Metric Space | Metric Space - Definition , Concept & Examples

[@chiragaggarwal9282]

I am a student of bsc 4th sem. I am suffering from an eye disease called macular dystrophy.i am 60% visually handicapped and I will lose my vision in the coming years. I am not able to study properly. I try hard to srudy. My favourite subject is mathematics. Should I give IIT JAM exam. What competitive exam should I choose to give

[@anon8867]

I do not really know the answer to your question but I do hope that because you love math so much, you get a PhD and really discover something amazing in the field of Mathematics (obviously, PhD isn't compulsory for it to happen but just saying) Best wishes, bro! Hard workers like yourself are an asset deserve to be recognised! 😊 Stay happy & inspiring!

[@Swalim_Raja011]

Give up kar de bhai....❤❤❤

[@pradeepyadav8469]

What's your present condition 😢

[@jeetuyadavv7694]

Gayi abb ya dikh raha hai 😢

[@jigarsen]

Bhai khi achi achi jagaho p ghumle Natural scenery dekh le Ye formulas dekhne se jyada satisfaction milega

[@ashissamal3616]

Sir plz continue this topic it is vry important fr our university exam

[@bhawanshsharma7670]

Yes bro..this topic has important weightage...

[@saikiranmalavath294]

s bro..iam studying in cuk..today only i understood metric space

[@Deepak-k-m-o]

Yes sir plz contious this chapter

[@nikitapatel1878]

Yes sir, it's a important topic. We r studying it in real analysis.

[@bikashnandi8266]

Which university u reading

[@KhanMath13]

Sir I am so happy.. Yesterday I search on KZbin about this topic but today here it is.. I am really very big fan of you sir... Thank You so much sir... You are the only guide in my preparation... Love you sir

[@unknonman8032]

Sir plz is playlist m yeh topics cover krdo .. Exam aane wale h😭😭🙏🙏. N Thank you ..👍 . Definition and example of a metric space, Diameter of a set, Bounded set, Open sphere, Interior point and Interior of a set, Derived and Closure of set, Closed set, Closed Sphere, Properties of Open and Closed sets, Boundary point of set, Convergent and Cauchy sequences, complete metric space, Cantor’s Intersection theorem. Dense subset, Baire Category theorem. . . Limit of a function, Continuous function, theorem on necessary and sufficient conditions for continuity of a function, Uniform continuity, Contracting mapping, Banach Fixed Point theorem, Equivalent matrices, Compactness, Sequentially compactness, Totally Bounded space, Finite Intersection properties.

[@smritasingh6559]

Kyuki ye topics b sc m bhi h aur m sc m bhi h smjh m nhi aa rha h kya aur kaise kre aur sir telegram p apka channel mila h pr usme tayari ka math h plz help me sir

[@nirupakumari3861]

Continue this topic thanks sir ji

[@chandankumargupta8174]

Sir make a video on open and closed set ,boundary points , conraction principle, construction of a real no as the completion of the incomplete metric space of retiooals in metric space

[@umakant6908]

Quite experienced teacher... Lectures are awesome ♥️

[@babechris9412]

I was waiting for it from months . Thanku sir

[@MrSanjuBarman]

Me too

[@NileshKumar-uw5dx]

Great exposure of metric space is felt via your way of teaching sir 🙏

[@vidhyapithtapasideb3830]

Thank you sir ..... Sir please extend the topic upto Functional analysis ,If possible..it will be very much helpful sir.... please sir ...

[@debashisbiswas1611]

exactly ur wright

[@cherrycheese1503]

Sir continuation of metric space... Connectedness, completeness and compactness🙏.. With specified theorem.. Plz sir🙏

[@KhanMath13]

Sir which book will be good for Metric Space.. I am preparing for state PCS with mathematics as optional

[@RAHULKUMAR-qr7ox]

Sir mera BSC Ka final exam July first Week me hai... Plz daily video upload kijiye guru ji

[@nirupakumari3861]

Bhai Kaun sa University me h

[@RAHULKUMAR-qr7ox]

@@nirupakumari3861 Mai Bihar se hun... Lnmu Se

[@UttamKumar-jz8oj]

Sir please continue this topics UNIT - I Metric spaces: definition and examples. Sequences in metric spaces, Cauchy sequences. Complete Metric Spaces. Open and closed balls, neighbourhood, open set, interior of a set. Limit point of a set, closed set, diameter of a set, Cantor’s intersection theorem. Subspaces. (2 questions) UNIT - II Continuous mappings, sequential criterion and other characterizations of continuity. Uniform continuity. Homeomorphism, Contraction mappings, Banach Fixed point Theorem. (1 questions) UNIT - III Geometry of complex numbers, regions in the complex plane, Limits and continuity of functions of complex variable, Derivatives, Necessary and sufficient conditions for differentiability. (1 questions) UNIT - IV Analytic functions, examples of analytic functions, Cauchy-Riemann equations, exponential function, Logarithmic function, trigonometric function, derivatives of functions, bilinear transformation, cross ratio, conformal mapping. (3 questions)

[@mrigulsharma5682]

Yes sir please

[@bikashnandi8266]

Which University you studying now.

