Dive into a comprehensive 7-hour video playlist on complex analysis, covering essential topics from analytical functions and Cauchy-Riemann equations to Taylor and Laurent series. Master key concepts such as harmonic conjugates, Milne-Thomson method, bilinear transformations, conformal mapping, complex integration, and Cauchy's integral formula. Explore contour integration, residue theorem applications, and evaluation of improper integrals. Learn through detailed explanations, examples, and solutions, including CSIR-NET and GATE previous paper discussions. Gain insights into various types of singularities, residues, and convergence of power series. Enhance your problem-solving skills with short tricks and techniques presented by Dr. Gajendra Purohit, preparing you for advanced mathematics and engineering examinations.
Overview
Syllabus
Complex Analysis | Analytic Function | Cauchy Riemann Equation BY GP.
Complex Analysis - Short Trick To Find Harmonic Conjugate By GP Sir.
Complex Analysis - Analytic Function | Milne Thomson Method | Example & Solutions.
Complex Analysis - Bilinear transformation | Conformal Mappings By GP.
Complex Analysis - Complex Integration Line Integral Example & Solution.
Cauchy's Integral Formula For Analytic Function | Example & Solution.
Complex Analysis - Cauchy's Residue Theorem & Its Application by GP.
Complex Analysis- Contour Integration | Application of Residue Theorem.
Complex Analysis - Contour integration | Evaluation of Improper Integrals.
Complex Analysis - Taylor Series For Complex Variable | Problems By GP.
Complex Analysis -Laurent Series For Complex Number | Problems By GP.
Complex Analysis , CSIR- NET (Maths) , Previous Paper Solution, Mock Test.
Complex Analysis , CSIR- NET (Maths) , Previous Paper Solution, Mock Test Part-2.
Complex Analysis | Engineering Mathematics | GATE -2019 Paper Solution | Short Trick.
Complex Analysis | Engineering Mathematics | GATE -2018 Paper Solution | Short Trick.
How To Stop Overthinking | How To Get Rid Of Overthinking | Hindi.
Singularity - Types of Singularity | Isolated & Non-Isolated Singularity | Complex Analysis.
Vector Calculus | Vector Differentiation With Short Tricks For GATE, IIT-JAM, PGT , GIC.
Singularity | Removable Singularity - Concepts with Examples | Complex Analysis.
Singularity | Isolated Singularity - Pole and Order Of Pole | Complex Analysis.
Singularity | Isolated Singularity - Isolated Essential Singularity | Complex Analysis.
Singularity | Non-Isolated Singularity - Non-Isolated Essential Singularity | Complex Analysis.
Residue - Complex Analysis | Residue at Infinity | Short Trick With Examples.
Residue - Complex Analysis | Residue at Essential Singularity | Short Trick With Examples.
Singularity | Isolated Singularity at Infinity | Complex Analysis.
Radius of Convergence - Power Series | Complex Analysis.
Singular Solution - Differential Equation | Singular Solution Examples.
Differential Equation | Order And Degree With Concept & Example By GP Sir.
Differential Equation | Formation Of Differential Equation - Concept & Example By GP Sir.
Taught by
Gajendra Purohit
