[CA/Week 4] 7. Practice with regular branches III.

Week 4 of the course "Complex Analysis" is dedicated to multivalued functions and regular branches. The focus is put on practice with power type and log-type composite functions.
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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.