Math 411: Honours Complex Variables

• Author(s) / Creator(s)

  • Volker Runde and John C. Bowman

• The complex number system. Analytic functions. Cauchy's integral
  theorem and formula. Applications including the maximum modulus
  principle, Taylor expansion and Laurent expansion. Harmonic
  functions. The residue theorem with applications: the calculus of residues,
  the argument principle, and Rouché's theorem. Basics of analytic
  continuation. The Riemann mapping theorem.

• Date created

  2025-01-05

• Subjects / Keywords

  • Mathematics
  • Complex Variables

• Type of Item

  Book

• DOI

  https://doi.org/10.7939/r3-y1pc-5h40

• License

  Attribution-NonCommercial 4.0 International