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

[@gajendrapurohit]

Join Telegram Channel : t.me/mathsbygpsir Instagram Handle : instagram.com/dr.gajendrapurohit/ Facebook Page : facebook.com/Dr-Gajendra-Purohit-453775988491992/ Unacademy : unacademy.com/@Dr-GajendraPurohit Link to buy my book : Amazon : amzn.to/35chzoi Flipkart : www.flipkart.com/csir-net-jrf-mathematics/p/itm5e763f58a0f3f?pid=RBKFWGAGWDKFZWRM&cmpid=product.share.pp Link to B.Sc. Maths Playlist : bit.ly/34tTTdc Link to Engineering Maths Playlist : bit.ly/2OQ7Uvd Link to IIT-JAM Maths Playlist : bit.ly/2sh9pei Link to GATE (Engg.) Maths Playlist : bit.ly/35EAPct Link to IAS Optional Maths Playlist : bit.ly/2rwkOqj Link to CSIR NET Maths Playlist : bit.ly/2R8sUjV Link to Aptitude Playlist : bit.ly/3ewDR7z Link to Mathematical Physics Playlist : bit.ly/2NvRHLJ Link to Abstract Algebra Playlist : bit.ly/2A70LUb Link to General Aptitude For CSIR NET : bit.ly/2ZeWpma Follwing Topics are also Available 1. Differential Calculus : bit.ly/2OTYXB0 2. Integral Calculus : bit.ly/34rLA1R 3. Differential Equation : bit.ly/37IOlO1 4. Partial Differential Equation : bit.ly/2OM5iyA 5. Complex Analysis : bit.ly/2OP8hGp 6. Numerical Analysis : bit.ly/2QYVQuy 7. Integral Transform (Laplace, Fourier & Z-Transform) : bit.ly/37HRKg9 8. Statistics & Probability : bit.ly/2DmOt7Z 9. Operation Research : bit.ly/2pYYRjp 10. Matrices (Linear Algebra) : bit.ly/2OOBSzO 11. Fourier Series : bit.ly/34u7iC9 12. Vector Calculus : bit.ly/2qICwXO 13. Theory Of Equation : bit.ly/2XU9y33 14. Special Function & Series Solution : bit.ly/2XRSU4l 15. Infinite Series : bit.ly/37K6gUI 16. Group Theory : bit.ly/3ieUze2 Please share it with your Friends Thanks Dr.Gajendra Purohit

[@IIT_JAM_MATH_ASPIRENT]

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]

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]

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

[@CATEYMEMEHOUSE]

🤦🤦

[@anjaneyaagrawal1882]

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

[@An_NITian]

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

[@biswajitbarik1077]

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]

Yes Sir

[@IIT_JAM_MATH_ASPIRENT]

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]

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

[@bkvlog9572]

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

[@hansimazakstudios2633]

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

[@shaily..]

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

[@priyankajaiswal9280]

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

[@sharadhadevi1205]

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]

Sir u r god for lot of students including myself

[@silentknight2126]

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

[@mathematicswithnoman9167]

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

[@SundarSingh-fo4cn]

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

[@NityaKrishnaDas926]

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

[@mathseasysolution1913]

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

[@jitendragouda2706]

ತುಂಬಾ ಚೆನ್ನಾಗಿದೆ. Beautiful explanation 🙏🙏🙏

[@tanukhatri1404]

Amazing explaination sir👌

[@mathteacher8097]

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

[@deeplaxmisingh1242]

Very helpfull Sir to improve our Concept

[@bhargabimeher1019]

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

[@kanishkgiri]

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?!

[@kindykomal]

Thank You Sir ! Great explanation 🙏🏻🙏🏻

[@kuldeepsingh-mz7nb]

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

[@harshitakathuria8010]

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

[@SmilingPlateau-ed3rc]

Thank you SIR for brilliant teaching

[@anshikatiwari1889]

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

[@Rahul_D.N]

IIT jam main mathematics bhi h kya

[@anshikatiwari1889]

@@Rahul_D.N hn

[@pruthvisojitra6717]

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

[@abhinavjoshi3936]

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

[@vishnupachahara69]

Bahut acha lg rha he sir PLZZ continue

[@memebaaz4005]

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..

[@anaswaraa.c8309]

thank you sir 🥰

[@AhmadRajpoot-g2r]

Sir thank you so much for your kindness

[@ArshadKhan-hh7gf]

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

[@unknownachievement2093]

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

[@rajeshkumarsharma1654]

This is very helpful for higher students

[@FizaKhan-dl7qp]

Best teacher of India 🔥

[@loganroy5389]

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...

