In this video, we study the exponential function w = e^z in complex analysis.
We see how different regions in the z-plane change into the w-plane.
Examples in this video:
Line y = -2 becomes a ray in the w-plane
Line x = 3 becomes a circle of radius e^3
Strip 1 to 2 becomes a ring-shaped region
Square with corners 0, 1, 1+i, i becomes a curved region
These examples are useful for B.Sc, B.E, B.Tech, and M.Sc students.
Graphs made using Desmos (desmos.com)
#ComplexAnalysis #ExponentialMapping #ConformalMapping
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Exponential Mapping \(w=e^z\) | Complex Analysis with Examples | NatokHD