[CA/Week 6] 1. Integrals with power-type integrand and two branch points, Part I.

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Week 6 of the course "Complex Analysis" is dedicated to integrals with multivalued functions.
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.
  1. Stokes-Line
  2. Complex Analysis
  3. Integrals
  4. multivalued functions
  5. branch points
  6. branch cuts
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