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Powers and Roots of Complex Numbers

Raising complex numbers, written in polar (trigonometric) form, to positive integer exponents using DeMoivre's Theorem. Then finding roots of complex numbers written in polar form.

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Complex Numbers In Polar - De Moivre's Theorem
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Complex Numbers In Polar - De Moivre's Theorem

An Exponentially Complex PUzzLE  | P636
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An Exponentially Complex PUzzLE | P636

The Greatest Unsolved Problem In Mathematics
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The Greatest Unsolved Problem In Mathematics

07a - Finding the nth roots Complex Numbers (Exponential Form)
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07a - Finding the nth roots Complex Numbers (Exponential Form)

Solving the Most Ridiculous Systems of Equations (ft. a cool theorem) #some3
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Solving the Most Ridiculous Systems of Equations (ft. a cool theorem) #some3

De Moivre’s Theorem – powers of complex numbers
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De Moivre’s Theorem – powers of complex numbers

Complex Analysis L01: Overview & Motivation, Complex Arithmetic, Euler's Formula & Polar Coordinates
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Complex Analysis L01: Overview & Motivation, Complex Arithmetic, Euler's Formula & Polar Coordinates

De Moivre's Theorem Roots of Polar Complex Numbers
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De Moivre's Theorem Roots of Polar Complex Numbers

Everyone Guesses Wrong About This Race
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Everyone Guesses Wrong About This Race

William Dunham, A tribute to Euler
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William Dunham, A tribute to Euler

The Polar Form of Complex Numbers
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The Polar Form of Complex Numbers

How to Find the nth Roots of a Complex Number with the Formula
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How to Find the nth Roots of a Complex Number with the Formula

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Who is Smarter? Engineer vs Chinese 5th Grader

The Integral Explained Better Than School Ever Did
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The Integral Explained Better Than School Ever Did

But what is the Riemann zeta function? Visualizing analytic continuation
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But what is the Riemann zeta function? Visualizing analytic continuation

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How Imaginary Numbers Were Invented

Complex Numbers - Basic Operations
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Complex Numbers - Basic Operations

Tesla’s 3-6-9 and Vortex Math: Is this really the key to the universe?
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Tesla’s 3-6-9 and Vortex Math: Is this really the key to the universe?

The Greatest Mathematician of Our Time
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The Greatest Mathematician of Our Time

Why is there no equation for the perimeter of an ellipse‽
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Why is there no equation for the perimeter of an ellipse‽

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