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3Blue1Brown Series (2016)

Season 4 • Episode 5 • Understanding e to the i pi in 3.14 minutes

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3Blue1Brown Series Season 4, Episode 5: Understanding e to the i pi in 3.14 minutes

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Euler's formula intuition from relating velocities to positions. Watch 3Blue1Brown Series Season 4, Episode 5 Understanding e to the i pi in 3.14 minutes in HD free online. Enjoy high-quality streaming of 3Blue1Brown Series Season 4, Episode 5 and share your thoughts in the comments below!

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Episodes

6 episodes
Overview of differential equations
1

Overview of differential equations

How do you study what cannot be solved?
But what is a partial differential equation?
2

But what is a partial differential equation?

The heat equation, as an introductory PDE.
Solving the heat equation
3

Solving the heat equation

Boundary conditions, and setup for how Fourier series are useful.
But what is a Fourier series?
4

But what is a Fourier series?

Fourier series, from the heat equation to sines to cycles.
Understanding e to the i pi in 3.14 minutes
5

Understanding e to the i pi in 3.14 minutes

Euler's formula intuition from relating velocities to positions.
How (and why) to raise e to the power of a matrix
6

How (and why) to raise e to the power of a matrix

General exponentials, love, Schrödinger, and more.

27 min