About this course:

  • Course Name: Complex Analysis
  • Course Code: MA 1604H
  • L-T-P-C : 3-1-0-4
  • Syllabus: NaN
  • Course Type: Common course


    • Complex Analysis

    Description:

    Syllabus :

    Complex numbers and elementary properties; Complex functions - limits, continuity and differentiation, Cauchy-Riemann equations, analytic and harmonic functions, elementary analytic functions, anti-derivatives and line (contour) integrals, Cauchy-Goursat theorem, Cauchy's integral formula, Morera's theorem, Liouville's theorem, Fundamental theorem of algebra, Maximum modulus principle; Power series, Taylor series, zeros of analytic functions, singularities and Laurent series, Rouche's theorem and argument principle, residues, Cauchy's Residue theorem,  Applications of Residues; Conformal mappings, Mobius transformations.

    Text Books :

    1. J. W. Brown & R. V. Churchill (2004). Complex Variables and Applications (7th ed.). Mc-Graw Hill

    Reference Books :

    1. J. H. Mathews & R. W. Howell (1998). Complex Analysis for Mathematics and Engineering (3rd ed.). Narosa
    2. S. Ponnusamy (2011). Foundation of Complex Analysis. Narosa