Complex Analysis L04: The Complex Logarithm, Log(z)
This video introduces the complex Logarithm, Log(z), as the inverse of the complex exponential. The Logarithm is a very important function that has infinitely many values in the complex plane. We also discuss branch cuts, and principle n-th roots. @eigensteve on Twitter eigensteve.com databookuw.com This video was produced at the University of Washington %%% CHAPTERS %%% 0:00 Defining the complex Logarithm 11:58 Plotting the complex Logarithm 16:26 Full formula for Log(z) 18:54 Recap/Summary 21:37 Branch cuts 23:12 Infinite spiral staircase of solutions 25:28 Teaser: Cauchy Integral Formula
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