The shortest path to a solution of a real problem is through the complex domain. It has been some 20 years since I have had complex analysis and you have reminded me of its beauty through your lectures. I remember that in our class we have proved the fundamental theorem of algebra using complex analysis (every n-th order polynomial equation has exactly n roots), perhaps you could add something like this just to show the power of working in complex domain.
@@EigensteveYour channel is a goldmine! This morning I found more stuff that I’ll watch later. BTW, I’m wondering if you have any hints for me to deal with homotopic problems, based on the complex analysis videos you have made.
@@juniorcyans2988 That is great! Good question... I don't have any lectures on this, but some of the old engineering applied math textbooks might have material... maybe Courant and Hilbert or Simon and Reed... not sure, but I found these used for not too much.
Great videos....🙂 At first I thought it would be difficult but you made the complex analysis easy to understand. I watched all the videos in the playlist ...😀
Great lecture as I prefer worked examples to purely algebraic proofs. Why are a3 and a4 included in the calculation as they lie outside C? Are the always connected by narrow pathways (which cancel)?
It is interesting that if he includes conformal mapping this will be a primer for different S-Matrix based ideas for current topics in high high energy physics.
