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

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 ...

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

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

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

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 ...

So assume that we have a family of complex valued functions nothing is assumed about a is a set okay and okay berries in the in ...

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

So take a general complex valued. F okay from the unit disk and to see general. Complex-Valued. Function and right as usual the ...

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

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

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 I describe the dimensions of Complex Numbers, starting with the 2D Complex Number z=x+iy (in Rectangular ...

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 ...

This lecture is part of a series of lectures on elliptic functions. We describe the Jacobi functions sn, cn, dn, and show how to view ...

Complex Analysis, Probability and Statistical Methods - 18MAT41.