Monday: 10-12
and Tuesday:
8-10 (for BSM)
Text books: John B. Conway, Functions of one complex veriable I, Springer, Graduate Texts in Mathematics
H.A. Priestley, Introduction to complex analysis, Oxford University Press
Exercises: pdf
Notes and assigned homeworks:
Text books: John B. Conway, Functions of one complex veriable I, Springer, Graduate Texts in Mathematics
H.A. Priestley, Introduction to complex analysis, Oxford University Press
Exercises: pdf
Notes and assigned homeworks:
- 1. Complex numbers: Notes 1, Homework due September 19
- 2. Topology of the complex plain: Notes 2, Homework due September 26
- 3. Differentiation of complex function, the Cauchy-Riemann equations, power series: Notes 3, Homework due October 3
- 4. Path integrals and the Cauchy theorem: Notes 4, Homework due October 10
- 5. The Cauchy formula: Notes 5, Homework due October 17
- 6. The Liouville theorem, the fundamental theorem of algebra, Taylor expansion, roots of holomorphic functions. Homework due October 24
- 7. The gamma function. The maximum modulus theorem. The Laurent expansion. Classification of isolated singularities. Homework due October 31
- 8. The residue theorem. Homework due November 14
- 9. Zeros and poles. Homework due November 28
- 10. The gamma function. Homework due December 5
