Real Analysis | Interior Point | Interior Point and Open Set Definition & Example

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  • Опубликовано: 12 ноя 2024

Комментарии • 208

  • @gajendrapurohit
    @gajendrapurohit  4 года назад +23

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    • @IIT_JAM_MATH_ASPIRENT
      @IIT_JAM_MATH_ASPIRENT 3 года назад +1

      Dought
      If (-1,1) is open interval so it's nabourhood of its each and every point so let's p=1/2 and €=2 so it's nabourhood is (-1.5, 2.5) which is not subset of (-1,1) so how for every point of open interval is it's nabourhood?

  • @asheeshkumar8662
    @asheeshkumar8662 3 года назад +9

    महोदय आपके लेक्चर देखकर मुझे कोई भी टॉपिक कठिन नहीं लगा। । क्योंकि आप इतना आसानी से बता देते हैं कि कोई भी टॉपिक easly समझ मे आ जाता हैं

  • @omprakashtutorials9582
    @omprakashtutorials9582 3 года назад +53

    thanks for your support for a poor student who does afford coaching fee...........................

  • @anjaneyaagrawal1882
    @anjaneyaagrawal1882 4 года назад +27

    Remarkable effort by GP sir in making every thing so simple and esy.

  • @bkvlog9572
    @bkvlog9572 4 года назад +1

    sir app bhout acha samja te hai.............. app kuch kuch concept pe app uljha dete hai........ lakin apka content bhout acha hai.............. thank u sir

  • @biswajitbarik1077
    @biswajitbarik1077 4 года назад +36

    Thank u sir... please sir real analysis ko bich mein chhod kar aur kisi topic mein mat chale jana... it's a humble request 🙏🙏

    • @MrPrincemohanty
      @MrPrincemohanty 3 года назад

      Yes Sir

    • @IIT_JAM_MATH_ASPIRENT
      @IIT_JAM_MATH_ASPIRENT 3 года назад

      Dought
      If (-1,1) is open interval so it's nabourhood of its each and every point so let's p=1/2 and €=2 so it's nabourhood is (-1.5, 2.5) which is not subset of (-1,1) so how for every point of open interval is it's nabourhood?

    • @IIT_JAM_MATH_ASPIRENT
      @IIT_JAM_MATH_ASPIRENT 3 года назад +2

      @Krishna Goswami thank-you now concept is clear this constant epsilon is related to constant h of limit which is very small

  • @hansimazakstudios2633
    @hansimazakstudios2633 2 года назад +2

    Sir your teaching way is most wonderful.Every concept can be understood easily.

  • @An_NITian
    @An_NITian 4 года назад +9

    Plzz,,,, video continue daily minm 2 lectures,,,,I humbly request sir❣️🙏

  • @samarjuneja1909
    @samarjuneja1909 3 месяца назад

    Sir u r god for lot of students including myself

  • @jitendragouda2706
    @jitendragouda2706 Год назад

    ತುಂಬಾ ಚೆನ್ನಾಗಿದೆ.
    Beautiful explanation 🙏🙏🙏

  • @vishnupachahara69
    @vishnupachahara69 3 года назад

    Bahut acha lg rha he sir PLZZ continue

  • @tanukhatri1404
    @tanukhatri1404 3 года назад +3

    Amazing explaination sir👌

  • @priyankajaiswal9280
    @priyankajaiswal9280 2 года назад

    Sir aapki teaching ka tarika concept clear karana Deepali samjhana sabako bahut bahut infinit bahut achha lagta hai aapki vedio se hame bahut help milati hai thank you sir 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

  • @SundarSingh-fo4cn
    @SundarSingh-fo4cn 2 года назад +1

    Sir thanku very much for providing these valuable lecture for free. Thanku sir

  • @sharadhadevi1205
    @sharadhadevi1205 4 года назад +8

    Sir finally ur videos are very much helping me for IIT JAM please complete all the topics in real analysis......
    My only request..... please sir

  • @abhinavjoshi3936
    @abhinavjoshi3936 Год назад

    Absolutely wonderful... excellent explaination..you have just won a subscriber...thanks...keep up the good work.

