Syllabus of lecture
1. Fourier series: periodic functions, Fourier coefficients, functions of the period 2, function of the period T, even and odd functions
2. Even and odd functions, half - range cosine and sine series, convergence of Fourier series
3. Complex numbers
4. Infinite complex number series
5. Complex functions of a real variable
6. Fourier series at a complex form
7. Complex functions of a complex variable and mappings
8. Elementary functions of complex variable
9. Complex differentiation Cauchy - Riemann equations
10. Integration of complex variable function
11. Cauchy´s theorems
12. Singularities, Taylor´s and Laurent´s series
13. Residues, applications
14. Reserve
1. Fourier series: periodic functions, Fourier coefficients, functions of the period 2, function of the period T, even and odd functions
2. Even and odd functions, half - range cosine and sine series, convergence of Fourier series
3. Complex numbers
4. Infinite complex number series
5. Complex functions of a real variable
6. Fourier series at a complex form
7. Complex functions of a complex variable and mappings
8. Elementary functions of complex variable
9. Complex differentiation Cauchy - Riemann equations
10. Integration of complex variable function
11. Cauchy´s theorems
12. Singularities, Taylor´s and Laurent´s series
13. Residues, applications
14. Reserve