Real Analysis | Set Theory | Set Theory Basic Definition & Examples

[@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

[@raghav5895]

Sir please aur videos banaiye real analysis ki 🙏🙏🙏 qunki isse 35 marks ka ata ha jam me

[@rajdeepkumarkushwaha1745]

Your teaching experience is very good. Thank you so much for this help🙏🙏🙏🙏

[@SK34338]

Sir set and theory me ek topic hai Hyberbolic function trigonometry hai.please video upload kijiye

[@satyamkumarmal7783]

Si can you refer me a good book to build a strong base in set relations functions!!😅

[@PriyaKumari-yp8si]

Sir aapse detail m bat ho skti h?

[@dipikadas8071]

Sir you are the best math teacher I have ever come across. Hats off to your depth in Mathematics.I think Mathematics is feeling proud of you!

[@aman65700]

I think still you have not watched 👉SKY Sir Real Analysis👈 lectures 😀... try once and I am sure you are also going to be fan. He is the God of Mathematics on earth. 🔥💯 KZbin channel: Thinkers Academy

[@yash-fy5lt]

One of the best teacher I have been through in my life 😇🙏

[@akankshasingh7757]

Yes

[@jesuscriesuwu]

( ͡° ͜ʖ ͡°)

[@marcin1875]

thief

[@rajeshrawal166]

Thanks Sir आपके लेक्चर बहुत बेहतरीन है। और ये फ्री में youtube पर अवेलेबल है , इससे स्टूडेंट्स को बहुत फायदा होगा । ईश्वर आपको इस पुण्य कार्य का फल देवे यही दुवा है।

[@jacksmoba603]

I hate real analysis in entire mathematics. But I like mathematics.

[@darshanagowala4274]

Ye real maths jesa lagtahi nehi hee

[@jacksmoba603]

@@darshanagowala4274 yeah but fun fact is that I got an O ( Outstanding) in real analysis.😅

[@laddu9372]

same 2 u😢

[@jacksmoba603]

@@laddu9372 😂

[@zer0h0urrr37]

😂 same

[@Vikash-mathematics]

Thankyou so much sir for this topic 🙏🙏

[@keishamselex1689]

Thank you boss. I watch all your differential Equations videos ,abstract algebra and vector space. It took me 6 days. Thank you once again. I forward to join you NET course.

[@mahimabhardwaj6760]

Hey there. Sorry to disturb you after 2 years. But i wanna ask a thing. I am a student of bsc 2nd year.. So is it okay for me to watch these lectures.. I mean in thumbnail there is clearly written Msc, net and phd

[@unknownarmy7180]

@@mahimabhardwaj6760 little late reply but i have studied for my bsc maths from GP sir videos only. so yes you can absolutely watch and learn from here(its highly detailed and will make your base knowledge strong.)

[@mahimabhardwaj6760]

@@unknownarmy7180 thanks so much for replying me army.. I was in dilemma wherever I should start from here or not.. Saranghae 💜💜

[@subhodeepbhattacharjee5636]

Thank you so very much sir ❤️.I wanna understand set theory and at last I understand it very well.Very conceptional video.And also I wanna know more things about set theory. धन्यबाद।🙏

[@anshikatiwari1889]

Sir iam IIT JAM preparation and bsc final student for ..... awesome..🙏🙏

[@Gucci001-uy7cy]

Ye channel bhi bahut acha hai.. issey bhi help milti hai mujhe: *The hidden library of mathematics* Dr khetan padhate hai .. wo iit cmi tifr se hai.. amazing teacher

[@hemantkumawat-ho5hv]

bhai iit jam clear hogya kya

[@seeeverything...2588]

Guru jii i think uh r the best teacher of mathematics in this whole world......... God always bless you🙏🙏🙏🙏🙏🙏and thank you so much for giving the best lecture on basics of set theory🙏🙏🙏

[@sumansinha1310]

Apka video iit jam ke liye perfect he.thank you so much sir...

[@cartoondhamaka2601]

Sir tame to maths na king so and expline karane ka style to super duper he 💖💖💖💖

[@dipsacedemy]

Sir pura pura course start kr do , deep mathematic knowledge with proof , sach me mja aa jayga.

[@anshukhoker9182]

I am student of maths H. But I miss so much class So agar m inki class lu tho cover ho jayga kya ???

[@dkchannel5056]

@@anshukhoker9182 muskil hai

[@tipsandtricks3578]

@anshu g agar ap se ho jaayega mtlb you r so intelligent ... Fir apko basic maths sara ata h ...toh ap b khud padh sakte ho fir deep

[@shadaanhassan5936]

Thank you so much... Love you sir...jo concepts 12th me clear ni hue the wo abb hogye.... Thanku thanku sir.... Plz sir Shoutout dedo🥺🥺🥺🥺🥺

[@deependra_rathod_]

Hello sir , first of all thank you so much because i have started preparing my bsc. second year maths 10 days before and after 10 days i am writing this comment, at starting i randomly selected videos and watched but didn't get the concept so i judged you that you are not teaching well, so sorry for that. But now i am getting confidence about my exam. So thank you so much 💟 And here is a advice for newcomers that you have to start videos watching from basic concept video so you could get it .

