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

The simple harmonic oscillator and the fundamental role of complex exponents for ODEs. Next chapter on the Laplace Transform ...

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Explains the link between sinusoidal signals (in the "real world") and complex numbers (in the "maths world"). * One point to note ...

Visit http://ilectureonline.com for more math and science lectures! In this video I will derive the formula for finding complex ...

Advanced MathWear: https://my-store-ef6c0f.creator-spring.com/ Complex analysis lectures: ...

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MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015 View the complete course: ...

What is e? And why are exponentials proportional to their own derivatives? Help fund future projects: ...

Explains how complex numbers can be written in the form r.e^(i theta). This is a useful representation because it makes it easy to ...

I derive the general formula for a complex number to a complex power, discuss the famous i^i result and find the values of k such ...

Here we take a look at the complex exponential function and describe it as rotation along the unit circle in the complex plane.

This video introduces the Complex Exponential.

Here we review the real exponential function, define the complex exponential function, then compare and contrast their properties.

Complex exponentiation: raising a complex number to a complex power.

So in this video I'm going to be talking about the complex exponential function e to the power of Z and we're not going to be doing ...