Complex Analysis

Syllabus

  • Function of complex variables
  • Differentiable function
  • Cauchy-Riemann (CR) conditions
  • Integration of a complex function over a contour
  • Analytic function
  • Cauchy theorem
  • Cauchy's integral representation
  • Derivative of an analytic function
  • Laurent expansion
  • Calculus of residue
  • Multivalued functions
  • Conformal transformation
  • Analytic continuation

    • Lecture notes

    Assignments

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  • Advance mathematical physics
  • Group theory and vector space
  • Partial differential equation