16. Cauchy's Theorem and Cauchy's Integral Formula | Problem#1 | Complete Concept

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Topics covered under playlist of Complex Variables: Derivatives, Cauchy-Riemann equations, Analytic Functions, Harmonic Functions, Complex Integration: Cauchy Theorem, Cauchy Integral Formula, Taylor and Laurent Series, Singularity, Residue.
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[@mamadetaslimtorabally7363]

You are one of the best tutors! Thank you so much.

[@raiel-hawiyeh4785]

Why is it that I speak no Hindi and this is the best proof or teaching product I have found? Dhanyavaad

[@jarikosonen4079]

I think there is no convergence for |z|=1 case... if its integrated from 0+ to 2*pi- (to avoid including point t=0 twice and not even once) gives -i*pi (not -i*2*pi). If 0 point included the integral results is at -infinity... however limes case results is zero. The results possibly would be zero even this looks like -infinity-(-infinity) -case. I might guess results to be zero for 0 to 2*pi -case. But all the results I get are {-i*pi, 0, i*pi} depending how the limit is set, none -i*2*pi... If you integrate from -pi to pi (what should be same) results is zero, but the integral may fail to exist because of a vertical asymptote in the function. Second case |z|=1/2 the results seem zero.

[@thomasblackwell9507]

Thank you for putting enough English in the video so that I and others can understand it. Excellent video! Tough subject! I remember taking it in Advanced Engineering Mathematics 2 at the University of Arizona 30 years ago. It was a hell of a course!

[@himanshuchoudhary4185]

today is my exam and its the first time i am studying these things. Great explaination!

[@ManojKumarSahoo]

+himanshu Choudhary Good Luck

[@shubhamshakya6762]

Sir please upload the vedeos of conformal & bilinear transformation sir ur vedeos helps us alot 🙌

[@shantanubhattacharya4510]

Sir your engineering mechanics videos has helped me a lot in my final exam yesterday. thank you very much.

[@Akki420ish]

Can we apply Residue theorem for this type of questions?

[@malalodhi4529]

Thank you. So much sir ji ,🙏🏻🙏🏻 bahut achhe se samjhaya Aapne 👍👍👍👍🏻👍🏻

[@VaishnaviSindhu-mg9kq]

Thanks a lot sir we respect you and your time.thanks for uploading this usefull content.we wish you all the best

[@sadatlucas4045]

I dont understand the language spoken but ..u opened my mind bro....thanks

[@JF17thunder485]

Infinity level teaching

[@divyanshmishra8189]

How we determine that the point is outside the curve or inside the curve

[@anagabby4972]

Awesome! Your video helped me a lot with this topic that is driven me crazy! -.-' Trying to save the course! Thanks!!!

[@Mr_Bihari7]

Sir cauchy integral theorem or formula dono hi bahot ache se samajh me aa gya ha.... Sir aap bahot acha padhate ha sir ab koi doubt nhi ha is topic me

[@kushagrasonkar]

You have a very magnetic voice that makes one wanna listen to you.

[@ManojKumarSahoo]

Good Luck brother

[@alliswell2246]

sir....u made my day...thank u very much

[@OneTrueBIue]

Great teaching and circle drawing skills

[@vandanbhanderi5232]

Thank you sir, this video very useful for me. Again thankyou

[@dmadhav4867]

super sir u are legend

[@soumyajitnaskar8300]

sir thank you so much for these videos. Helped a lot during my exams :)

[@rushikeshbansode9756]

Very great explained.... Mistake when we take z= 1/2,we are not squring it... It is my doubt if i am wrong i apologies

[@midmid17]

we are squaring it ... but equation of circle is X^2+y^2=r^2 where r is the radius

[@souvik.fingtore]

OSM sir Wonderful expansion ❤ U must have millions of subscribers ❤😊 Love from Jadavpur University (West Bengal) sir 🌝✨👑

[@Ngozi_teaches_math]

Can you explain in English please 😢😢😢

[@Userrr248]

Great explaination🤩

[@emonkhan-yb7ts]

tnx for the video. it helped me sooo much.

[@Rsrstudypoint]

Thank you so much Sir

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your explanation is clear and your video can be my asmr option

[@ritikyadav1536]

Very nice sir very important topic

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Kal exam h Or mein ye poora unut dekh raha hoon, thank you sirrr you are GOD FOR US🙏🏼🥺✨

[@msridharyadav4388]

Thank u so much sir, taking excellent question

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sirra laya pya sir tuc aa topica aala ... thanks.. thode krke kyi glla smjh aaiya

[@rajant2695]

Sir great explanation thank you sir. Nice handwriting 😁😍

[@ritikdalakoti3738]

true he is actually srk.

[@rohitmahanwer3401]

Sir my doubts all clear thankyou sir

[@mohdnajeeb333]

Also watch my vedio Cauchy's Integral Formula (proof) on my Channel Please Subscribe My Channel #KZbinrStudy

[@AdnanKhan-vq4dx]

Great Explanation

[@Madmaxkkb]

|z-a|=r a--> centre r--> radius

[@shakilmosharrof_1994]

Can't express how much easier it has become due to such nice explanation SIR

[@sanjaysinghsardar9596]

I m watching ur video regularly and it is helful for exam from jharkhand kolhan university and next month is my exam so thank u sir for making such type videos ❤❤ and i hope all good.

