Sir' ur expliantion of "if a function is nt differtiable at every pt of domian thn it is meaningless to talk abt its singular pt " by GATAAR Example is epic sir very nice . Example ......
Sir, the concept of singularity you described and the example of swimming pool is wonderful..👌👌 But in the definition you have mentioned that 'there exists delta neighbourhood of the particular point in which the function is analytic somewhere inside but not on the exact point'..This is perhaps not correct..Because for a singular point if you choose any neighbourhood of it there will be regular points of the function in it and at the exact point the function will not be analytic..So, for all such neighbouhood it will hold true..Not just for one such existing delta nbd..Please verify..🙏🙏
Thank you sir..🙏 I mean for a singular point all the nbd's of it got regular points and the point itself being non-regular..All the nbd's sir, not just one..
Sir why are you start batch on you tube for cssir net December 2018....we all are really need it....i raelly grateful to you for that......please sir!!!🙏🙏🙏
Sir Aapki Singularity ki definition says: THERE EXISTS AT LEAST ONE DELTA such that f is analytic at some point in the delta nbd - but iss se toh gadbad ho jaegi... if suppose f is analytic at only a single point in [0 3], say z=2 .. toh 1 ka i'll take delta=1 vala nbd, 1.5 ka i'll take delta=0.5 vala nbd, 2.5 ka delta=0.5 nbd, and so on...and so all these will become singularities because all of them will have a nbd in which f is analytic at some point (i.e. z=2)... ye toh gande naale mein ek mineral water ki bottle jaisa ho jaega.. shouldn't the definition say: f is analytic at some point in ALL THE NBDs??
Haha.... Nice explanation.. but u take wrong assumption that suppose f is analytic at only one point. Bcoz function analytic hua to wo single point pe hota hi nhi.. uncountable point pe hota hai
Sir it will be more helpful if you make videos on the important theorems of complex analysis because that part has more importance and basically how to tackle with those type of problems..? Thank you sir
a point is said to be regular point of function if there exist a nbd of a point where function is differentiable everywhere in nbd. And Singular point is where function is analytic somewhere in the nbd of that point but not analytic at point.
sir ek video in theorems per banaiyega Jo f(z) ke constant hone ko aur entire fun per ho jinka direct application aata Hai wo tips and tricks.please jab bhi aapko time mile.
Sir ap nia bola ak point domain ka os ko hum singular point boligia agar at least hamia ak b neighbourhood mila jismia function analytic hia somewhere liakin os point pia nahi hona chia liakin mia nia Ponnusamy book pia diakha wo likh raha hia ak point domain ka osko hum boligia singular poin if in every neighbourhood of that point function must be analytic somewhere liakin os point pia analytic nahi honi chia wo their exist at least one neighbourhood nahi bolraha hia wo bolraha hia every neighbourhood. ...
Hlo sir, mane apse bartley pdf ke liye req ki thi, I got the pdf and pdfdrive.com se maane download krli thi.. Sir now I wana ask u that ma ise sara pdhu ya exercise hi solve kr lu?
Sir ! Agar C-R equation necessary condition he to fir , saare book me esa kyun likha hua he ki the function is continuous and Sattisfy CR equation hence analytic. Continuity ka kya role he sir ? Sir please thoda time nikaal ke reply kijiye ga !🙏
Actually apne Jo bola hai wo kisi book me hai hi nhi. u and v satisfy CR equations and Partial derivative of u and v are continuous then f is analytic aisa hai
@@RahulMapariBasicMaths ji sir meraa kehne ka matlab exactly wohi he jo aap bol rahe hen. Lekin mera doubt ye he ki jese f(z)=u(x,y)+i v(x,y) he to c-r equation to iss fact se derive hue hen ki "complex plane me limit koi bhi direction se approach kar sakti he" to fir c-r equation sufficient condition kyun nahin he ? Partial derivative ka continuity kyun chahiye ?
Sir 1) not analytic at z0 => z0 not regular pt.=>infinite no pts pe differentiable nahi hain in the nbd of z0.to fir keise z0 ke nbd pe somewhere analytic hain? 2) pichle video pe aap bola tha koi 1or finite or countable pt pe ager analytic nahi hain to puri domain pe analytic nahi hoga...To ea to contradict kor raha hain...
Aapne dono result galat le liye. Aisa nhi hai ki z0 pe f analytic nhi hai to wo infinite point pe differentiable nhi hai. Exam f=1/z Sirf zero Hi regular point nhi hai Baki sare point pe differentiable hai
If z0 is regular point then there is atleast one nbd of z0 such that f is differentiable everywhere in nbd. But it doesn't mean if z0 is not regular point then it is not differentiable at infinite points. This is only one way statement.
