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CSIR-UGC National Eligibility Test (NET) for Junior Research Fellowship and Lecturer-ship
CSIR-UGC National Eligibility Test (NET) for Junior Research Fellowship and Lecturer-ship
Syllabus for COMPLEX ANALYSIS
Syllabus for COMPLEX ANALYSIS
Algebra of complex numbers, the complex plane, polynomials, Power series, transcendental functions such as exponential, trigonometric and hyperbolic functions.
Algebra of complex numbers, the complex plane, polynomials, Power series, transcendental functions such as exponential, trigonometric and hyperbolic functions.
Analytic functions, Cauchy-Riemann equations.
Analytic functions, Cauchy-Riemann equations.
Contour integral, Cauchy’s theorem, Cauchy’s integral formula, Liouville’s theorem,
Contour integral, Cauchy’s theorem, Cauchy’s integral formula, Liouville’s theorem,
Maximum modulus principle, Schwarz lemma, Open mapping theorem.
Maximum modulus principle, Schwarz lemma, Open mapping theorem.
Taylor series, Laurent series, calculus of residues.
Taylor series, Laurent series, calculus of residues.
Conformal mappings, Mobius transformations.
Conformal mappings, Mobius transformations.
CSIR NET DEC 2019 (Solution-Answer Key)
CSIR NET DEC 2019 (Solution-Answer Key)
CSIR NET DEC 2018 (Solution-Answer Key)
CSIR NET DEC 2018 (Solution-Answer Key)
CSIR NET JUNE 2018 (Solution-Answer Key)
CSIR NET JUNE 2018 (Solution-Answer Key)
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