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

A brief introduction to Complex Functions, including basics and holomorphicity, as well as comparisons to real functions.

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

Euler's formula about e to the i pi, explained with velocities to positions. Help fund future projects: ...

This video explores analytic complex functions, where it is possible to do calculus. We introduce the Cauchy-Riemann conditions ...

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

Join me as I explore the different ways we can visualize a complex function, to find which one deserves to be called their true ...

Discuss about multivalued nature of complex numbers | Complex Analysis | Branch Cuts | Principal Branch | ln(z) | Natural ...

The complex derivative, from differentials to the Cauchy-Riemann Equations Support me on Patreon! https://patreon.com/vcubingx ...

This video introduces functions of a complex variable, f(z). Important functions include monomials z^n, the complex exponential ...

Unraveling the enigmatic function behind the Riemann hypothesis Help fund future projects: ...

Visualization explaining imaginary numbers and functions of complex variables. Includes exponentials (Euler's Formula) and the ...

Intro to the geometry complex numbers. Full playlist: ...

In this video we discuss complex numbers and show how they can be represented in various forms (rectangular or Euler's ...