Complex Analysis - Cauchy's integral formula in Hindi (Lecture 6)
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- Опубликовано: 20 сен 2024
- This video lecture " Cauchy's Integral Formula in Hindi " will help Engineering and Basic Science students to understand following topic of of Engineering-Mathematics:
1. concept of cauchy's integral formula
2. some useful results/consequences og cauchy's integral formula
3. three solved questions.
soon we will upload next video.
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Sir there should be a minus in between the integrals for 2nd example and ans should be 6 pi i
madharjaat bhagwaan kbhi nhi hote hai.....................
Yes ans is 6πi.....
yup
right bro
Yes ans will be - 6 pi i
Life is short. So use settings to speed up the video and watch it at 2x. ;)
Bilkul shi
Only rule apply in study
I am seeking 2.5x.
I do the same
@@hemantchaturvedi36 😂 2.5
I never saw a MATHS teacher who teach with patiently, peacefully and easily like you teach sir... Thank you sir for always being there.
With the help of your videos i passed my VECTOR CALCULUS exam im BSc. 😆
Sir you have very adorable voice and very attractive personality. I don't have any fear of exams only because of you. Lots of love.
thank u very much...............u r real hero in this field.
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sir you are best teacher of online classes....sir i want to know the ML inequality in this complex section...can u prefer me what should i do???
u r best sir
hi did u get any success regarding ML inequality?
@@BhagwanSinghVishwakarma sir I think there is mistake of "+" at 28:45
now its 4:18am.. tomorrow is my maths 3 exam.. and this video helped me completing Cauchy's theorem in 15 min... and now I have a fixed marks of 4-5 of this sum.. sir I'm really thankful... thanks a lot.. :*
what a teaching sir, really amazing .....before watching this video it was looking just out of my understanding but the way you have taught it looking so simple. I am really get impressed. Thank you very much
sbhi log agye master ban ne ...bc kuch der phle tk tumhe cauchys pta b nhi thi abh jb seekh li abh galtiya nikal rhe ho...after all sir b insaan hai glti kis se nhi hoti ...you should respect...ki sir ne humare saath knowledge share ki ..matlabi log..thank u sir thank u so much ..meri btech mai apka bhut bda hath hai..god bls u ❤️
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Jai Hind, Vande Mataram?
Sir in second question answer will be 6πi. you use' + 'instead of '- ' in between....
thanks for amazing content
Ok
I was stuck in Cauchy's theorem and formula for some days. now i can solve all the problems in the book. thank you very much...
tym sir
Dear sir, in the last question, singular point z= -i lies at the boundary of the given circle, not inside the circle. In this case, I think z = -i would not be considered as a singular point for a given c. Thanks for the awesome lecture.
the best explanation i ever get is from your videos.your videos give me strength to study and the knowledge you give is very valuable.you are the best teacher with best explaination capacity.thank you sir for your valuable videos.
sir apne to maths ko hlwa bnake rakh diya h... seriously ur way of teaching is awesome...i must tell u ur r 2 gud
sir aap jo bhi chapter leto ho, us chapter ke extra example solve kar ke dikhaye plz .
extra problem se hamari queries kami hogi.
Thanks sir...
thanku so much sir.ur lecture always help me alot. and u r the best online teacher of maths.👍
Sir you are the best...... I have been clear all my maths 1,2,3,4 because of you #thank you sir 😊😊
thanx alot sir ap ne meri mushkel asan krdi... apka teaching style buht hi Acha aur simple hai... thanx
thank you so much sir, because of you i was able to clear my first sem engg maths exam and now again with your teaching, i am able to understand topics of sem 2 for exams, may god bless you!
28:44 there should be minus in between two functions.
i was looking for this comment 😂😂
@@yashugautam5062 haha.. 😅
u r the best teacher of engg mathematics ,by God grace whatever u want may achieve
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Bhagwan Singh Vishwakarma
Thank you so much sir 🙏🙂🙂 you are the best teacher in my life .... Aap Jo bhi pdate ho vo sab easyly smjh aata h 🙂🙏🙏
sir aaj tak my aapka jaisa teacher nahi dekha. amazing.....
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Sir in the second example for cauchy's integeral there is a calculation mistake. The answer comes out to be 6(Pie)i and not 18(Pie)i.
you are right
Answer is 6 pi i
Ryt broo its 6pie i
Sir has written positive sign in 2nd que at last of the solution . but there must be a neg. Sign this is the reason the ans has obtained wrong which must be 6 pi (i)
Wahi to phir 6 pi I kaise hoga
@@mishkamishra6300 6 pie. i hi ans. aayega 18pie i ,wrong hai apka que 18pie. i , kaise? hona chahiye.
