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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 ...

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

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

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

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

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

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

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

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

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 ...