Text Reference 
J.W. Brown and R. V. Churchill, Complex Variables and Applications, 6th ed., McGraw Hill International, 1996.
P. Dennery and A. Krzywicki, Mathematics for Physicists, Harper and Row 1967.
M. R. Spiegel, Vector Analysis, Schaum`s outline series Tata McGraw Hill 1979.
M. J. Ablowitz, A.S. Fokas, Complex Variables, Cambridge University Press, First South Asian paperback edition, 1998.
H. A. Hinchey, Introduction to Applicable Mathematics, Part I, Wiley Eastern, 1980.
G.B. Arfken, H.J.Weber, Mathematical Methods for Physicists, 4th ed., Academic Press Prism Books, 1995.

Description 
Functions of complex variables, limit, continuity, analytic function, Cauchy formula, Laurent series, isolated and essential singularities. Zeros, poles and branch cuts. Applications of residue theorem. Contour integrations, Analytic continuations. Dispersion relations. Method of steepest descent and stationary phase approximation, asymptotic series of integrals. Conformal transformations.
Curvilinear coordinates, metric coefficients. Basic notions of tensor analysis. Applications to continuum systems.
Review of linear algebra. Introduction to discrete and continuous groups. Generators. Rotation group and homogeneous Lorentz group.
