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

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  • Опубліковано 4 жов 2024

КОМЕНТАРІ • 207

  • @gajendrapurohit
    @gajendrapurohit  3 роки тому +23

    Join Telegram Channel : t.me/mathsbygpsir
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    • @IIT_JAM_MATH_ASPIRENT
      @IIT_JAM_MATH_ASPIRENT 3 роки тому +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?

  • @omprakashtutorials9582
    @omprakashtutorials9582 3 роки тому +52

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

  • @anjaneyaagrawal1882
    @anjaneyaagrawal1882 4 роки тому +28

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

  • @asheeshkumar8662
    @asheeshkumar8662 3 роки тому +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

  • @biswajitbarik1077
    @biswajitbarik1077 4 роки тому +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 роки тому

      Yes Sir

    • @IIT_JAM_MATH_ASPIRENT
      @IIT_JAM_MATH_ASPIRENT 3 роки тому

      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 роки тому +2

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

  • @An_NITian
    @An_NITian 4 роки тому +9

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

  • @hansimazakstudios2633
    @hansimazakstudios2633 2 роки тому +2

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

  • @kindykomal
    @kindykomal 2 роки тому +4

    Thank You Sir ! Great explanation 🙏🏻🙏🏻

  • @tanukhatri1404
    @tanukhatri1404 3 роки тому +3

    Amazing explaination sir👌

  • @bhargabimeher1019
    @bhargabimeher1019 3 роки тому +4

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

  • @mathteacher8097
    @mathteacher8097 4 роки тому +4

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

  • @bkvlog9572
    @bkvlog9572 4 роки тому +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

  • @shaily..
    @shaily.. 3 роки тому +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

  • @mathematicswithnoman9167
    @mathematicswithnoman9167 2 роки тому +2

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

  • @SundarSingh-fo4cn
    @SundarSingh-fo4cn 2 роки тому +1

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

  • @sharadhadevi1205
    @sharadhadevi1205 4 роки тому +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

  • @samarjuneja1909
    @samarjuneja1909 2 місяці тому

    Sir u r god for lot of students including myself

  • @deeplaxmisingh1242
    @deeplaxmisingh1242 2 роки тому +1

    Very helpfull Sir to improve our Concept

  • @arvindprasad9364
    @arvindprasad9364 3 роки тому +1

    Thanks you so much sir......🙏🙏🙏

  • @pruthvisojitra6717
    @pruthvisojitra6717 2 роки тому +2

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

  • @silentknight2126
    @silentknight2126 3 роки тому +4

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

  • @jitendragouda2706
    @jitendragouda2706 Рік тому

    ತುಂಬಾ ಚೆನ್ನಾಗಿದೆ.
    Beautiful explanation 🙏🙏🙏

  • @kashifmalik258
    @kashifmalik258 Рік тому +1

    Excellent sir❤

  • @kuldeepsingh-mz7nb
    @kuldeepsingh-mz7nb 3 роки тому +5

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

  • @harshitakathuria8010
    @harshitakathuria8010 3 роки тому +5

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

  • @FizaKhan-dl7qp
    @FizaKhan-dl7qp 2 роки тому +1

    Best teacher of India 🔥

  • @mahendrraimahendrrai6234
    @mahendrraimahendrrai6234 2 роки тому +1

    Thank you sir 🙏 your video are very helpful

  • @mathteacher8097
    @mathteacher8097 4 роки тому +2

    thank you so much sir...

  • @riyajalipatel7917
    @riyajalipatel7917 Рік тому +1

    thank you sir it's so understandable...

  • @kartiksingh6692
    @kartiksingh6692 Рік тому +1

    great video sir..really helpful ❤

  • @himanshushukla5260
    @himanshushukla5260 3 роки тому +1

    🙏 Great Sir

  • @shivangyadav7813
    @shivangyadav7813 4 роки тому +2

    Very nice

  • @mathseasysolution1913
    @mathseasysolution1913 3 роки тому +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

  • @abhinavjoshi3936
    @abhinavjoshi3936 10 місяців тому

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

  • @MrPrincemohanty
    @MrPrincemohanty 3 роки тому +6

    You define the definition of a teacher...

  • @memebaaz4005
    @memebaaz4005 3 роки тому +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..

  • @DIGIMARK12
    @DIGIMARK12 4 роки тому +1

    Thanks sir 👍

  • @NityaKrishnaDas926
    @NityaKrishnaDas926 Рік тому +1

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

  • @unknownachievement2093
    @unknownachievement2093 10 місяців тому

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

  • @shalusunil1349
    @shalusunil1349 3 роки тому +1

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

  • @doramathscare6627
    @doramathscare6627 3 роки тому +1

    Very useful sir 👍

  • @kanishkgiri
    @kanishkgiri 3 роки тому +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?!

  • @aqsamajeedrana8582
    @aqsamajeedrana8582 4 роки тому +6

    You're nice person and doing well..