[@UttamMeena-mm7yc]

Pass or fail bro in maths 😅

[@deependra_rathod_]

@@UttamMeena-mm7yc passed

[@sandhyapatel220]

Thank u so much sr I am very happy sr aap ki vedio ka kafi din se intjar tha🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻

[@IrfanKhan-sr9xh]

Thank you sir your mathematics topic ...upsc mathematics optional k liye super h sir .....bhut benefits hua h muje syllabus cover krne m .. .... Aage bhi math option k topic se related or bnaye sir.. thank you so much sir ji

[@rajneshyadav8010]

Upsc maths optional ke liye kyon kyon si book best h

[@akankshakumari5520]

Sir a huge thank you for this topic ( real analysis )🤗🤗🤗 so much needed video 🙏🏻🙏🏻🙏🏻 kindly complete this topic it's a humble request to you

[@Saurabhkherli095]

Bsc..ke level ka h kya

[@vimalkumargautamjiii9044]

V good work sir ji ham jese bacho ke liye apki sewa bahut achhi he thanks you so much

[@sitalgarg4842]

Thank u so much respective sir..🙏🙏

[@Beautiful224]

0923444052655

[@Beautiful224]

I want some books if you don't mind

[@blackfire_burn]

What a brilliant teacher, that's called smart study😱

[@xthrth1320]

this content is worth thousands of dollars 🙌🙌

[@snigdhadas1740]

I have got my genius sir 😁... Thank u so much sir

[@kavitajangra3541]

Thnku so much sir🙏🙏for explain very deeply. Again thnku sir ji☺😇

[@razaali9689]

Bht acha lecture deliver kiya...informative

[@jagratigoyal5544]

Amazing explanation 👏🏻👏🏻👏🏻

[@mastersmsc6848]

Hi

[@master7011]

Your explanation is very good sir 👌,

[@Ayushgupta2004]

Sir during watching ur lecture I get realised that a thirsty student has got a well full of water .

[@debabratamondal4601]

Sir, your method of explanation is wonderful. Thank you sir.

[@shabinakhan3528]

Well explanation 👏❤ thanks a lot sir..😊

[@pallavighuge2871]

Thank you sir.😊outstanding explanation 💯

[@pawansuyal8799]

You are great😊😊😊😊😊 Sir ji🙏🙏🙏🙏🙏

[@chandankumargupta8174]

Very very useful basic topic sir

[@kishutalks7709]

You are great sir ji❤️❤️

[@pritammallah1042]

Thanks sir you are the best teacher I understand everything's ❤️❤️❤️❤️ love you sir

[@shyamaldevdarshan]

Hye sir!!🙏😊 Actually iam leaving a comment here ,to get nostalgic feel in future,when someone like this comment.. i am +2grade student😁,,aur maine recently jee mains diya hai,,and now preparing for upcoming jee adv.😀 Waise jha aapne suru kiya h,,wo sb to hmne 11th me hi pdha tha,,,agr pta rhta ki "real analysis"me yhi sb se start krte h ,to yhi sb pdhe rhte,,ooh shitt😁!! By the way,, well explained sir,,mai to khta hu 11th and 12th {jee aspirants} Ko v ye videos dekhna chahiye time nikalkr, fayda hi hoga🤩😊👍

[@avichauhan6541]

Sir this is very nice and helpful vedio for us

[@ayushkrishna6313]

Sir apkaa bhutt Bhut Danyabad apka 🙏🙏🙏💖

[@arijitmajumder2638]

Sir , one of the great leacture

[@MATHSPRO-fe7fb]

Sir ji thank you so much sir ji..it's very easily understand to real analysis..

[@letslearnwithanand3970]

Thank you so much sir all the best.

[@solutionofmathematics1411]

Thank you sir 👍🙏

[@anmolraj3876]

Thnaku so much sir🙏 aapke jaisa teacher bhut km milte h👍

[@vittuyadav840]

Really you are perfect teacher for mathematics

[@heenasinha4390]

Thank U so for this video sir......🙏

[@VMlove143]

Good afternoon sir Sir Aaj ap ki class ma maja aa gya thanks u sir real analysis pe video bana ka liya😊

[@sarikamaurya6038]

Thanks sir. Love you 😘😘😘

[@lakshikachoudhary380]

Thankyou very much sir 😁

[@ayushmittal1300]

Sir, you are great teacher

[@muhammadatif3313]

Love you sir like the decimals of irrational number pi (π), you are My Best Teacher forever.

