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A compilation of plots of different complex functions, like adding and multiplying complex constants, exponentiation, the power ...

How do you integrate multivalued functions in complex analysis? This video shows you how to solve a classic problem in most ...

Complex functions are 4-dimensional: its input and output are complex numbers, and so represented in 2 dimensions each, ...

Measure and Integration by Prof. Inder K Rana ,Department of Mathematics, IIT Bombay. For more details on NPTEL visit ...

In this video, we cover three central ideas: the natural log of -1, the natural log of any complex number, and the principal log.

... once again so the concept of multi valued function in complex analysis is important because for example if i have one function z ...

So if you have expected value of a linear combination of two functions of these complex random vector, you can easily prove that ...

CORRECTIONS | | | At 5:30, I meant to say -π to π. I would also like to point out that the integral around the complex unit circle ...

Unlock new career opportunities and become data fluent today! Use my link https://bit.ly/MathemaniacDCJan22 and check out the ...

Part I: Complex Variables, Lecture 5: Integrating Complex Functions Instructor: Herbert Gross View the complete course: ...

Selected Topics in Mathematical Physics by Prof. V. Balakrishnan,Department of Physics,IIT Madras.For more details on NPTEL ...

We can use "phase plots" to visualize functions 𝑓 : ℂ → ℂ. Thanks to @rreusser for the phase plotting code at ...

Part I: Complex Variables, Lecture 2: Functions of a Complex Variable Instructor: Herbert Gross View the complete course: ...

Unlock the mysteries of the complex logarithm! This video breaks down the definition of the complex logarithm function, clarifies ...

Complex analysis is an incredibly powerful tool used in many applications, specifically in solving differential equations (Laplace's ...

Heyy guys its been a long time but i guess when i hit that recess due to my exams it was sort of a hangover but i finally got rid of it ...

First let's look at the definition of Holomorphic function. Given a complex-valued function f of a single complex variable, the ...

The development of Integral Calculus to Complex valued functions. Problems arising from non-ordered nature of Complex values; ...

Part I: Complex Variables, Lecture 3: Conformal Mappings Instructor: Herbert Gross View the complete course: ...

Lecture Series on Mathematics - II by Prof.Sunita Gakkhar, Department of Mathematics, IIT Roorkee. For more details on NPTEL ...