  • @FizaKhan-dl7qp
    @FizaKhan-dl7qp 2 года назад +1

    Best teacher of India 🔥

  • @SmilingPlateau-ed3rc
    @SmilingPlateau-ed3rc 8 месяцев назад

    Thank you SIR for brilliant teaching

  • @unknownachievement2093
    @unknownachievement2093 11 месяцев назад

    You're a great teacher, Sir. Thank you so much Sir.

  • @mathteacher8097
    @mathteacher8097 4 года назад +4

    we are waiting for these videos latures..thank you so much sir

  • @mathematicswithnoman9167
    @mathematicswithnoman9167 2 года назад +2

    Sir ur videos are so much helpful and I learn more things from your videos..great effort towards students.

  • @kindykomal
    @kindykomal 2 года назад +4

    Thank You Sir ! Great explanation 🙏🏻🙏🏻

  • @shaily..
    @shaily.. 3 года назад +5

    Thank u so much sir ..u r doing a splendid job Sir... Plz keep posting videos my exams are on January I need to understand real analysis very well... Keep uploading sir

  • @bhargabimeher1019
    @bhargabimeher1019 3 года назад +4

    Thank u so much sir for making this helpful vdo..🙏🙏

  • @mathseasysolution1913
    @mathseasysolution1913 3 года назад +1

    Best explanation thank you so much sir apka attitude apne name ki prasansha chahne vajay apne students ko extra ordinary banakar apne atma ki prasansha chahna

  • @rajeshkumarsharma1654
    @rajeshkumarsharma1654 2 года назад

    This is very helpful for higher students

  • @NityaKrishnaDas926
    @NityaKrishnaDas926 Год назад +1

    Hare Krishna Sir jiii Dandavaat Pranam 🙏🙇‍♂️🙇‍♂️🙇‍♂️🙇‍♂️🙇‍♂️🙇‍♂️🙇‍♂️🙏🙏🙏🙏

  • @kashifmalik258
    @kashifmalik258 Год назад +1

    Excellent sir❤

  • @kartiksingh6692
    @kartiksingh6692 Год назад +1

    great video sir..really helpful ❤

  • @kashifmalik258
    @kashifmalik258 Год назад +1

    This help me a lot to solve my final exam😊

  • @AhmadRajpoot-g2r
    @AhmadRajpoot-g2r 11 месяцев назад

    Sir thank you so much for your kindness

  • @doramathscare6627
    @doramathscare6627 3 года назад +1

    Very useful sir 👍

  • @YADAV-us8hg
    @YADAV-us8hg 4 года назад +1

    Behtrin content h sir

  • @kuldeepsingh-mz7nb
    @kuldeepsingh-mz7nb 4 года назад +5

    Sir plz real analysis fast..,
    Complete...

  • @arvindprasad9364
    @arvindprasad9364 3 года назад +1

    Thanks you so much sir......🙏🙏🙏

  • @pruthvisojitra6717
    @pruthvisojitra6717 2 года назад +2

    thank you so much sir for uploading very interested topics ,These are helpful for us

  • @ujjwalroy8835
    @ujjwalroy8835 10 месяцев назад

    Great explanation

  • @ruchidutta2488
    @ruchidutta2488 8 месяцев назад

    you are the best sir

  • @mahendrraimahendrrai6234
    @mahendrraimahendrrai6234 2 года назад +1

    Thank you sir 🙏 your video are very helpful

  • @ahmedjaan5132
    @ahmedjaan5132 Год назад

    Sir eak bat kahu .... Ap k lectures "choti muh badi baat " hoti hai..... Amazing

  • @Rakeshkumar-jf4ty
    @Rakeshkumar-jf4ty 2 года назад +1

    You are amazing sir 🙏 🙏 🙏

  • @himanshushukla5260
    @himanshushukla5260 3 года назад +1

    🙏 Great Sir

  • @riyajalipatel7917
    @riyajalipatel7917 Год назад +1

    thank you sir it's so understandable...

