Intro to Complex Analysis
Riemann surfaces are one-dimensional complex manifolds that allow for a multi-valued function, like the logarithm or square root, to be treated as single-valued. They provide a way to visualize complex functions and understand their behavior across different branches, especially when dealing with functions that are not defined everywhere in the complex plane. This concept is crucial when analyzing how logarithmic functions behave under various conditions and exploring simply connected domains.
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