(CA04) Radicals and Branches

This episode explores the fascinating concept of radicals in the complex plane and their inherent multivaluedness, a key aspect of complex analysis that distinguishes it from real-number analysis. We'll examine how to solve polynomial equations using complex radicals and delve into the multivalued inverses of both circular and hyperbolic trigonometric functions. Through detailed examples, we'll demonstrate how to handle these multivalued functions, define their branches, and discuss the implications of choosing principal values.

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