2015 / 2016 / I

  • Mathematics III.
    • Lecture: thursday 12:00 - 14:00, M402.
    • Seminar: thursday 14:00 - 16:00, M402.
    • Topics:
      • Complex differentiability. The Cauchy-Riemann equations.
      • Power series, analytic functions.
      • Integrals over paths, Cauchy’s theorem.
      • Laurent series. The residue formula.
      • Elements of functional analysis.
      • Hilbert spaces.
      • Linear functionals and operators.
      • Spaces of integrable functions.
      • Classical bases in function spaces.
      • Fourier series, their complex form.
      • Fourier transformation and its applications. Laplace transformation and its applications.
    • Recommended books: