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Explore functions of complex variables, including monomials, complex exponentials, and trigonometric functions in this 25-minute lecture. Begin with an overview and examples of complex functions, then delve into the convergent Taylor series of the complex exponential. Examine monomial functions z^n and conclude with trigonometric functions sin(z), cos(z), and their identities. Learn about the complex logarithm in the upcoming lecture.
Syllabus
Complex Analysis L03: Functions of a complex variable, f(z)
Taught by
Steve Brunton