NIT Srinagar Syllabus 3rd Sem Civil Complex Variables & Special Functions

 

                  NIT Srinagar Syllabus 3rd Sem Civil

                Complex Variables & Special Functions

Complex Variables:

Analytic functions, Cauchy Riemann equations, Complex integration, Cauchy’s fundamental theorem, Cauchy’s integral formula, Cauchy’s inequality and Liouville’s theorem on integral function, Taylor’s and Laurent’s expansions, Zeros and poles of analytic functions, Residues and Contour integration. Conformal Mappings, Bilinear Transformation.

Special Functions:

Solution in Series, Legendres Functions, Rodriguess formula, generating functions for Legendres Polynomials and recurrence formulae. Bessel’s functions, Recurrence formulae and Bessel’s functions of integral order.

Books Recommended

  1. Brown, J.V. and Churchill, R.V. “Complex Variables and Applications, 6th Edn.”, McGraw-Hill, 1996.
  2. Copson, E.T. “Theory of Functions of Complex Variables”, Oxford University Press, New Delhi, 1988.
  3. Stanton, R. G. “ Numerical Methods for Science and Engineering”, Prentice-Hall, 1961.
  4. Hamming, R.W. “Numerical Methods for Scientists and Engineers”, McGraw-Hill, Inc., NY, 1973.
  5. Kurtz, M. “Handbook of Applied Mathematics for Engineers and Scientists”, McGraw- Hill, 1991.
  6. Freeman, H. “Finite Differences” Cambridge University Press, 1962.
  7. Scarborough, J.B. “Numerical Mathematical Analysis”, Oxford and IBH Publishing Co., New Delhi, 1966.
  8. Churchill, R.V. “Complex Variables and Application”, McGraw-Hill International Book Company.
  9. Iyengar, S.R.K. and Jain, R.K. “Advanced Engineering Mathematics”, Narosa, 2001.

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