[@mathpi-rates9160]

Sir please give the link of related playlist of videos in the discription

[@rubeenaparveen8289]

You're an amazing teacher 😊 thank you so much

[@soumendas8576]

Very nice sir...❤️ Waiting for the videos of open and closed set,convergence,Cauchy sequence,continuity, uniform continuity,Cantor's theorem in this topic...🙏

[@poojapanday9422]

Please sir continue further topics

[@komalkumari-wh1eo]

Thanks so much sir 🙏🏻 🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻.... please continue the leacture 🙏🙏🙏🙏🙏. You are my all time favourite sir 🙏🏻🙏🏻🙏🏻🙏🏻....

[@poojakaushik2312]

Thanks sir .sir please net k paper me jo questions aate h unki bhi short triks btana please sir

[@dishatarafdar8881]

Sir plz upload videos on complete metric space , compactness, cauchy convergence criteria related to metric space...

[@shailendrachaurasiya4248]

Sir Last example m x=y=1 v le sakte h??? So that x=y ho jayga

[@PremSingh-cr4yx]

Nyc explanation sir ..... Thanku soo much for awesome knowledge 🙏🏻❤️

[@Capitaloflucknow2479]

Sir age bhi metric space ka video bna dijiye

[@tanujaroy783]

Sir please make videos on dynamic bsc part 2 please.🙏

[@tahiratabussum3439]

sir plz continue this topic and functional analysis as well. from PAKISTAN

[@slicknick9886]

Kyon bha madrase me nahi padhate Kya ?Jab India k hi logo ka videos dekhna tha to Pakistan Kya sirf bejjati karwane k banaya tha

[@tahiratabussum3439]

@@slicknick9886 what can i say here about your mentality leavel and by the way i not asking u to teach sir slick nick.

[@ranaamirmathematician4130]

Bhai aap educated ho to aisi language mat use kro knowledge k liye pocha ha aap muft ma gussa dikha rhy ha

[@slicknick9886]

@@ranaamirmathematician4130 Bhai mene kuchh Galat kaha ho to batao Jo sach hai wahi bola aur language ki baat rahi to sach to kadwa lagega hi na

[@slicknick9886]

@@ranaamirmathematician4130 ye Pakistanis Jahan dekho whan Indian Channels par jaroor mil jaate Hain inke desh me aatankvaadi k alava koi aur kaam hota nahi hai isiliye to inki ye haalat hai

[@SandhyaKumari-sv5hm]

Sir, give us link of next videos of matric space...

[@49renu68]

Thanku sir so much we are eagerly waiting for this

[@gokulanandapradhan6978]

Thank you sir.Plz continue this topic

[@bhawanshsharma7670]

Sir plz continue this topic.....🙏🏻🙏🏻🙏🏻

[@jeevanmaan6016]

Sir in last example humne x=1 or y=-1 liya hai agr hum y=1 lete hai to condition hold hoti aa

[@ipsitapattnayak2002]

Tq so much sir for uploading metric space

[@asheeshkumar8662]

Nice explanation sir.. Thank you so much...

[@b.s.s3075]

Thank you so much Sir!!!!

[@mrigulsharma5682]

Sir please give a whole playlist over metric spaces as it is one of our subject in bsc

[@shivnarayanchoudhury2528]

Thank you so much sir 👏

[@aniketeuler6443]

Sir to which branch does this topic belong?

[@AnshulPatle31]

11:05 what if i take x=1 & y=1 then also it will be d(1,1) = 0, Thoda sa confusion hai sir, Ek do aur example ho jate to thik rahta

[@madhavipatidar8497]

Sir in example 3 if we take x=y= 1 then it will satisfies the second property or not?

[@amirbanu7022]

Thank you much sir i am fan of you😊

[@vikaschaudhary5303]

Kal ka exam h tension ho Rahi thi kaha se karunga phir gp sir ki video mil gyi ..😮‍💨😮‍💨

[@mahrukhkhan5071]

Sir last waly question may ager hum y ki value b 1 ly tou satisfied kerti ha condition

[@mustafijurrahaman6596]

Outstanding teaching

[@jagratigautam4141]

Next topic plz..... linear transformation kra dijiye short me🙏🙏

[@abhishekkumarsah4322]

Bahut achha se batate hai sir thank you sir

[@sarveshmodanwal1010]

Good evening sir 🙏🙏🙏🙏🙏🙏

[@minjoon316]

Sir pls make on compactness, connectedness, completeness

[@chandankumargupta8174]

Sir what is distance function

[@kartikrajput2131]

Sir Last sem h mera , to videos help karte h ,lekin kuchh topic pe aapne video banaye hi nahi h

[@MohammedHasmi577]

My favorite sir 😍

[@vishagarwal5739]

Sir pls continue this topic.