12pie i -6pie i=6pie i
Act of teaching is great which i don't find anywhere
best teacher in the world
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Hamesha Khush Rahiye
जय हिन्द, वन्दे मातरम्
sir Iam very thinkful to you for helping poor student God bless you so I pray to you yor health is always good
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Hameshs Khush Rahiye
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Bhagwan Singh Vishwakarma
in this vedio there is 2 mistakes in problem no. 2 ....
Thanks sir u made complex number so easy for me.... i was always afraid of this topic but after watching all your lectures i was able to solve the problems regarding this toipc..... THANKYOU VERY MUCH SIR U R THE BEST.......
exceptional
gaining knowledge is becoming now easy
Sir you don't need any feedback,, you are just awesome teacher ,to judge you is like your insult
Thankyou so much sir apka bht bht dhynavaad apne itte ache se smjhaya sir🙏🙏
And sir your are one of the best teacher on youTub your teaching style is Excellent 🙏🙏
Sir you are doing great job..
Thanks for making videos.
I am IIT kharagpur student and you are teaching better than our Prof.
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Jai Hind, Vande Mataram?
sir i love your way of teaching.
please make videos on proof of cauchy -goursat theorem.
Sir you are the best 👍💯
You elaborate very well 👍
I watch all your video and i m able to learn topic very easily
So thank 🙏💕you so much sir
And keep it on 🔛
u really made this complex mathematics very easy to understand.thanq sir
i have a one queation from inverse laplace transform ie
show that LAPLACE INVERSE(s square upon s to the power four+4a to the power four=1upon 2a(coshat.sinat+sinhat. cosat)
mujhe apka padhaya hua topic bahut ache se samajh me aa jata hai sir I am very happy
Sir wo 1/(z-1)(z-2) Ko kaise break Kia kuch samajh nahi paya ......sorry I am little weak in mathematics
.thank you for this great contribution for us. becoz most of the engineering students are in need of it..thank you very much
There will be minus sign between the integrals in the 2nd example which u have explain...whose ans u have written is 18piei
This is adnan sir and i am the student of M.sc(mathematics) from islamia universty bahawalpur pakistan your teaching is so effective sir i am sufferening from a problem about sylows theorms and also in ring theoery sir plz guide me .thank u
Thank you sir . Your lecture is very esay to understand, and very helpful for us.
Aap sach ka bhagwan ho....teen ghante baad exam hai......thank you
I am the student of NSIT,Patna.Sirr,You tought us in Amazing way.
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Hameshs Khush Rahiye
जय हिन्द, वन्दे मातरम्
thanku so much sir ...for clearing the dought over the cauchy's integral formula.....tq so much sir
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may god bless you for what you did for us ... really appreciable ..you are the only savior of us before the exams
Hello sir, could you please explain in the third example how we can find the center of the circle I z-i I=2 ?
| x + iy - i | = 2 , | x + i( y - 1 )| =2 , then you get x^2 + ( y - 1 )^2 = (2)^2 , centre ( 0 , 1 ) and radius is 2. Hope you Understand 🙏🏻
@@siddharthtyagi9736 thank you I had same doubt now you clear it
lecture is awesome....there is a problem regarding this cauchy's integral formula...how can we use it in multi connected domain.
Thank you very much...sir...it is very use full......it is great work and superb job....once again thanks for help...
Very nice way of understanding love learning
Sir first salute to you.
You are doing really good sir,you help lots of student by this channel.
Your dedication toward this is inspiration for all of us,the way you teach is incridable.
###sir ap jo pointsz=1,2 graph pe plot karray wo according to given question plot karna ya phr genrl Graph ki respect me karna.
FOR EXAMPLE in second problem:
ap phle singularity points bataye z=1 and z=2 with respect to genrl graph
but according to the given question
first z=1 is inside the 'c' and other z=2 is on the 'c' because radius r=2.
pls rply sir pls
aise qus exam me aane wale he.
sir 2nd ex. mai aapne denominator ko seperate kiya aur likha 1/z-2 - 1/z-1.
lekin ex solve karte samay aapne dono ko ADD kiya.
thank u very much, I m a new viewer of ur video but it is really very simple way to understand that tropic, thank u
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Rgds
Bhagwan Singh Vishwakarma
Thank you for explaining it in such an easy way... Now i can solve sums from the book easily...
Sir me kaise or kitna thank u bolu
Or jitna bhi bolu shyada km hoga
Thank u so much sir ji..💐💐💐
all the best.
