Upper Bounds, Lower Bounds, Supremum, Infimum, Bounded and Unbounded Set| Real Analysis Topology-1

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  • Опубликовано: 3 дек 2024

Комментарии • 1,1 тыс.

  • @mewarrajclasses7815
    @mewarrajclasses7815 Год назад +14

    आपकी आवाज़ और समझाने का तरीका बहुत ही अद्भुत, अविश्वसनीय, अकल्पनीय है 🙏🏻🤩

  • @udaya106
    @udaya106 Год назад +18

    Actualy our teachers teaches us in such a way that they don't tell us the complete information and just confuse us..❤❤

  • @ankitmishra697
    @ankitmishra697 2 года назад +61

    No words to describe your teaching style sir 🤗.

  • @Md_Saif1911
    @Md_Saif1911 4 года назад +230

    My professor should learn teaching from you

    • @ubaid5029
      @ubaid5029 Год назад +2

      I think bro u r studying in AMU OR JAMIA

    • @fatimakhan2778
      @fatimakhan2778 Год назад +1

      😂

    • @Bantuka47
      @Bantuka47 Год назад +3

      I am lnmiit a great institute but still the professors are not great as you

    • @Shahanbaz
      @Shahanbaz Год назад

      ​@@ubaid5029i am currently studying in AMU and here the professor are best 👍

    • @Totrekk
      @Totrekk Год назад

      My professor also

  • @rudrakshkansal92
    @rudrakshkansal92 4 года назад +255

    Literally no words for such awesome video

    • @MathsUnlock
      @MathsUnlock 3 года назад +3

      Ex3 mai 8,1 toh set se belong krte hai na ...toh does not belong kyo likha hai ???
      Plz help

    • @ankitkumardip90
      @ankitkumardip90 3 года назад +3

      @@MathsUnlock Nahi 8 and 1 doesn't belongs because it is open interval

    • @stayupdate_
      @stayupdate_ 3 года назад +3

      @@MathsUnlock small bracket mtlb not included

    • @bikramkesharibehera3987
      @bikramkesharibehera3987 3 года назад

      Right

    • @furqaanabdul5979
      @furqaanabdul5979 3 года назад

      Really ?

  • @shanu9837
    @shanu9837 2 года назад +23

    Sir your teaching style is so fantastic. it's easy to understand a concept by your lecture. Keep uploading such lectures as they are enhancing our knowledge and making us able to understand maths easily.
    Thank you so much sir 🙏
    Jai Hind Jai Bharat 🇮🇳🇮🇳🇮🇳

  • @mashooquekhan6401
    @mashooquekhan6401 4 года назад +64

    Thank you sir🙏 I am facing many difficulties to understand bounded, unbounded and supremum and infimum
    Your explanation is too easy sir👍🏾

    • @sreevidyaps3728
      @sreevidyaps3728 3 года назад +2

      i too was

    • @datix2666
      @datix2666 2 года назад +1

      @@sreevidyaps3728 I too was →I was too.

    • @sreevidyaps3728
      @sreevidyaps3728 2 года назад

      @@datix2666 the +1 year old me can do better, 😅 anyways thanks 🌹

    • @8utopia
      @8utopia Год назад

      @@datix2666 no she is right , I too think that

  • @pushpendrakumar-sm3ye
    @pushpendrakumar-sm3ye 2 года назад +1

    You are one of the Best mathematician...Who explain very complex topics in easy and simple way

  • @mirazulislam3583
    @mirazulislam3583 4 года назад +10

    Wow....
    I am your big fan from Bangladesh..
    Plz continue to make Real analysis video

    • @pravindrakumar4399
      @pravindrakumar4399 4 года назад

      ruclips.net/p/PLy77g6xjZZrRXQRhHoWr5Mk751TjdAW7e
      Real Analysis in a simple way ,very interesting concepts.

  • @meghawankhade6635
    @meghawankhade6635 3 года назад +33

    I am one of your subscriber from long time...sir Your way of teaching is so nice... Tysm for such awesome video😊

  • @AyushMishra-qx4uc
    @AyushMishra-qx4uc 2 года назад +4

    I saw a masterpiece in form of yourself. Sir aap gajrndra purohit jaise master ko bhi jante honge aap unse bhi axxa or bahut deatail analysis krte h topic ki . Sir i subscribed you at ones as i see se this detailed analysis of real analysis .
    Thank you sir

  • @fizarazzaq5379
    @fizarazzaq5379 2 года назад +2

    Bht acha samjhaty hy sir ap zabardast samajh ata hy ap ki videos say.. Thank you sir!

