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Apr 22, 2021 at 21:00 comment added Alexandre Eremenko @Tom Copeland: Needham book does not cover Riemann surfaces. And in general I do not recommend Needham's books to mathematicians to study mathematics, though they can be somewhat entertaining.
Apr 22, 2021 at 20:07 comment added Tom Copeland Also, Visual Complex Analysis by Needham.
Apr 22, 2021 at 4:04 comment added Tom Copeland See also mathoverflow.net/questions/19649/… and Conformal Mapping on Riemann Surfaces by Harvey Cohn.
Apr 22, 2021 at 0:08 history edited Alexandre Eremenko CC BY-SA 4.0
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Apr 22, 2021 at 0:06 comment added Alexandre Eremenko In my answer, I mention the two books known to me that do this. (In addition to the classical book by Klein). Of these, only Klein has been translated to English, I believe.
Apr 21, 2021 at 23:08 comment added Tom Copeland Fluid and air streams, heat distribution, electric potential were investigated via complex analysis by Riemann, Klein, and others--Klein, in his book I note in the other MO-Q on RR. Do you know of additional books that present Riemann sufaces in these ways? Does Springer in Intro to Riemann Surfaces do so? I've seen other older books that have done so (and once had such a book that I left in Japan), but I can't recall the authors.
Apr 19, 2021 at 9:33 history answered Alexandre Eremenko CC BY-SA 4.0