31:29 due to mistake -ve sign mistakenly written +ve sign thus correct answer is 6πi
Sir last question mei |z-i|=2 diya gaya hai
Toh fir centre of circle (0,1) kyun liya gaya
|Z-i| = 0
Z = i
& Z = x+iy
= 0+1.i
Centre = (0,1)
@@palaksingh1195 hi
@@AdarshKumar-ro1jz yes
@@palaksingh1195 are you in engineering
@@PrashVerse no m a b.sc. student
Let we have to find the integration of ZdZ at c where |z|=2...then we can write ZdZ=(Z^2)/ZdZ...it means it is singular at Z=0...then f(z)=z^2.so ans must be 2¶i*f(0)=0....hence integration of Zdz at c =0...this ans is right or not?
many many thanks sir for complex analysis vedios, pls prescribed a book for that I solve many problems
sir the point in the first question lies on the curve not inside the curve ....although its not gonna bring any change in the answer
yrr schi m dil se uh r superb helping .... people nyc work bro keep going
Tqe Soooo Much sir....You Really Teach very Effectively and soo simpl to gt understood...I Loved It..:)!!!
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at 28:46 video time it should be '- 'in place of '+ ' please reply!!! we can make a whatsapps group for the mathematical problems Q and answers! my whatsapp no is 8759191750
Bhagwan Singh Vishwakarm
absolutely fantastic sir.........sir keep solve much problems .....thanks
Sir In 2nd example you have to put the value of singularity in derivative of function but you put directly in function not in derivative
Apke padane ka tarika hi bilkool alag hai sir...jaldi samaj aa jata hai
Sir Your Videos Are Really Helping Me in Btech. Can You please upload videos on infinite series and reduction formula.
How do we know ki kab circle ka center (1,0) lena h or kb (0,1)???
Please help
yes, there should be a -ve sign so that the answer vil be 6pi*i
very nice video thanks for upload this video its very helpful to understand keep it up
Sir please integrate sin square z dz ,C from -πi along mod z =π to πi in the right half plane ..
Please describe all technicalities ...
Sir factorial 3 how it comes plz reply
Sir,u explain in a very nice manner....thank u
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Hamesha Khush Rahiye
जय हिन्द, वन्दे मातरम्
thank you Sir you cleared all of my doubts and one of the best educational video i ever found Thanks alot
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at 28:46 video time it should be '- 'in place of '+ ' please reply!!! we can make a whatsapps group for the mathematical problems Q and answers! my whatsapp no is 8759191750
hlw sir..
sir ye btayie theory types math means real analysis and alzebra math kaise solve kreee.... me and my frnds too confusee....
Best teacher in the world.
Sir Your Videos Are Really Helping Me in Btech thankyou so much
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, first time in you tube, i say thank u, thank u so much
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thank u sir you clear all concept one of the best educational video I seen
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Best best and the best teacher..
May u live long long and long sir jiii...
Thank u sir . Aapny hmaesha meri help ki hai. Agr university mein smj nhi aata to tension hi nhi rehta hai coz pta hai aapka zroor smj aayaega
nice videos plz check some errors in solving question. the way of expalining is very nice.
Please organise these lectures in serial order sir.Some of the lectures are not serialised that's why it is difficult to analyze which topic is to be studied after which.
You are doing a great work. Thank you for helping me with this.
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Hamesh Khush rahiye
Bhagwan Singh Vishwakarma
Sir how to know centre in case of modulus z =1 or i
u r real mathematician sir. thank for helping me
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Hameshs Khush Rahiye
Bhagwan Singh Vishwakarma
last vala main circle ka centre ka kya scene ha , can u explain?
instead of calling closed curve you can say contour in order to perform cauchy's intergral formula we must define a contour
sir in Q2 there should be -ve sign instead of +ve
Thank you very much sir for ur valuable time and good explanation sir 👌🙏
thanx sir...u r a life saver..wat a clear concept...
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Hameshs Khush Rahiye
Bhagwan Singh Vishwakarma
thank you sir, for giving infirmation, but I want csir net syllabus pls tell about the topics
sir ... ur lectures r jst awsm.... urs lectures r very helpful... thnk u so much....
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sir, please add video about riemann integral .
thanks for teaching us
sir, what happen when one pole is inside the curve & another is out side the curve of the given two pole?
THANK YOU SO MUCH SIR FOR EXPLAINING THE TOPIC WITH SUCH EASE
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Jai Hind, Vande Mataram?
Dear sir,
For the second problem , here seeing that the value of radius & the value of Z=2 are in same. Means points are on the curve. so please explain me properly & answer of the second one will be 6 pi i instead of 18 pi i.
Thanks
S. Chakraborty
he has taken + instead of -. so 6pi is the correct answer
Thank you very much.its really confused me .U have solved my problm as well as confusion
yes one point z =2 and also radius r =2 because lz-al=r
Great
sir
last wale example me centre value kaisa nikale ap.samj nahi aaya
if c:lz-5il=2.
z-a=r.,a=5i=5 means plot 5 on y-axis?
sir, if the singular point is on the closed curve 'c' then can we apply cauchys' integral formula for such a problem.