  • @sachinrathodb8850
    @sachinrathodb8850 4 года назад +27

    Sir i am very glad that you started REAL ANALYSIS and I was waiting with most curiosity sir thank you very much Sir .

  • @stayupdate_
    @stayupdate_ 3 года назад +3

    aaj tak you tube pe 1000 video dekhe lekin aap ke jaisa nhi🙏 kya samjhaye hai sir

  • @topicwisesolutions7386
    @topicwisesolutions7386 2 года назад +3

    What a unique way of teaching i can not imagine online class is also so comprehensible❣️🥰🙏

  • @deepikagarg204
    @deepikagarg204 3 года назад +1

    Your way of teaching is highly commendable.

  • @bhaktisinghal5097
    @bhaktisinghal5097 3 года назад +9

    Awesome lecture 👍
    The way of teaching is Excellent 🤗.
    Everything become easy after listening your lecture.

  • @abhinandanjain2399
    @abhinandanjain2399 Год назад +1

    Thank you so much ignited minds sir bahut hi jyada शानदार video hai ye maza aa gya aapne kitni mehnat se ye video banaya. Sab kuch behtreen dhang se explain kiya. Gazab video hai ye infimum, supremum, lower bound, upper bound etc. Bahut hi jyda shaandaar dhang se samjhaya hai aapne aapko dil se thank you so much. Main aapke is video lecture ka आभारी हूँ.

  • @praveenkumarbrathod7299
    @praveenkumarbrathod7299 4 года назад +6

    Sir I am very delighted and thankful that you started Real Analysis and such a great explanation sir really good, and i hope sir that rather than giving notes please cover almost all topics through your classes and complete the chapter it's my request

    • @pravindrakumar4399
      @pravindrakumar4399 4 года назад

      ruclips.net/p/PLy77g6xjZZrRXQRhHoWr5Mk751TjdAW7e
      Real Analysis in a simple way by an iitian

  • @dhananjaypratapsingh7718
    @dhananjaypratapsingh7718 2 года назад +1

    Yes sir we want such type of teacher who teach higher mathematics really awesome video

  • @abhishekguptaabhi854
    @abhishekguptaabhi854 4 года назад +5

    हेलो सर प्रणाम 🙏 । शानदार वीडियो आसानी से समझे में आ गया । धन्यवाद सर जी । सर इसी तरह पढ़ाते रहिए ताकि हम लोग आपसे ज्ञान और मदद ले सके ।🙏🙏

  • @gulhasnain-u2y
    @gulhasnain-u2y 11 месяцев назад +1

    After so many vedios on youtube for the topic ,,,, i got total clear concept from your vedio... thanks a lot sir ,..God bless you,

  • @lakshman933
    @lakshman933 4 года назад +6

    Iam very happy you started real analysis. Excellent explanation. I need same logical argument for measure theory

  • @madhaojoshi54
    @madhaojoshi54 3 года назад +2

    Excellent . Teaching is fluent and effective.
    Really great job.
    Thank You Sir

  • @shubham1vishwakarma
    @shubham1vishwakarma 4 года назад +5

    Teaching style is good... please complete real analysis..tnk u very much

  • @debottamghosh6253
    @debottamghosh6253 2 года назад +6

    1:01 Upper Bound, Supremum & Greatest Element
    13:05 Lower Bound, Infimum & Smallest Element
    21:25 Bounded & Unbounded Set
    24:50 Four more examples

    • @26divyarani40
      @26divyarani40 2 года назад

      Can you please tell this lecture is for which semester? I am in semester 2 and searching Real Number System Chapter. But I didn't understand whether this lecture is for me or not?

    • @debottamghosh6253
      @debottamghosh6253 2 года назад

      @@26divyarani40 I am from Calcutta University and this topic was in our 2nd semester. I don't know whether this is also in your syllabus or not.

    • @26divyarani40
      @26divyarani40 2 года назад

      @@debottamghosh6253 oo thanks

    • @SaniyaKhan-xs1wz
      @SaniyaKhan-xs1wz 2 года назад

      Ty

  • @Study_and_Motivation_
    @Study_and_Motivation_ 2 месяца назад +23

    Kon kon Sir ki Short video dekhkar aaya h😅

  • @Lalagurl85
    @Lalagurl85 3 месяца назад +2

    This video is mostly not english and I still understand it better than my professor.

