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

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

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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: ...

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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 ...

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

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.

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

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