Aap 1/z example we clear kar sakte Ho. Zero is not regular point but Iske nbd me zero chodke sare point pe function differentiable hai. Matlab ek bhi point aapko bhi milega ki function differential na Ho fir bhi zero regular point nhi hai
Sir thank you so much
Ur teaching methods is very unique others
I am huge fan of your teaching method
Thank u
Yes ,rahul sir is right; " mathematics is a language "
Very nic explination sir
Carry bag analogy was wonderful🔥🔥🔥
Really you are a quality teacher..
Good explanation sir 🙏 thanks
Thanx a lot sir ....ur method of explanation is owsm
Thnkuu so much sr concept clear👍
very nice explanation👍👍👍👍👍
Sir aap bahut achhe se explain krte ho. Thank you so much sir
Thank you so much for detail explanation.
Very nice Sir.
thank you very much sir ji
Good ,your method of explanation is very good .thanks
Thanks sir.... Bahut din se boubt tha ab apne clear kr diya.. Thanks
Very nice explanation sir
fantastic example
i think iss se acha explanation nhi ho sktaa
Sir' ur expliantion of "if a function is nt differtiable at every pt of domian thn it is meaningless to talk abt its singular pt " by GATAAR Example is epic sir very nice . Example ......
Thank you
Sir aap teaching kamal hai
my gate exam is on 9th...GUTTER example awesome.....!!!
Nice video 👍
👌thanks sir
Sir, the concept of singularity you described and the example of swimming pool is wonderful..👌👌
But in the definition you have mentioned that 'there exists delta neighbourhood of the particular point in which the function is analytic somewhere inside but not on the exact point'..This is perhaps not correct..Because for a singular point if you choose any neighbourhood of it there will be regular points of the function in it and at the exact point the function will not be analytic..So, for all such neighbouhood it will hold true..Not just for one such existing delta nbd..Please verify..🙏🙏
Thank u. And
There exist means at least one.
Thank you sir..🙏
I mean for a singular point all the nbd's of it got regular points and the point itself being non-regular..All the nbd's sir, not just one..
Nyc vedio👍
Sir why are you start batch on you tube for cssir net December 2018....we all are really need it....i raelly grateful to you for that......please sir!!!🙏🙏🙏
Plz sir if possible
Make many more videos and update complex analysis topics
sir complex integration pr bhi bnaiye
Plz sir, let the explanation be in English so that we can understand the concept very well. Thank you.
Ok. I have uploaded all this concept in English language also.
Sir Aapki Singularity ki definition says: THERE EXISTS AT LEAST ONE DELTA such that f is analytic at some point in the delta nbd - but iss se toh gadbad ho jaegi... if suppose f is analytic at only a single point in [0 3], say z=2 .. toh 1 ka i'll take delta=1 vala nbd, 1.5 ka i'll take delta=0.5 vala nbd, 2.5 ka delta=0.5 nbd, and so on...and so all these will become singularities because all of them will have a nbd in which f is analytic at some point (i.e. z=2)... ye toh gande naale mein ek mineral water ki bottle jaisa ho jaega.. shouldn't the definition say: f is analytic at some point in ALL THE NBDs??
Haha.... Nice explanation.. but u take wrong assumption that suppose f is analytic at only one point.
Bcoz function analytic hua to wo single point pe hota hi nhi.. uncountable point pe hota hai
Sir, bilinear transformations aur conformal mappings ke upor videos upload kijiye, please.
Ok
Thank you sir
Sir app ki bilinear transformation ki video nahi he kya ???
Hello sir, kya aap coaching dete hai???
sir class super.we are from south we don't know hindi .english is better
Sir it will be more helpful if you make videos on the important theorems of complex analysis because that part has more importance and basically how to tackle with those type of problems..? Thank you sir
I think this topic is most important bcoz all theorem and results depend on it
Yes sir I agree but if you have time plzz make those videos...its a humble request sir
Ok
@@RahulMapariBasicMaths G pls sir ...
best explanation sir thanks
Thanks
NICE EXPLANATION THANK YOU
Sir ji namskar, What is basic difference between regular point and singular point? I'm confused with these terms.
a point is said to be regular point of function if there exist a nbd of a point where function is differentiable everywhere in nbd.
And
Singular point is where function is analytic somewhere in the nbd of that point but not analytic at point.
Sir pls analytic function pe aik or video bnaye...with 5 to 10 examples ..more clearly
Is there any course under your guidance?
No. But I am planning
@@RahulMapariBasicMaths ok Sir
Superb video...
Thank u
Can u give an example of a function in which singular point becomes all Complex no. ?
Such a function does not exist.
@@RahulMapariBasicMaths Thanks sir.
sir how to find singularities of function in rational form? for example :1/1-x ?