  • @psaikiran9831
    @psaikiran9831 3 года назад +16

    15:04 Sir, It was said that 0 is upper bound of S, but it is lower bound of S

  • @ajsdbhdhshbdb
    @ajsdbhdhshbdb Год назад +1

    ❤❤❤your teaching is beautiful
    ur someone who genuinely loves teaching
    respect

  • @jasikaverma
    @jasikaverma 3 года назад +3

    Amazing video!!! The way you are helping us all without asking anything in return is commendable.

  • @kanikanegi1175
    @kanikanegi1175 5 месяцев назад +2

    Beautifully explained... All the concepts are amazingly linked to each other.. ❤

  • @amritkumar2381
    @amritkumar2381 4 года назад +4

    Awesome teaching.Hard work of sir can be seen in each and every video.

  • @thelife8477
    @thelife8477 3 года назад

    You are the teacher who deserve to be said as God!!!!!

  • @jigarbarot9886
    @jigarbarot9886 4 года назад +4

    Thank you so much for starting Real Analysis sir

  • @ayushimeena1536
    @ayushimeena1536 2 года назад +2

    Sir, your teaching way is amazing.

  • @Ankit-kumar...
    @Ankit-kumar... 2 года назад +7

    Your lecture makes concept easy to understand😀

  • @Hemant_Saini04
    @Hemant_Saini04 10 месяцев назад +1

    everything is clear by watching this video. Thanks you so much sir ...

  • @skrohit7655
    @skrohit7655 2 года назад +4

    This video is really very helpful for all the student. Thank you so much sir for making this type video for us 🙏🙏🙏

  • @shayan3903
    @shayan3903 3 месяца назад

    India kay teachers mne dekha hai youtube pr bhhhtt zabrdast smjhatay hain,,,

  • @jyotirmayshaw7402
    @jyotirmayshaw7402 Год назад +1

    Sir, you're as fabulous as your teaching style... 🙏🏻 Thank you very much from the bottom of my heart 🙏🏻🙏🏻🙏🏻

  • @isabellamary5144
    @isabellamary5144 4 года назад +6

    Thank u so much sir. I really say to u , it's very helpful to study about real analysis

  • @IamRosh2
    @IamRosh2 3 года назад +2

    Sir u r a special teacher who have to make understand us🥰

  • @cricket_world_7k
    @cricket_world_7k 4 года назад +4

    Hii this is prince pk from DDU University .Thanks a lot sir for starting Real analysis .But we also need some most important topic..like
    1. Abstract Algebra
    2. Linear Programming and Game theory
    3. Statics and dynamic
    Because i am b.sc 2nd year student , and lot of students need these topics.. please make videos on this topic , basic to graduation lavel ..
    Thanks a lot again.

  • @adityasahu7412
    @adityasahu7412 2 года назад +1

    Your way of teaching is awesome

  • @satabdidey6497
    @satabdidey6497 3 года назад +5

    Really sir your teaching methods are just awesome and the efforts you apply for our understanding is so much attractive which makes us more interested to watch your vedios, keep helping us and God bless😇😇😇

  • @mdnaushad3897
    @mdnaushad3897 3 года назад +1

    Bht acha laga sir apka video, apka ek ek baat samjh me aya. Thank you so much

  • @user-eq5wq9hv2f
    @user-eq5wq9hv2f 4 года назад +8

    I am very eager about your lectures on real analysis from a long time.....now it happens.....

  • @bibh947
    @bibh947 2 года назад +2

    Thank you sir for your support and efforts. Your lectures are very informative and clears strengthens concepts.