  • @vsmjfoodeverything0
    @vsmjfoodeverything0 3 года назад

    Boht acha samjhaya ha sir ny

  • @silentknight2126
    @silentknight2126 4 года назад +4

    Sir function of one variable pe videos banaiyega plz... Limit continuity and diffrentiability pr.... 🙏

  • @taruntingal308
    @taruntingal308 7 месяцев назад

    Very useful videos

  • @MrPrincemohanty
    @MrPrincemohanty 3 года назад +6

    You define the definition of a teacher...

  • @ArshadKhan-hh7gf
    @ArshadKhan-hh7gf 4 года назад +5

    sir videos bohot useful he but sir some questions bhi karwa den video ke last me to kafi help mil jaigi plz sir
    thank for these videos

  • @bittughosh2412
    @bittughosh2412 3 года назад +7

    Great teacher, great session

  • @kunalkunal6742
    @kunalkunal6742 3 года назад

    Mst lgra h sir content.

  • @anshikatiwari1889
    @anshikatiwari1889 4 года назад +2

    Thank u sir...I am IIT Jam preparation this topic is very important..humble request

  • @pritisen8320
    @pritisen8320 2 года назад

    Very much helpful🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

  • @tikamrathore5393
    @tikamrathore5393 4 года назад +1

    Lot of thanks sir ji

  • @ajaymaurya204
    @ajaymaurya204 3 года назад +1

    Super sir

  • @xesssunil6275
    @xesssunil6275 Год назад

    It's amazing....

  • @aqsamajeedrana8582
    @aqsamajeedrana8582 4 года назад +6

    You're nice person and doing well..

  • @mathteacher8097
    @mathteacher8097 4 года назад +2

    thank you so much sir...

  • @sapnajaryal520
    @sapnajaryal520 7 месяцев назад

    Superb sir

  • @GHULAMMUSTAFA-qw3mi
    @GHULAMMUSTAFA-qw3mi 4 года назад +1

    Awesome sir... ✔✔✔

  • @mahendrakumargarasiya5110
    @mahendrakumargarasiya5110 3 года назад +2

    Thank you so much sir 🙏🏻🙏🏻🙏🏻

  • @shivangyadav7813
    @shivangyadav7813 4 года назад +2

    Very nice

  • @geoplusmath869
    @geoplusmath869 10 месяцев назад

    Zaberdast sir G love from Pakistan

  • @dikshachaudhary2297
    @dikshachaudhary2297 4 года назад

    Very helpful video..plz upload next video

  • @parameswargond9443
    @parameswargond9443 6 месяцев назад

    Nice explanation

  • @kanishkgiri
    @kanishkgiri 3 года назад +1

    Sir mai channel par naya hu.....bht axe se smjh aya......apki is playlist me nested intersection theorem ki video added nahi hai....sir apne upload nahi ki hai kya?!

  • @jasaswinisahoo1581
    @jasaswinisahoo1581 3 года назад

    Thank u sir,this is best video please sir more upload real analysis and matric space video

  • @zubairosama5386
    @zubairosama5386 2 года назад

    Helpful video

  • @jiteshsarswa5743
    @jiteshsarswa5743 8 месяцев назад

    Sir you are my saviour in exams 😂😂
    Nice lecture ❤❤

  • @dhrubkumar3257
    @dhrubkumar3257 4 года назад

    Very helpful

  • @harshitakathuria8010
    @harshitakathuria8010 3 года назад +5

    Hello! Is there any classes for the preparation for the entrance of MSc in Computer science for maths?

