EC456 Complex Analysis with Applications

Course Name: 

EC456 Complex Analysis with Applications

Programme: 

B.Tech (ECE)

Category: 

Programme Specific Electives (PSE)

Credits (L-T-P): 

(3-0-0) 3

Content: 

Complex numbers: algebra, representation, polar forms, complex exponential, powers and roots, topological representation, Riemann sphere and stereographic representation. Analytic functions: limits and continuity, analyticity, CR equations, harmonic functions, elementary functions: polynomials, rational functions, exponential, hyperbolic functions, complex integration: contour integrals, Cauchy’s integral theorem, bounds for analytic functions, Series representation for analytic functions: Taylor series, power series, Laurent series, singularities, Residue theory: improper integrals, Conformal mapping, Entire and meromorphic functions, applications of harmonic functions, Fourier series and Laplace transform. Applications in Circuit Simulators, Electromagnetism (time-harmonic fields), Electrostatics (solutions to Laplace's equation), and in various other fields of engineering and, natural and applied sciences.

References: 

S Ponnusamy, H Silverman, Complex variables with applications, Birkhauser, 2006.
JH Mathews, RW Howell, Complex analysis for mathematics and engineering, Jones and Bartlett, 2001.
Edward B. Saff, Arthur David Snider, Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics, Pearson Education, 2003.
Kozo Sato, Complex Analysis for Practical Engineering, Springer, 2015.
Cohen, Harold, Complex Analysis with Applications in Science and Engineering, Springer, 2007.
JW Brown, RV Churchill, Complex variables with applications, 8th ed, McGraw Hill, 2009.
 

Contact us

Dr. U. Shripathi Acharya,  Professor and Head, 
Department of E&C, NITK, Surathkal
P. O. Srinivasnagar,
Mangalore - 575 025 Karnataka, India.

  • Hot line: +91-0824-2473046

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