  • @shubhamkumarsahotra3671
    @shubhamkumarsahotra3671 3 года назад +5

    Brilliant sir 👏👏👏🙏🙏🙏 Our clg teachers should learn from you how to teach

  • @simransoni1742
    @simransoni1742 6 месяцев назад +1

    Such a effective teaching style

  • @asifahmedbhatti9831
    @asifahmedbhatti9831 4 года назад +3

    Sir, may Almighty blesss u
    I have completely understand ur lecture. Excellent way of teaching

  • @aparnajena-zr7qc
    @aparnajena-zr7qc 6 месяцев назад +2

    Awesome lecture this channel is so underrated ❤️🙌🙌☺️

  • @devindersingh24
    @devindersingh24 4 года назад +15

    Sir you are great hume apka samaj m ata h please sir real analysis karwa do

  • @devbhrigu5187
    @devbhrigu5187 2 года назад

    Sir aap bhagwan ho .......mujhe 6 saal hogye the padhe hue but aapne itna acha btaya ki mujhe samjh aagya

  • @kaushikchari9080
    @kaushikchari9080 4 года назад +3

    Best explaination sir. I understood everything.Thank u sir 👏🙏

  • @hafizatifislamabdusalam4289
    @hafizatifislamabdusalam4289 3 года назад

    Your teaching method is out standing...

  • @yashikaghawri5739
    @yashikaghawri5739 3 года назад +18

    Sir, m new to this channel your teaching style is amazing ❤️
    Plz tell me how and from where to get your notes

    • @Kk_2072
      @Kk_2072 2 года назад

      U got the notes? If yes then from where & how?

  • @azakel9101
    @azakel9101 3 года назад +2

    Great teaching skills🔥🔥... Way more better than my college

  • @pavan.n3788
    @pavan.n3788 4 года назад +4

    13:26 Lower bound

  • @abhinandanjain2399
    @abhinandanjain2399 2 года назад

    Sir aapki explanation wonderful hai mujhe sab kuch samjh me aa gaya hai. Thank you so much sir. Naman hai aapko.

  • @RashidRashid-od2lg
    @RashidRashid-od2lg 3 года назад +4

    Sir i am from pakistan am realy very impressed your lecturer sir you tell about notes please sir apky notes hum khaaa dund ly taky hamain mil sky

  • @eheteshamrazvi5301
    @eheteshamrazvi5301 2 года назад +1

    Bht aacha samagh aaya , jajakallah hu khaira🌹

  • @anjuchoudhary3151
    @anjuchoudhary3151 3 года назад +4

    Your teaching way is really amazing and appreciated. Seriously no words to explain your video 🥰. God bless you sir 🙏

  • @bhawnayadav2271
    @bhawnayadav2271 8 месяцев назад

    Really great teacher....I was doing this chapter from private tuition but couldn't understand
    So I searched for videos on RUclips
    And really happy to share my experience....that Ek baar Mai he topic mind m set ho gya😊
    You are really great teacher ❤️

  • @chanchalvashistha4073
    @chanchalvashistha4073 3 года назад +3

    thank u so much sir for your efforts nice videos sir ji 😍😍😍🤗🤗🤗🤗🤗🤗🤗🤗🤗🤗🤗🤗🤗🤗🤗😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😍😍😍😍😍😍😍😍😍😍😍😍😍

  • @amitchalkoi
    @amitchalkoi 2 года назад

    Sir aapke samjhane ka tarika bahut hi aashan hai ...etna achhe se maine pahle kabhi nhi samjha

  • @javedalijamali997
    @javedalijamali997 4 года назад +4

    Sir I am from Pakistan and sir almost I have watched all of your playlist sir kindly I want notes of these

  • @roshanthapa6311
    @roshanthapa6311 5 месяцев назад +1

    Such a nice explanation I am watching from Nepal.

  • @yogeshnegi5657
    @yogeshnegi5657 3 года назад +6

    Sir the contents of the video is awesome 🤗.
    Sir can you please provide us the notes for the respective lectures

    • @ReetikaPechetty
      @ReetikaPechetty Год назад

      Hey! If you have notes of these can you please tell me how to access them, cuz the number doesnt exist anymore

  • @Farhanhubhai69
    @Farhanhubhai69 2 года назад +1

    Sir you give a very good and easy way lecture plz sir keep it up and Allah bless you

  • @VenomGaming005
    @VenomGaming005 6 месяцев назад +3

    Sir padhate bohot accha hai bas ek do jagah confuse ho gaya jaha pe term sir ne galt bol diya jaise lower bound ki jagah upper bound bol diya unbounded above ki jagah bounded above

    • @Anonymous-wz6ky
      @Anonymous-wz6ky 6 месяцев назад

      Ignou bmtc 133 ke liye padh sakte hai
      Real analysis k naam se topic hai

  • @gungunsartandcraft1336
    @gungunsartandcraft1336 2 года назад +2

    After a long time this topic is clear to me .....thanks to u sir....🙏🙏👍

  • @amishakanwar8970
    @amishakanwar8970 3 года назад +3

    You are great Sir ek new hope mili h aapse...
    Thank you so much sir☺

  • @ieshu9707
    @ieshu9707 3 года назад +2

    Thank You so much Sir ...This Lecture is very very helpful.We appreciate your Efforts .