  • @Gamer45507
    @Gamer45507 3 роки тому +2

    Thank you so much sir 💕💕🙏🙏🙏🙏

  • @anaswaraa.c8309
    @anaswaraa.c8309 Рік тому +1

    thank you sir 🥰

  • @SmilingPlateau-ed3rc
    @SmilingPlateau-ed3rc 7 місяців тому

    Thank you SIR for brilliant teaching

  • @ruchidutta2488
    @ruchidutta2488 6 місяців тому

    you are the best sir

  • @ujjwalroy8835
    @ujjwalroy8835 8 місяців тому

    Great explanation

  • @Rakeshkumar-jf4ty
    @Rakeshkumar-jf4ty Рік тому +1

    You are amazing sir 🙏 🙏 🙏

  • @anshikatiwari1889
    @anshikatiwari1889 4 роки тому +2

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

  • @AhmadRajpoot-g2r
    @AhmadRajpoot-g2r 9 місяців тому

    Sir thank you so much for your kindness

  • @kashifmalik258
    @kashifmalik258 Рік тому +1

    This help me a lot to solve my final exam😊

  • @taruntingal308
    @taruntingal308 6 місяців тому

    Very useful videos

  • @priyankajaiswal9280
    @priyankajaiswal9280 2 роки тому

    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 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

  • @ashwindeepsingh44
    @ashwindeepsingh44 3 роки тому +1

    Nice

  • @vishnupachahara69
    @vishnupachahara69 3 роки тому

    Bahut acha lg rha he sir PLZZ continue

  • @pritisen8320
    @pritisen8320 2 роки тому

    Very much helpful🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

  • @tikamrathore5393
    @tikamrathore5393 4 роки тому +1

    Lot of thanks sir ji

  • @YADAV-us8hg
    @YADAV-us8hg 4 роки тому +1

    Behtrin content h sir

  • @vsmjfoodeverything0
    @vsmjfoodeverything0 3 роки тому

    Boht acha samjhaya ha sir ny

  • @vandanamallikarjun3045
    @vandanamallikarjun3045 3 роки тому +2

    Sir plz upload how to represent open set in metric spaces

  • @xesssunil6275
    @xesssunil6275 Рік тому

    It's amazing....

  • @rajeshkumarsharma1654
    @rajeshkumarsharma1654 2 роки тому

    This is very helpful for higher students

  • @kunalkunal6742
    @kunalkunal6742 3 роки тому

    Mst lgra h sir content.

  • @GHULAMMUSTAFA-qw3mi
    @GHULAMMUSTAFA-qw3mi 4 роки тому +1

    Awesome sir... ✔✔✔

  • @ajaymaurya204
    @ajaymaurya204 3 роки тому +1

    Super sir

  • @sapnajaryal520
    @sapnajaryal520 6 місяців тому

    Superb sir

  • @nandhinisivakumar7253
    @nandhinisivakumar7253 4 роки тому +1

    Thank you sir!

  • @ArshadKhan-hh7gf
    @ArshadKhan-hh7gf 4 роки тому +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

  • @parameswargond9443
    @parameswargond9443 5 місяців тому

    Nice explanation

  • @zubairosama5386
    @zubairosama5386 2 роки тому

    Helpful video

  • @dhrubkumar3257
    @dhrubkumar3257 4 роки тому

    Very helpful

  • @geoplusmath869
    @geoplusmath869 9 місяців тому

    Zaberdast sir G love from Pakistan

  • @ahmedjaan5132
    @ahmedjaan5132 Рік тому

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

  • @RAJEEVKUMAR-mx3mk
    @RAJEEVKUMAR-mx3mk 3 роки тому

    Thank-you 100 much

  • @jasaswinisahoo1581
    @jasaswinisahoo1581 2 роки тому

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

  • @mathematicswithnoman9167
    @mathematicswithnoman9167 2 роки тому

    Great sir

  • @mrbbillionaire531
    @mrbbillionaire531 2 роки тому +4

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

  • @rajeshkumarsharma1654
    @rajeshkumarsharma1654 2 роки тому

    Very nice sir ji

  • @pramodkumarray4449
    @pramodkumarray4449 10 місяців тому

    Very fine

  • @dikshachaudhary2297
    @dikshachaudhary2297 3 роки тому

    Very helpful video..plz upload next video

  • @kambojramesh490
    @kambojramesh490 4 роки тому

    Great work sir....

  • @loganroy5389
    @loganroy5389 2 роки тому

    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...

  • @kmamrita2747
    @kmamrita2747 4 роки тому +1

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

  • @mehakchauhan6619
    @mehakchauhan6619 2 роки тому +1

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

  • @manishanimbalkar4078
    @manishanimbalkar4078 3 роки тому

    Thank u sir ,,very helpful

  • @sarlamishra3711
    @sarlamishra3711 Рік тому

    Good content

  • @Mrdevansh1
    @Mrdevansh1 2 роки тому +4

    Sir jaldi m h sayad 😀

    • @ella-yt2xw
      @ella-yt2xw 5 місяців тому +1

      Hamesha rehete hai😅

  • @ankeshbabu7273
    @ankeshbabu7273 3 роки тому

    You are very excited sir

  • @Ankitkumar-bq3hd
    @Ankitkumar-bq3hd 3 роки тому +1

    Real analysis jaldi se jaldi complete kariye sir

  • @Letitbe2005
    @Letitbe2005 3 роки тому +1

    Thnq sir🤗

  • @DIGIMARK12
    @DIGIMARK12 4 роки тому

    Great work sir

  • @sachirai7942
    @sachirai7942 3 роки тому

    Super 👌😎👌😎👌😎👌 class sir

  • @ankitatishu794
    @ankitatishu794 2 роки тому

    Thanks sir

  • @manoranjan6151
    @manoranjan6151 4 роки тому +5

    Sir I ordered that book for csir net mathematics made by you.
    Sir is it enough for csir net mathematics entrance?

  • @jiteshsarswa5743
    @jiteshsarswa5743 6 місяців тому

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

  • @shahinashahina7454
    @shahinashahina7454 3 роки тому +1

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

  • @nimishanaik9224
    @nimishanaik9224 3 роки тому +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

  • @mathteacher8097
    @mathteacher8097 4 роки тому +1

    sir plzzzzzzzzzzzzzzzz upload next videos related to real analysis

  • @likiliki9168
    @likiliki9168 4 роки тому

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