  • @RAJEEVKUMAR-mx3mk
    @RAJEEVKUMAR-mx3mk 3 года назад

    Thank-you 100 much

  • @mrbbillionaire531
    @mrbbillionaire531 2 года назад +4

    Im in bsc 3rd year and haven't study anything in pandamic but after watching your video I understand everything ❤️

  • @Ankitkumar-bq3hd
    @Ankitkumar-bq3hd 4 года назад +1

    Real analysis jaldi se jaldi complete kariye sir

  • @ankeshbabu7273
    @ankeshbabu7273 4 года назад

    You are very excited sir

  • @pramodkumarray4449
    @pramodkumarray4449 11 месяцев назад

    Very fine

  • @digitalmathematics4021
    @digitalmathematics4021 4 года назад

    Great sir

  • @rakkanmomin9777
    @rakkanmomin9777 3 года назад

    very good sir

  • @kambojramesh490
    @kambojramesh490 4 года назад

    Great work sir....

  • @DIGIMARK12
    @DIGIMARK12 4 года назад

    Great work sir

  • @nandhinisivakumar7253
    @nandhinisivakumar7253 4 года назад +1

    Thank you sir!

  • @sarlamishra3711
    @sarlamishra3711 2 года назад

    Good content

  • @shalusunil1349
    @shalusunil1349 3 года назад +1

    sir jo apki book hai vho hum DU M.A Mthematics entrance ke liye use kar skte h kya

  • @memebaaz4005
    @memebaaz4005 3 года назад +4

    Sir where ur nested intersection theorm unable yo find it . please provide me..thk u for ur beautiful lectures 😭😭🙏..only few days left for my entrnce exm..

  • @Mrdevansh1
    @Mrdevansh1 2 года назад +4

    Sir jaldi m h sayad 😀

    • @ella-yt2xw
      @ella-yt2xw 6 месяцев назад +1

      Hamesha rehete hai😅

  • @vandanamallikarjun3045
    @vandanamallikarjun3045 3 года назад +2

    Sir plz upload how to represent open set in metric spaces

  • @ashwindeepsingh44
    @ashwindeepsingh44 4 года назад +1

    Nice

  • @loganroy5389
    @loganroy5389 2 года назад

    Sir Jis theorem ka proof Aapne video me dikhaya hai.kya wo proof same to same exam me vi likh sakte hai Kya.. please reply...

  • @shahinashahina7454
    @shahinashahina7454 3 года назад +1

    Sir aap bot achha samjhate h bas bot fast batate h thoda aaram se bataya kijiye please sir and thnkuuu sir

  • @manishanimbalkar4078
    @manishanimbalkar4078 4 года назад

    Thank u sir ,,very helpful

  • @sachirai7942
    @sachirai7942 3 года назад

    Super 👌😎👌😎👌😎👌 class sir

  • @Letitbe2005
    @Letitbe2005 3 года назад +1

    Thnq sir🤗

  • @likiliki9168
    @likiliki9168 4 года назад

    Sir real analysis Pr mcqs bhi krwaye....... IIt ki bhi...... Sir jldi jldi analysis ki sare video upload kijiye

  • @WEDNESDAYFF762
    @WEDNESDAYFF762 2 года назад

    Thank you 🥰

  • @Ankitkumar-bq3hd
    @Ankitkumar-bq3hd 4 года назад

    Sir vedio daily uploaded Karo kyuki bsc ke liye aapke channel ke throw pad rha hu

  • @mehakchauhan6619
    @mehakchauhan6619 2 года назад +1

    Sir can there be more than one interior point of a neighbourhood?

  • @dronamrajuchandarshi9758
    @dronamrajuchandarshi9758 4 года назад

    Thank you sir

  • @kmamrita2747
    @kmamrita2747 4 года назад +1

    Sir closed set and dense set ka video uploaded kr dijiye 🙏🙏

  • @nimishanaik9224
    @nimishanaik9224 3 года назад +1

    The union of arbitrary open set is open set. Yahan ham n belongs to N liye hein toh N is natural number aur wo opet set nehi hota. Toh yee proof kese kiya

  • @sudaisahmad2997
    @sudaisahmad2997 3 года назад +1

    Sir kabi kabar |R² i mean disk k Bhi example solve Kary tnx sir

  • @soniarani2261
    @soniarani2261 3 месяца назад

    Mast sir