[CA/Week 1] 1. Introduction

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Week 1 of the course "Complex Analysis" is dedicated to the complex algebra and introduction to complex calculus.

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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