[@mahendrraimahendrrai6234]

Thank you sir 🙏 your video are very helpful

[@arvindprasad9364]

Thanks you so much sir......🙏🙏🙏

[@shalusunil1349]

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

[@kashifmalik258]

This help me a lot to solve my final exam😊

[@ahmedjaan5132]

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

[@vandanamallikarjun3045]

Sir plz upload how to represent open set in metric spaces

[@kashifmalik258]

Excellent sir❤

[@riyajalipatel7917]

thank you sir it's so understandable...

[@kartiksingh6692]

great video sir..really helpful ❤

[@mathteacher8097]

thank you so much sir...

[@nimishanaik9224]

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

[@arnavlearningandgamingchan7630]

Thankyou sir 🌺

[@mahendrakumargarasiya5110]

Thank you so much sir 🙏🏻🙏🏻🙏🏻

[@himanshushukla5260]

🙏 Great Sir

[@doramathscare6627]

Very useful sir 👍

[@kmamrita2747]

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

[@YADAV-us8hg]

Behtrin content h sir

[@aqsamajeedrana8582]

You're nice person and doing well..

[@DSaini-si5mg]

👎👎👎

[@DSaini-si5mg]

🥵🥵🤬🤬🤬

[@likiliki9168]

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

[@mehakchauhan6619]

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

[@ruchidutta2488]

you are the best sir

[@Rakeshkumar-jf4ty]

You are amazing sir 🙏 🙏 🙏

[@sudaisahmad2997]

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

[@Ankitkumar-bq3hd]

Real analysis jaldi se jaldi complete kariye sir

[@tikamrathore5393]

Lot of thanks sir ji

[@jasaswinisahoo1581]

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

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Boht acha samjhaya ha sir ny

[@ektasom9419]

Sir plz test of convergence n divergence pr video bnaiye...exam aane wale h sir plz jldi bnana

[@ajaymaurya204]

Super sir

[@pritisen8320]

Very much helpful🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

[@mrbbillionaire531]

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

[@MrPrincemohanty]

You define the definition of a teacher...

[@IIT_JAM_MATH_ASPIRENT]

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?

[@govindsingh_13]

Please take minimum value in epsilon. Epsilon means very very small value. Ex: let suppose €=0.0002 then you can check that it is in the set of (-1,1).

[@taruntingal308]

Very useful videos

[@ujjwalroy8835]

Great explanation

[@divyamgaur7236]

Sir is theorem ka proof bhi sopve kar dijiye....."the interior of a set is the largest open set contained in the set"

[@shivangyadav7813]

Very nice

[@gajendrakumar6854]

Thank you sir

[@gajendrakumar6854]

Thank you sir

[@kunalkunal6742]

Mst lgra h sir content.

[@ankeshbabu7273]

You are very excited sir

[@mathteacher8097]

sir plzzzzzzzzzzzzzzzz upload next videos related to real analysis

[@ashwindeepsingh44]

Nice

[@mathematicswithnoman9167]

Sir please 🙏make on video on proof of bolzana weirstrass theorem .

[@shahinashahina7454]

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

[@ishigarg]

Sir can you please do Real analysis for Msc 1 (1st sem)

[@RAJEEVKUMAR-mx3mk]

Thank-you 100 much

[@dikshachaudhary2297]

Very helpful video..plz upload next video

[@sapnajaryal520]

Superb sir

[@jasaswinisahoo1581]

Sir please disscus about some exercise

[@dhrubkumar3257]

Very helpful

[@deepakmathematics9938]

Sir topology ka video btaiye please sir

[@nandhinisivakumar7253]

Thank you sir!

[@mathematicswithnoman9167]

Great sir

[@manoranjan6151]

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

[@gajendrapurohit]

Yes

[@manoranjan6151]

Thanks sir

[@manoranjan6151]

Sir please make a vedio on How we can answer more questions in less time?

[@rajeshkumarsharma1654]

Very nice sir ji

[@GHULAMMUSTAFA-qw3mi]

Awesome sir... ✔✔✔

[@pramodkumarray4449]

Very fine

[@soothingsounds8631]

Sir topology py b vedios bnain

[@geoplusmath869]

Zaberdast sir G love from Pakistan

[@xesssunil6275]

It's amazing....

[@einstein2.093]

Sir main in theoram's ke prove ko apne bsc(4th sem) ke exam main likh skta hun

[@parameswargond9443]

Nice explanation