Complex Analysis 2 in ONE SHOT | Poles, Residues, Cauchy Residue Theorem, Contour Integration

🎯 Welcome to another powerful lecture of Complex Analysis!
In this One-Shot Lecture, we cover some of the most beautiful and important topics of Complex Analysis that form the backbone of advanced mathematics, mathematical physics, engineering, and research-level mathematics.
Complex Analysis 2 typically builds directly upon the foundations of complex numbers, Cauchy's theorem, and contour integration. It extends single-variable concepts into deeper geometric and analytic theories, acting as an essential bridge to advanced mathematics and physics
✨ What You’ll Learn Here:
00:00 Introduction
00:12 COMPLEX ANALYSIS
03:04 ZERO OF FUNCTION
04:55 SINGULARITY
07:07 ISOLATED SINGULARITY
10:35 NON-ISOLATED SINGULARITY
15:12 LAURENT SERIES
16:54 REMOVABLE SINGULARITY, POLES, ESSENTIAL SINGULARITY
17:34 QUESTION SOLVING
21:52 MEROMORPHIC FUNCTIONS
23:18 ENTIRE FUNCTIONS
23:08 RESIDUE
33:31 CAUCHY RESIDUE THEOREM
39:44 PROMOTION
40:51 CONTOUR INTEGRATION IN DETAIL
55:00 Mittag-Leffler expansion theorem
58:31 Weierstrass factorisation theorem
58:36 ELLIPTIC FUNCTIONS
01:09:30 FINAL THOUGHT

Whether you are a BS Mathematics student, preparing for exams, NET, GATE, MSc Mathematics, or simply want a deeper understanding of Complex Analysis, this lecture is designed for you.

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• Mathematical Physics
• Engineering Mathematics
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Видео Complex Analysis 2 in ONE SHOT | Poles, Residues, Cauchy Residue Theorem, Contour Integration канала MforMATHODOLOGY