This is a Complete Course of Complex Analysis for CSIR NET and Gate Mathematics.
Reference Books: 1.Complex Variables Theory and Applications by Hs Kasana.
2. Functions of Complex Analysis by S Ponnusamy
Course Curriculum
| Complex Analysis Course Video | |||
| CA Lec-1 || Complex Analysis Crash Course – Complex Number – Conjugate – Csir net mathematics | FREE | 01:40:00 | |
| CA Lec-2 || Polar form – Complex Number – Principal Argument – Complex function – Csir net mathematics | FREE | 02:03:00 | |
| CA Lec-3 || Branch Point – Multivalued Functions – Limit and Continuity – Complex function – Csir net maths | 01:42:00 | ||
| CA Lec-4 || Limit and Continuity – Complex function – Csir net mathematics | 01:15:00 | ||
| CA Lec-5 || Algebra of Continuity – C-R Equation – Analytic function – Complex function | 01:17:00 | ||
| CA Lec-6 || C-R Equation – Analytic function – Complex function | 01:20:00 | ||
| C A Lec-7 || Construct a harmonic function – Milne-Thomson Method – Csir net mathematics | 00:55:00 | ||
| CA Lec-8 || C-Theorems – CSIR NET Previous years questions and solutions | 01:11:00 | ||
| CA Lec-9 || Jordan Arc, Jordan Curve, Contour – Smooth Cure & Other Basic Definitions – Complex integration | 01:29:00 | ||
| CA Lec-10 || Complex integration – Cauchy Integral Formula – Important theorems – Csir net mathematics | 01:37:00 | ||
| CA Lec-11 || Singularity – Isolated and Non isolated Singularity – Removable& Poles – Csir net maths | 01:45:00 | ||
| CA Lec-13 || Residues – Cauchy’s residue theorem – Questions Solutions – Csir net mathematics | 01:45:00 | ||
| CA Lec-14 || Residue – Complex Integration – Singularity – Questions & Solutions – Csir net maths | 01:13:00 | ||
| CA Lec-15 || Residue – Complex Integration – Singularity – Questions & Solutions – Csir net maths | 01:00:00 | ||
| CA Lec-16 || liouville theorem application complex analysis – Winding number – Complex integration | 01:27:00 | ||
| CA Lec-17 || Schwarz lemma & problems – Schwarz pick lemma – Previous years questions – Csir net maths | 01:18:00 | ||
| CA Lec-18 || Argument theorem – Argument Principle – Questions and Solutions – Complex Analysis Course | 01:22:00 | ||
| CA Lec-19 || Argument principle – Rouche’s theorem – Questions for Homework – Complex Analysis | 01:29:00 | ||
| CA Lec-20 || Maximum and minimum modulus principle – Complex Analysis – Csir net maths | 01:26:00 | ||
| CA Lec-21 || Identity theorem – isolated and Non Isolated zeroes – PYQs Complex Analysis – Csir net maths | 01:32:00 | ||
| CA Lec-22 || Conformal Mapping – Complex Analysis – Csir net maths | 01:22:00 | ||
| CA Lec-23 || Conformal Mapping – Complex Analysis – Csir net maths | 01:28:00 | ||
| CA Lec-24 || Bilinear transformation – Complex Analysis – Csir net maths | 01:31:00 | ||
| CA Lec-25 || Bilinear transformation – Complex Analysis – Csir net maths | 01:05:00 | ||
| CA Lec-26 || Bilinear transformation – Complex Analysis – Csir net maths | 00:44:00 | ||
| CA Lec-27 || Some important results – Complex Analysis – Csir net maths | 01:03:00 | ||
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