In complex analysis, transformations map points from the z-plane to the w-plane, altering their shape and position. In this video, I explain:
🔹 How lines are transformed under complex functions
🔹 The key effects of transformations: magnification, rotation, and translation
🔹 A step-by-step example illustrating these transformations
🔹 A look at a non-linear transformation and how it differs
By the end of this video, you’ll understand how complex functions reshape geometric structures and why these transformations are so fundamental in complex analysis.
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2. Complex Analysis: Linear and Non Linear Transformations | NatokHD