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CAWeek 3 4 Riemann sphere
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Video Source: www.youtube.com/watch?v=s3mrdlDEALQ
Week 3 of the course Complex Analysis is dedicated to the residue theory and computation of integrals in a complex plane. • Animated LaTex formulae are made with my custom plugin: https://aescripts.com/anytex/ • Topics of the course: • 1. Algebra of complex numbers. Differentiation and integration in a complex plane. • 2. Singularities of functions of complex variables. • 3. Contour integration. Residue theory. Jordan's lemma. • 4. Multivalued functions and regular branches • 5. Analytical continuation and Riemann surfaces. • 6. Integrals with multivalued functions. • 7. Gamma function and its applications.
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