

    Thankyou so much sir...

  • @yashgakre9779
    @yashgakre9779 2 ปีที่แล้ว

    Sir please boolean function ke lectures pr video banayena please bsc 3rd year

  • @sabyasachighosh8237
    @sabyasachighosh8237 4 ปีที่แล้ว

    Sir your recently published csir net book lacks proper clarification.results are given straightforward .

  • @SandeepKumar-zn6vf
    @SandeepKumar-zn6vf 4 ปีที่แล้ว

    Sir plz make a playlist on sampling distribution chi squre test, t test, f test ,z test..xams are nearby..plz sir

  • @prajubhagat6098
    @prajubhagat6098 3 ปีที่แล้ว

    Nice explanation sir. real analysis ke questions kab krvavoge

  • @hareemkhalid5971
    @hareemkhalid5971 4 ปีที่แล้ว

    Respected sir kindly pointwise and uniform convergence Ka concept smjha dyn

  • @mathsloversjn3453
    @mathsloversjn3453 3 ปีที่แล้ว

    Great explain sir

  • @ishtiyakansari4124
    @ishtiyakansari4124 4 ปีที่แล้ว

    Very helpful sir

  • @karnelsingh6990
    @karnelsingh6990 ปีที่แล้ว

    Superb sir 😊❤️

  • @priyankaverma2855
    @priyankaverma2855 3 ปีที่แล้ว

    Real analysis book b krvana sir plz...

  • @aditipathak5622
    @aditipathak5622 2 ปีที่แล้ว

    thank you so much sir
    sir i serious need one help in learning basic calculus and also l hospital rule , sir humko pata hai aap kaafi busy rehte hai par humko aapko chod kar kiska kuch smaj hi nhi aata 25 feb ko exam hai sir plz help kar degeye or video bana digeye ye topics ke upar bhi

  • @shraddhamishra4175
    @shraddhamishra4175 4 ปีที่แล้ว

    sir. I study in class b. sc. 2nd year....aur jaha hum rahete h waha pe koi coaching class nhi chalta aur government college me apne trike se pdhate h utna smjh nhi aata so sir b. sc. 2nd year ka math complete krwa dijiye

  • @sumansamanta4741
    @sumansamanta4741 4 ปีที่แล้ว

    Sir, please provide that notes, played on the screen .... It may be helpful to us....Thanks sir....

  • @hello-fb3wn
    @hello-fb3wn 3 ปีที่แล้ว

    Sir would you prefer me to buy the book ...for IIT jam entrance?

  • @harkeshmourya655
    @harkeshmourya655 3 ปีที่แล้ว

    Mouj kr diiii 😁😜

  • @amishalimbani5581
    @amishalimbani5581 4 ปีที่แล้ว

    Thank you sir pls makeing the vedio for existence of nth roots of positive real numbers

  • @umeshwarnath7798
    @umeshwarnath7798 4 ปีที่แล้ว

    Thanku sir . please suggest some books for MA gate.

  • @udaypratapsingh14
    @udaypratapsingh14 2 ปีที่แล้ว

    Thnx sir

  • @AsifKhan-ei3gi
    @AsifKhan-ei3gi 4 ปีที่แล้ว

    Great sir g

  • @johnsonlalrohlua3453
    @johnsonlalrohlua3453 3 ปีที่แล้ว

    Sir does every infinite bounded set converges?

  • @bhartgoyal1203
    @bhartgoyal1203 4 ปีที่แล้ว

    Very informative video

  • @highermathematics-bx4mi
    @highermathematics-bx4mi 3 ปีที่แล้ว

    Sir thanks ap plz Dennis theorem ki kia conditions han or real analysis my Dennis theorem kia ha or is ki example bi

  • @guriyasharma3918
    @guriyasharma3918 4 ปีที่แล้ว +1

    Thanks sir 🙏🙏🙏 apke video's se hume kaphi help mil rha sir aap bahut achha prahate ho👍👍 sir iit jam 2021 ke liye achhe se tayari kaise kare uspe ek video bnaye sir plzzzzzzz 🙏🙏🙏🙏🙏 jisse hum apna exam achhe se clear kar sake thanks a lot ❤️❤️❤️❤️❤️

  • @vijaychaurasiya5111
    @vijaychaurasiya5111 4 ปีที่แล้ว

    Thanks sir

  • @sunderpal7358
    @sunderpal7358 3 ปีที่แล้ว

    Balzano weierstrass theorem very nice

  • @fashioncenter1958
    @fashioncenter1958 4 ปีที่แล้ว

    Sir plzz real analysis pa zada sy zada videos upload kry

  • @longchesongthing4159
    @longchesongthing4159 4 ปีที่แล้ว

    Thanks Sir 🙏👍

  • @sitalgarg4842
    @sitalgarg4842 4 ปีที่แล้ว

    Thank u so much sir

  • @ZeeshanHaider-jo9xn
    @ZeeshanHaider-jo9xn 2 ปีที่แล้ว

    sir ek infinite set bounded kesy hoga?

  • @jitendrarajpoot6657
    @jitendrarajpoot6657 3 ปีที่แล้ว

    Nice sir tqs

  • @nidhiupadhyay4607
    @nidhiupadhyay4607 3 ปีที่แล้ว

    As usual Ossm explanation❤️🙏

  • @neerajprajapati8221
    @neerajprajapati8221 4 ปีที่แล้ว

    Sir civil services mathematics question ka example bhi bataye as like Groups example bataye hai plz sir.(upsc math option paper question).

  • @shaily..
    @shaily.. 3 ปีที่แล้ว +1

    Sir supremum infimum topics In detail plzz

  • @archanabharati1894
    @archanabharati1894 4 ปีที่แล้ว

    Sir inverse function function prove kar digiye

  • @EnglishwithAjayraj
    @EnglishwithAjayraj 2 ปีที่แล้ว +1

    To be honest, mujhe toh kuch smjh nhi aaya
    Ya toh mere pass topic ko samjhne k liye "pre-required knowledge nhi hai ya phir sir kuch jaldbazi m pdhaye ja rhe hain"