[@jadux2]

Double👍 from jadux2 For drawing perfect circle at first🎉🎊🤗😊

[@hrushikeshsalvi9243]

Thnks alot. It is made easy.

[@sambaphysics74]

great explanation ji. thanks for the video.

[@nileshpandey4079]

Great explanation

[@farhansarguroh8680]

How good is this😭✨

[@himanshuvishwakarma1879]

Sir bhut acha btaya hai apne. Agr aap na hote too mai kaisa pass hota ☺️

[@pradeepnishad770]

Very good manners to understand

[@scatteredbeats]

Sir radius for 2nd case would be 1/4 ri8?

[@midmid17]

equation of circle is x^2+y^2=r^2 where r is the radius , so radius is 1/2 only

[@loveindia7304]

=2πi×f(a) kaise liye ___ [ 2nd me =0 ] kaise

[@JohanJohancancino]

Excelente explicacion mi hermano

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Sir linear progarmic ka video KZbin m kaise milega bta dijiye plzzz

[@Gaming-rz6ui]

This video is to much helpful for me

[@carped18]

Bahut bdhia sir 🙌👏🔥

[@sakibemon9004]

Second one was not cauchy's theorem...it was cauchy'-goursat theorem

[@priyankagaur8597]

Sir agr 2nd b inside hota to kya last me dono 1nd and 2nd ko jod dete

[@deepikasaxena635]

your explanation is the very easy👍

[@uselessprathvikkamath5462]

Thanks you got me 7 marks before 20 mins of exam

[@Thomas-vt6fe]

thanks for this amazing video .....waiting for more such videos

[@aravind3455]

Thank you sir

[@nigamanandamohati8141]

sir it is not believe when i saw this video.all of my doubts clear after showing this video

[@chaitanyamarulkar2698]

I want to meet u sir such a great explanation

[@ghoshbaishali3917]

I have a problem- By CIF evaluate [e^z/ (z+1)] ^2 where |z|=2

[@anilkumar.r4691]

Thank you sir your way of explaining fantastic

[@mls6604]

U R great Sir, thank U so much

[@JahulKhan-oj4np]

Sir u explain very well. I like the way u teach

[@sejankhan]

thank you so much

[@farhakhan4052]

Thank you thank you thank you........so much sir...🤩🤩🤩🤩🤩

[@learngrowentertain2510]

Well explained Sir. Thank you.

[@mohdnajeeb333]

Also watch my vedio Cauchy's Integral Formula (proof) on my Channel Please Subscribe My Channel #KZbinrStudy

[@tanvithakur5806]

thanku sir

[@BhojendraThakre]

Thanks sir......

[@vallahalla8605]

Thank you

[@raghavendravishwakarma6887]

Nice explanation sir

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sir please real analysis pr bhi kuch videos bnae

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Nice explantation ...tq keep it up

[@tusharsuthar756]

Sir apke video bhut ache h

[@reenagupta9045]

Thanks sir

[@varsharatre7672]

I very much like ur videos

[@saurabhkharpatil]

Radius for the second case should be 1/4

[@ALEX-gr7dx]

1/root 2 .

[@golmolenahisidhibaatein6180]

Hello sir mene ye first time ap k bht vdio dekha he aur mujhe samj b aaya he likin ek ques. puchana he isi vdo se. 2 condition me :a=1/2 hoa na.hum isse le k kyu solve nahi kare. lzl k formulae use karsakte na. a=1/2 k saath. second condition me a=1 ko kyu respect karray? please rply

[@renukaatri1206]

Sir kyonki singularity point z=a=1 h , jo fixed h pure question k liye , radius chane ho rha h bas , ist part me |z| =1 pucha tha and 2 nd part me |z | = 1/2. , I hope aapka dobt clear hua

[@Thomas-vt6fe]

sir r u having any classes in mumbai?

[@ManojKumarSahoo]

+siju thomas no mam

[@amitsarode9106]

How a can be centre since it is single value

[@davisnganga6266]

Thanks

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Thanks sir for making vedio

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looks like YOu have great pen. I'm jealous

[@samirandeka7013]

Thnkx sir

[@saharkhan9186]

Sir g koi esa question solve kr de jis ka center ( 0 1 ) ho.

[@ashishyadav9274]

kya aapki ye notes mujhe mil sakti hain............

[@ananditapandey3914]

thank youuu

[@iffahraheel5688]

You’re an amazing teacher!

[@hitendrakumar2037]

Thank u Sir video ke liye

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Bahut acha sir

[@reja9349]

u r great sir

[@ananthukrishnan9236]

Really helpful

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thank you OK God bless you

[@ILaya-s1i]

Tq sir

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Nice guru jiii

[@ridwanbinsarwar9712]

thanks sir

[@miss.foodie8363]

very good explanation...tq sir

[@marufmonem]

Great explanation!!

[@shaquibkhan2917]

thnxxx alot sir for this

[@golmolenahisidhibaatein6180]

ky5a ap sylow 1st 2nd and third theorm pe vdo upload karinge.

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waoh...nice vidio sir

[@gouthamb.l6967]

Thank you. This was helpful!!