Mod-01 Lec-02 Analytic functions of a complex variable (Part II)

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This is amazing as even mathematicians would learn mathematics from a physicist! Thanks for this gift!

chinedueleh

We are fortunate to have teachers like you who explain the subject in an easy manner.

shifagoyal

I knew how to derive the Cauchy-Riemann equations by taking the "simple" derivative of f(z) in cartesian coordinates via the limit definition, but the way you did it by constructing a tiny complex vector element e^(i*a) was new to me, and a really illuminating way to demonstrate how strong the CR equations force analyticity. And all this in under 5 minutes! I'm excited to keep watching ☺️❤️

ozzyfromspace

A very nice lecture from a very intelligent educator...

eleanorc.macapal

After watching the videos of this man I realized that I never understood the math so well. Thank you so much for posting the wonderfull lessons ! Its hard to bealive that its all for free :)

sergiosebastiani

One who posses Basic maths knowledge of BSc level then this prof.lectures will be understandable and useful and excellent.

elamvaluthis

one thing is clear, a suitable cameraman is needed for such a video? Sir, is there any vacancy for a cameraman, then I can attend your class.🙂🙂🙂

debarshimajumder

That derivation of CR equation is really illuminating. Amazing.

Abhishek-hyxe

9 years later and this is still a gem!

Meghana_Nallamilli

nptel is doing a very good work to digitalise the education system

ASHUTOSHKUMAR-dpjl

Very nice explanation.perfection by hard work is seen.

elamvaluthis

23:20 academy award winning camera movement

Yashodhan

Thanks NPTEL to allow us to learn from this great man....

IftakHussain

Excellent talk. Many thanks to Prof Balakrishnan.

STohme

For anyone who is interested, here is a derivation I worked out for the equation at 3:09. It uses chain rule and the Cauchy-Riemann equations. Hope it's helpful!

linguinemirage

what's happen to camera in mid of this video, just stuck at one point.

abhideepkumar

The equation in 12:50 is inverted. The a_n+1 should me in the numerator.

fozymilograno

its all went above my head, sir u r awesome but i guess i dont have that good aptitute of maths

mohitkashap

The information it's go deep in my mind
Thanks prof

wdelsafi

Dear Sir, Your taylor's series is running from zero to infinity, so how can you find the inverse of it upto 'n'(finite), i.e the value of a_{n} what you have shown..???

mohammadasim

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