Showing posts with the label Complex AnalysisShow All
How the Real and Imaginary Parts of w=logz Satisfy the Cauchy-Riemann Equations (Problems in MMTC081)

How the Real and Imaginary Parts of w=logz Satisfy the Cauchy-Riemann Equations (Problems in MMTC081)

Abubakar M. Shafii May 26, 2025 Complex Analysis

Dumelang guys!!! In this post, we will explore the real and imaginary parts of the complex logarithm function \( w = \log{z} \), and show that they satisfy the Cauchy-Ri…

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Solution to Problems on Complex Integration MMTC081 (Path Integrals)

Solution to Problems on Complex Integration MMTC081 (Path Integrals)

Abubakar M. Shafii May 25, 2025 Complex Analysis

Sanbonani guys!!!  This is MMTC081 (Complex Analysis Module).  Here we look into some uncommon problems we have encountered in the course of studying this module.   (1) …

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Lecture series by Dr Kamran Khan on Complex Integration

Lecture series by Dr Kamran Khan on Complex Integration

Abubakar M. Shafii July 18, 2021 Complex Analysis

Lecture series by Dr Kamran Khan on Complex Integration Kamran Khan is an assistant professor at the department of mathematics, Aligarh Muslim Universi…

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The harmonic functions and construction of analytic functions.

The harmonic functions and construction of analytic functions.

Abubakar M. Shafii April 12, 2021 Complex Analysis

The harmonic functions and construction of analytic functions.  In this video series Dr. Kamran Khan takes us through harmonic functions and construction of analytic fun…

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Polar form of Cauchy-Riemann equations

Polar form of Cauchy-Riemann equations

Abubakar M. Shafii March 24, 2021 Complex Analysis

Polar form of Cauchy-Riemann equations In this lecture series, Dr. Kamran Khan takes us through polar forms of Cauchy-Riemann equation, how they are derived and example…

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Example of a function that satisfies the Cauchy-Riemann equation - Lecture III

Example of a function that satisfies the Cauchy-Riemann equation - Lecture III

Abubakar M. Shafii March 18, 2021 Complex Analysis

Example of a function that satisfies the Cauchy-Riemann equation. In this lecture Dr. Kamran Khan takes his time to solve a problem that satisfies the Cauchy-Riemann equ…

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