Metric Spaces | Lecture 1 | Definition of Metric Space

[@algorithmo134]

Your teaching style is extra clear and top level! :D Keep up the good work!

[@ranjankhatu]

Thank you very much

[@nitishsinghchauhan131]

Mind blowing way of teaching...❤

[@muzahidul1234]

Thank you so much sir ❤❤❤

[@faithmwilachishimba1961]

This was Soo helpful and I love the fact that it was in English ❤

[@romipandaromipanda2588]

It's just too easy to understand, Thanks a lot sir😊

[@JESUS_SaviorOfTheWorld]

Excellent teaching. Thank you!

[@RamBabu-tg3ow]

Best sir

[@imraanqadri701]

Too good sir......thanku so much

[@VINODKUMAR-ey7ko]

You are best sir

[@NaomiLengerded]

Thanks a lot sir
You have earned a new subscribe

[@Youbettersaysubhanallah]

Subhan Allah !

[@melanijayarathne7464]

Thank u very much this video sereis.

[@alkakausadikar8569]

Very good Ranjan sir. Nice explaination

[@HarshdeepSingh-uy2zl]

nice sir please complete this series

[@sarkarsubhadipofficial]

thank you so much sir ...take love

[@samrinsultana-qu7yf]

Thank you

[@chamodkaushalya3069]

Thank you sir♥ love from srilanka🧡

[@ranjankhatu]

Thank you

[@shanicekanana371]

Thank you so much

[@jeremiahkairu1228]

Please do a vedio of this question The set A=[0,1) of the metric space (X,d) where X=[0,2) and d is the usual metric is an open set

[@rohitbiswaslit93]

Thank You Sir!

[@akashsingh207]

Thank you sir 🙏

[@shashank_kishore_]

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[@algorithmo134]

Please include sequences and series, differentiability sir. Thank you sir!

[@ranjankhatu]

Ok

[@MuradAli-h8c]

Every metrix space is a normal pr video upload kr dy plz sir ji

[@urduadab5488]

But metric and metric space are two different mathematical objects as per the book introduction to topology and modern analysis by GF Simmons

[@ranjankhatu]

Metric is a function from a set to set of non negative real numbers which satisfies certain properties. Normally we denote it as d. And metric space is a set X together with that metric d. And we denote it as (X,d).

[@thenewdimension9832]

Sir which book i can follow with these videos

[@ranjankhatu]

@@thenewdimension9832 book by Pawan Jain and Khalil Ahmed

[@imraanqadri701]

Sir ...... students will clr NET exam easily

[@rohandrawing236]

Metric spaces are needed for wbcs maths optional

[@onlyhead9251]

Thanks for the topic

[@Asadkhan521-f7d]

Sir please explain X cross X->R what is R here is it real numbers including negative numbers? Or positive R 0-> ♾️

[@devathibiksha5146]

Positive real numbers

[@punyabratamaity1711]

sir plz continue the metric space videos....

[@ranjankhatu]

Sure. I am going to cover Continuous Functions, complete Metric Spaces, compact, Connected and proofs of various results.

[@punyabratamaity1711]

@@ranjankhatu thanks sir❤❤❤

[@algorithmo134]

@Ranjan Khatu Your teaching is amazing. Please also cover all real analysis videos. Subscribed!

[@algorithmo134]

@Ranjan Khatu Your teaching is amazing. Please also cover all real analysis videos. Subscribed!

[@ranjankhatu]

Thank you

[@senpaidawwwggg]

sir will you prepare course on discrete mathematics ???

[@ranjankhatu]

I am working on continuous function right now

[@senpaidawwwggg]

@@ranjankhatu okay sir, and after that?
Please sir

[@senpaidawwwggg]

@@ranjankhatu and your teaching is next level sir , i circulated your channel in my whole College

[@ranjankhatu]

@@senpaidawwwggg thank you

[@ranjankhatu]

@@senpaidawwwggg next playlists will be on
1. Connected metric space
2. Residue Theorem and it's applications

[@chijiokecharles4422]

How do I find the lecture 2?

[@ranjankhatu]

Go go my channel and to to playlist of metric spaces. You will get all videos there.

[@ranjankhatu]

Link of playlist
ruclips.net/p/PLTolGH4M6l9hcJegzujRUq_bnwqlzqcxc

[@sabithashaji9133]

Which text book sir?

[@ranjankhatu]

Khalid Ahmed

[@Komalsharma_02]

Can anyone plz tell... This is for bsc or msc course ?

[@ranjankhatu]

@@Komalsharma_02 b.sc. Mumbai university. But if you have same syllabus for m.sc. then you can benefit of these lectures

[@Komalsharma_02]

@@ranjankhatu okk.. Thank you

[@atulnaruka4341]

Sir ye csir net ke liye sufficient hai kya

[@ranjankhatu]

All basic concepts and many problems are covered in the playlist. But try for solve last year papers also

[@atulnaruka4341]

@@ranjankhatu sir mtlb definition jitni aati h sari clear hai is csir net exam peruse

[@ranjankhatu]

@@atulnaruka4341 yes

[@MathsByAmitKushwaha]

kya ye complete matric space hai

[@ranjankhatu]

No. This is simply a metric space. I will start to prepare videos on complete metric space within few days.