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Turns out complex numbers are useful after all!

When going from the real axis to the complex plane, we sometimes run into trouble that functions become "multivalued".

In this lecture, we discuss how to evaluate complex valued signals with complex valued signals. This lecture is adapted from the ...

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

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Starting with an exponential solution to a linear ordinary differential equation I transform the solution into a real valued solution of ...

If so we want to give the result that if any arbitrary complex value function if this is equal to a plus b i then the limit of real part is ...

Functions of complex variable and analytic function https://creativecommons.org/licenses/by-nc/4.0/

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Subject : Mathematics Course Name : Measure and Integration 🌟 Welcome to Swayam Prabha! 🌟 Description: 🌐 Welcome to ...

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

In this video we do 8 examples where we test complex functions for complex differentiability with the Cauchy-Riemann Equations.

complex logarithm, principal value.

You can apply all methods you learn to find Taylor series of real functions to their context counterparts in this field will encounter ...

Introduces the mathematical definition of the Fourier transform as well as magnitude and phase spectra. The Matlab code that ...

For more math, subscribe to my channel: https://www.youtube.com/jeffsuzuki1.

This is a video tutorial on how to think about plotting complex-valued functions. I start by reviewing how we plot single variable, ...

Advanced Complex Analysis - Part 2 by Dr. T.E. Venkata Balaji,Department of Mathematics,IIT Madras.For more details on NPTEL ...