Complex Analysis - The Complex Logarithm, Log(z)

Explore the complex Logarithm, Log(z), in this 28-minute video lecture on complex analysis. Delve into the inverse of the complex exponential and understand its significance as a function with infinitely many values in the complex plane. Learn about defining and plotting the complex Logarithm, discover the full formula for Log(z), and grasp the concept of branch cuts. Visualize the infinite spiral staircase of solutions and get a teaser on the Cauchy Integral Formula. Gain insights into principle n-th roots and recap key points for a comprehensive understanding of this fundamental concept in complex analysis.

Defining the complex Logarithm
Plotting the complex Logarithm
Full formula for Logz
Recap/Summary
Branch cuts
Infinite spiral staircase of solutions
Teaser: Cauchy Integral Formula