Follow the lecture series on complex analysis.
@@RahulMapariBasicMaths thank u sir
Nice video on complex analysis, Sir pls make a video on branch point
Thank u and will try
nice video
Thank you so much
nice
Pls suggest some books about singularity.... Good concepts from your class..
H S kasana,
Ponnusammy
Purabi Saud
.
Hi sir I m lakshmi koppa.mera dout he kounsa book refera karleya for previous questions paper and answers ke liye. Please tell me sir
sir ek video in theorems per banaiyega Jo f(z) ke constant hone ko aur entire fun per ho jinka direct application aata Hai wo tips and tricks.please jab bhi aapko time mile.
Sure. Thanks for suggestion
Sir... Could you explain the terms used in abstract and linear algebra topic Wise ?
Yes. But I m taking random topics and important
Sir thanks a lot 😊😊
Sir ap nia bola ak point domain ka os ko hum singular point boligia agar at least hamia ak b neighbourhood mila jismia function analytic hia somewhere liakin os point pia nahi hona chia liakin mia nia Ponnusamy book pia diakha wo likh raha hia ak point domain ka osko hum boligia singular poin if in every neighbourhood of that point function must be analytic somewhere liakin os point pia analytic nahi honi chia wo their exist at least one neighbourhood nahi bolraha hia wo bolraha hia every neighbourhood. ...
Pl do videos in English. Because south Indians.also watching. They don't know hindi theory not understand but problems solutions. Ok
Ok
IN English
Sir jo mene comment kiya tha , us topic ko mene clear kr liya he.
Good morning sir kya aap mughe bata sakate hai how do prepare jrf
jrf net
Same que
Same question same paper.
Rahul Mapari
Ok sir....sir plz linear nd real analysis k topic wise concept kra do..starting se
For dec 2018 net exam sir
Hlo sir, mane apse bartley pdf ke liye req ki thi, I got the pdf and pdfdrive.com se maane download krli thi.. Sir now I wana ask u that ma ise sara pdhu ya exercise hi solve kr lu?
Why we say f(z) is function why not only f
Ab singularity samj ai.
Oh.. thank you
Sir g tanz entire function kyo nhi h
Bcoz it has singularity at z= (2n+1)π/2
BALLTAOB
Sir padhta km bata zeydha nhi keru or har word ko repete nhi keru 😊
Sir apka what's app no milega kya,sir please help
Sir ! Agar C-R equation necessary condition he to fir , saare book me esa kyun likha hua he ki the function is continuous and Sattisfy CR equation hence analytic. Continuity ka kya role he sir ?
Sir please thoda time nikaal ke reply kijiye ga !🙏
Actually apne Jo bola hai wo kisi book me hai hi nhi.
u and v satisfy CR equations and
Partial derivative of u and v are continuous then f is analytic aisa hai
@@RahulMapariBasicMaths ji sir meraa kehne ka matlab exactly wohi he jo aap bol rahe hen. Lekin mera doubt ye he ki jese f(z)=u(x,y)+i v(x,y) he to c-r equation to iss fact se derive hue hen ki "complex plane me limit koi bhi direction se approach kar sakti he" to fir c-r equation sufficient condition kyun nahin he ? Partial derivative ka continuity kyun chahiye ?
Because there are some functions which satisfy CR equations but not analytic.
Sir
1) not analytic at z0 => z0 not regular pt.=>infinite no pts pe differentiable nahi hain in the nbd of z0.to fir keise z0 ke nbd pe somewhere analytic hain?
2) pichle video pe aap bola tha koi 1or finite or countable pt pe ager analytic nahi hain to puri domain pe analytic nahi hoga...To ea to contradict kor raha hain...
Aapne dono result galat le liye. Aisa nhi hai ki z0 pe f analytic nhi hai to wo infinite point pe differentiable nhi hai. Exam f=1/z
Sirf zero Hi regular point nhi hai Baki sare point pe differentiable hai
If z0 is regular point then there is atleast one nbd of z0 such that f is differentiable everywhere in nbd. But it doesn't mean if z0 is not regular point then it is not differentiable at infinite points. This is only one way statement.
2) Ye Maine kabhi bola hi nhi. Aap ne galat samajh liya Aap Firse Suno use.
To sir z0 is not regular pt is ka definition keya hain ager us pt ka every nbd pe every pt pe differentiable nahi hai to?
Aap 1/z example we clear kar sakte Ho. Zero is not regular point but Iske nbd me zero chodke sare point pe function differentiable hai. Matlab ek bhi point aapko bhi milega ki function differential na Ho fir bhi zero regular point nhi hai
Sir thanks a lot 😊😊