  • @GamingExpert0321
    @GamingExpert0321 2 года назад +6

    how to get hand on notes?

  • @mamtaprajapati5050
    @mamtaprajapati5050 2 года назад +1

    Best teacher of higher mathmatics
    🙏🙏🙏🙏🙏

  • @ektasingh9858
    @ektasingh9858 3 года назад +7

    Sir notes kaha se milega ???
    Please tell...

  • @riyasingh5287
    @riyasingh5287 2 года назад +2

    I have no words to express this great explanation sir....
    Thank u so much 🙏🏻
    God bless u with success

    • @ms-dv3cb
      @ms-dv3cb 2 года назад

      How can we get notes?

  • @nishattasnim5757
    @nishattasnim5757 Год назад +6

    Sir, where I can get the notes?

  • @barakatullah4200
    @barakatullah4200 3 года назад

    Your teaching quality is high class.

  • @riyabhati2971
    @riyabhati2971 4 месяца назад +6

    sir notes kha milenge??

  • @RahulSharmaSingularity
    @RahulSharmaSingularity 5 месяцев назад +1

    Fantastic Lecture Series !

  • @priyaranga648
    @priyaranga648 6 месяцев назад +3

    Where is notes are provided???

  • @HG-jl4ed
    @HG-jl4ed 3 года назад +2

    Sir u are best sir, honestly I can finish my engineering just by watching such great videos by great people like u on youtube sir, sir can u pls upload videos on probablity , random discrete variables of engineering math

    • @devil4902
      @devil4902 3 года назад

      Which year of your engineering buddy

  • @RahulSharma-bw5ft
    @RahulSharma-bw5ft 4 года назад +3

    Sir, from where we get notes

  • @ronhtech
    @ronhtech 3 года назад +1

    Thankyou sir....apne bahut hi achha bataya ...🤗 Sara doubt clear ho gaya 😌

  • @rabianaseem9326
    @rabianaseem9326 2 года назад +3

    Sir, I need Notes of your Lectures.. Kindly Guide how can i get these notes....

  • @YugalkishoriSahu
    @YugalkishoriSahu 3 месяца назад

    Oh! Finally I found my teacher for my college and I'm also your old 11th 12th student.😇

  • @ankitrawat6799
    @ankitrawat6799 2 года назад

    Best explanation ever . Best channel in u tube .

  • @anitakamboj4085
    @anitakamboj4085 4 года назад

    Thank. You sir itna acchha pdane k liye
    Shayad hme phle kisi ne itna acchha pdaya hota!!!!!

  • @newmindsetachievements7064
    @newmindsetachievements7064 Год назад +1

    I'm really pleasnt for ur teaching style, tqs SIR

  • @RelevantTricks
    @RelevantTricks Год назад +1

    ❤❤❤badhiya sir smjh a gya pura

  • @garimasaini7300
    @garimasaini7300 3 года назад

    Your way of teaching is too good.. Thanks

  • @raunaksahu_IIT-BHU
    @raunaksahu_IIT-BHU 11 месяцев назад +1

    hello sir your teaching style is very good

  • @mannukumari1344
    @mannukumari1344 2 года назад +1

    Sir teaching method is great
    This video very helpful for me😊😊

  • @keshavsharma2559
    @keshavsharma2559 2 года назад

    Kya mast smjaya h aapne
    Bht hi sandar sir ❤️❤️
    Sare doubts clear kr diye
    Amazing sir💥

  • @MohammadJunaid007
    @MohammadJunaid007 11 месяцев назад +1

    Why did you stop teaching on RUclips , Start teaching again and one day you'll be the greatest higher Mathematics teacher. ❣️

  • @riturekha447
    @riturekha447 3 года назад

    Bahut Hi mast aur bahut achi koshish ki aur example bhi samjhane k liye bahut ache liye the

  • @sakshipatil2322
    @sakshipatil2322 3 года назад

    Very nice teaching..... Kash aise guru hamain college main hote....thank u sir