[@kartikmaths9880]

Thanks sir

[@rkg3623]

Thank you sir ji you are great

[@rinkigupta1943]

Sir plzz differential geometry ke topic pr bhi vedio bna deji

[@ambikabhardwaj33]

Thank you so much sir for explaining everything in such a wonderful way as always.

[@shivanivyas3127]

Sir if x=R instead of x=N ho to ye metric hoga ??????

[@pqshubh]

No 😅

[@siddharthmaurya435]

Postman matric ki par bhi ek video bnaiye sir please 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏 and thanku so much sir

[@noorbano1306]

Asllam Alikum Sir g I am your big fan Sir g agar x is a arbitary element of belong kare B-A men or given condition ho A is subset of B To kia x A and B donon ka member hoga???

[@iffatsoumee2991]

Hajar salam lenge sir . The example 2 was just life-saving .

[@ashw164]

Thank you sir !!! Plz provide more video on matric space 🙏

[@Funnymo-rr3lz]

Thank you sir, less time more information

[@Hellobhaiya1432]

6:09 The third line you have written sir ?

[@infinityp3455]

Kbse wait kr rhe the is topic ka, but late hi shi, topic aya , thanks sir

[@ukashaatasleem8067]

Sir plz also cover topic of normed space and Banach space

[@Doggo491]

Thanku sir your hardwork helped me a lot keep making vidios 👍👍

[@Maths.by.sonu.asiwal]

Sir plz continue this topic because it is interested topic

[@vijendrayadav1895]

Sir this topics continuos it is very imp for University exam

[@VikasYadav_27]

Sir please continue this series thanks sir

[@kanishkjadhav9951]

sir plz get the lecture on tolology of metric space

[@sirshayan19]

Sir can we say metric spaces is the generalization of topology

[@IsrarKhan-ot1sy]

Sir functional analysis par video lecture banae plz plz

[@mandiumesh1070]

Sir pls make more videos on metric spaces

[@pricemindset3624]

Sir plzz continue this topic

[@dishatarafdar8881]

Thank you sir for uploading videos on this topic

[@Deepak-k-m-o]

Sir plz contious this chapter it is very important for our bsc exam this year

[@gorekhasabar9121]

Quick continue this topic sir 🙏

[@harshvisaini2843]

Lovely teaching method Sir, Thank you for this video.............But It would be still better it you decrese your pace, it will be easy for beginners and slow learners 🤍🤍 😇😇

[@omkar1070]

Thank you sir. Please upload more videos ❤❤

[@rampalverma5995]

Thanks sir ji Continue this topic

[@mathsloversjn3453]

Very useful video and topic sir

[@Shivakshi-ze2jq]

Thank you so much sir

[@Vishalsinghrajput214]

Hello Sir good morning ye matric spaces ka complete topic hai sir main bsc 3rd year main hoon sem 6 ka exam ke liye padh raha tha kafi acha content hai please reply me sir

[@AnandDhakwal]

Thank you sir 🙏🙏🙏🙏🙏🙏

[@aashabaghel3569]

Thank you very much you explained very well 🙂

[@priyamaurya623]

Thanku sir🙏🙏

[@jahirul9568]

Thank you very much sir,plz Some more contents based on csir net exam....

[@mathstutorialworld104]

Very helpful video for me right now... I am in bsc 2nd sem... Are you guys watching this video for competitive exam or bsc???

[@ishigarg]

Sir please continue kriye is topic ko aaccording to Msc 1

[@binoysaha5099]

let A={(x 1,x 2 ) € R2:x2=a constant} check wheather A is open and A is closed in R2 endowed with Euclidean metric Sir please help me to solve this question..... Please

[@mohammadhassan7356]

Sr X×X to positive real number q ky real number my negative numbers bhi aty hy aur vo fr first axiom ko satisfy nhi krta

[@abirsarker6525]

sir,,,you saved me!!🥰

[@dimplenasa8441]

Pls sir make more videos on metric spaces.

[@debiprasadpal669]

Please continue the Metric space

[@mathswithnikkiyadav]

Very helpful Sirji 👍👍

[@cofactor8127]

Where I can get full playlist of metric space??

[@ayeshanoor3629]

Very well explained 👍

[@skywingseducation9848]

Amazing sir thank you

[@KhanMath13]

Sir please complete all the series in this topic

[@subhrotanumoulik7771]

Sir please continue the topic🙏

[@babansahani9286]

Good sir continue this topic