[@Vidya-l9p]

Very nice explain and helpfully video sir

[@dayanageorge9543]

Sir can u make more videos related to proofs it will so helpful. Your videos are really helpful. Tq so much sir for making such useful videos.

[@shyamdas6231]

Sir, I am grateful to you. Thank you for giving us access to your lectures. I just had one suggestion. I wonder if you could slow down the speed at which you deliver your lectures.

[@Akash-oo3dv]

Sidhi baat no bakwaas 😌

[@rayhanulislam1008]

outstanding class,thanks from Bangladesh

[@funnmoment3157]

Thank you sir for starting real analyasis

[@mohsinraza4295]

Perfect by anyway Very good understanding method May Allah bless you a long life full of happiness

[@babansahani9286]

Wow super sir I'm waiting for this topic

[@arvindprasad9364]

Thanks you so much sir......❤️❤️❤️❤️❤️ You are my favourite teacher after 12th

[@mohit_kumar_singh]

Math is very with you

[@afrinhashmi5409]

Thank u sir ❤️

[@lakshikachoudhary380]

Thankyou very much sir for this amazing session ❤️😁😁❤️

[@multibar9934]

Always waiting for your content sir❤️so much helpful in this lockdown ❤️

[@vikashpandey4221]

I am very very happy ,thanks allought

[@vikashpandey4221]

I seen your lectur .sir next lectur?

[@rajaajmal001]

Sir your videos are so helpful

[@sonigupta664]

Sir such me bhut accha lga pd kr

[@aanchaljaitawat3598]

Thank u sir for amazing explanation..!!🙏

[@abhishekverma4290]

Exceptional video

[@ManishaOnkare]

Tq sir Tq so much 😊

[@mkkhare4499]

Very nice class sir

[@ravikantsharma8461]

Sir,👍 very helpful videos

[@DineshKumar-pp5fg]

Sir mai TGT math ki taiyari kar Raha hoon.mujhe aap se bahut madad mil rahi hai.thnk you very much sir ji

[@Hansraj_Chhedwal]

@@DineshKumar-pp5fg ho gya kya bhai selection??? Me bhi DSSSB ke liye dekh rha hu bhai

[@Mathswithpragati]

Sir please modern algebra bhi cover kariyega.. and big thank you for the amazing video.🤩🤩

[@shalu7728]

Thanks sir😍🤩

[@RohitKumar-pf3iv]

For onto function, Range=Co-domain

[@maxxstudy2439]

It's really very much better than others

[@sumitkashyap5469]

Very very thanks sir hamko bhi iski jarurat hai real analysis

[@mathematified3344]

Dont leave in the middle of real analysis sir..i really want to learn this subject.

[@anujsrivastav6849]

Sir, Mechanics pr video upload kejiye.🙏🏻🙏🏻🙏🏻🙏🏻💖

[@rabiyakhan6772]

Sir theory ke sath do ya tin question v solve krwa diya kre isse clear smjh me aa jayega plzz.।।

[@sanjaymittal4031]

Sir plz upload videos on metric spaces

[@mayanksinha5538]

Sir Your lessons are very useful

[@dialyjobsscholarships5789]

excellent sir its our subject in BS in which we have problem but bqz of u we are able to cover these problem and sir plz plz plz start the topology and differential equation 2 course love from pakistan

[@aditiarya8998]

thankyou so much sir for the content . the way of you teach is amazing

[@tikamrathore5393]

Lot of thanks sir ji

[@mayankawasthi864]

Very helpful sir 😊😊 pls carry on

[@nareshthakur745]

You are legend for us sir 💓💓

[@rjkraj]

Keep it up sirji

[@sindhurajverma9607]

thanks sir very nice teach

[@priyankarajput6944]

Great teaching sir thank you sir 🙏

[@Rohit-kf1yt]

MANY MANY THANKS SIR.

[@anshikatiwari1889]

Infinite of thanks..sir real analysis ke sara topic Dalia sir ...piz

[@studywithneha6875]

Thank you sir Helpful video

[@GANGADHAR-bn6pq]

thanks sir i understand first time set theory

[@mathsloversjn3453]

V helpfully video sir

[@arjunpal4583]

Sir apkya smhjya pura ara thx sir esa he mujha age badhiya

[@AdityaRaj-mg4mo]

Thanks a lot sir.

[@rakshayadav5211]

sir at 23:25 no. of elements of B should be less than and equal to no. of elements of A

[@SurajKumar-gz5jr]

Yes you are right ✅

[@bhaveshchoudhary7960]

Bahut badhiya...

[@payalswaroop2004]

Wrong❌

[@harrietsimiyu5231]

Woooow,Awesome video

[@mathswithiitians]

Nice sir🎉

[@imranquamar3034]

I thank you very much sir.