Complex Analysis: what is an analytic function? 

I am really enjoying your complex analysis series.

hey :)) great video. i believe there are some typos! 5:05: fifth line :u(x_0, y_0) + iv(x_0, y_0) instead of u(x_0, y_0) - iv(x_0, y_0) 12:45: second line - i du/dy instead of -i dv/dx

Can't wait for hyperbolic trig functions...hope they will come soon

Excellent presentation … but I suggest the pace be a bit slower to avoid making some minor errors that could spoil the final results … 🌴🌿

Great video! 🎉🎉 Please, make one on analytic continuation!!

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hi maths 505 thanks for this knowledge.... i wanted to ask something... the 2D complex plane in mathematics is obtained by duplicating the x axis and rotating it at an angle of 90 deg, thus we get the real and imaginary axes.... but does there exist a 3D plane as well? can we add another axis to create the 3D plane? if so, then what could it represent? maybe : (a) + (b) i + (c) m , where m is another unit like i? can we define it so as to make division by zero easier to comprehend? just like i was invented to make sense of sqrts of negative numbers...maybe we can define it like : m = 1/0 and make use of it like i ..... thanks

how did u take to finish complex analysis course🤔