3Blue1Brown
Euler's formula with introductory group theory
Euler's formula, e^{pi i} = -1, is one of the most famous expressions in math, but why on earth is this true? A few perspectives from the field of group theory can make this formula a bit more intuitive.
3Blue1Brown
Euler's formula with introductory group theory - Part 1 of 4
Euler's formula, e^{pi i} = -1, is one of the most famous expressions in math, but why on earth is this true? A few perspectives from the field of group theory can make this formula a bit more intuitive.
3Blue1Brown
e^(iπ) in 3.14 minutes, using dynamics | DE5
A quick explanation of e^(pi i) in terms of motion and differential equations
3Blue1Brown
e to the pi i, a nontraditional take (old version)
The enigmatic equation e^{pi i} = -1 is usually explained using Taylor's formula during a calculus class. This video offers a different perspective, which involves thinking about numbers as actions, and about e^x as something which turns...
3Blue1Brown
Understanding e to the pi i
The enigmatic equation e^{pi i} = -1 is usually explained using Taylor's formula during a calculus class. This video offers a different perspective, which involves thinking about numbers as actions, and about e^x as something which turns...
3Blue1Brown
Understanding e to the i pi: Differential Equations - Part 5 of 5
A quick explanation of e^(pi i) in terms of motion and differential equations
3Blue1Brown
Euler's Formula Poem
A silly poem encapsulating the ideas from the video about Euler's formula through graph theory.
3Blue1Brown
Euler's Formula and Graph Duality - Part 2 of 4
A very clever proof of Euler's characteristic formula using spanning trees.
3Blue1Brown
Euler's Formula and Graph Duality
A very clever proof of Euler's characteristic formula using spanning trees.
msvgo
Polyhedrons
This nugget explains what a Polyhedron is. It also explains convex, concave and regular Polyhedrons along with the Euler's formula.
Khan Academy
Khan Academy: Calculus: Polynomial Approximation of Functions (Part 7)
Video continues a discussion about the relationship between the polynomial approximations for the sine, cosine and e^x functions from Maclaurin series and uses those to derive Euler's formula and Euler's identity. [10:18]
Khan Academy
Khan Academy: Differential Equations: Complex Roots of Characteristic Equation 1
Video is first part of showing what happens in a secondnd order linear homogeneous differential equation when the roots of the characteristic equation are complex. Includes using Euler's formula. [10:27]
Khan Academy
Khan Academy: Differential Equations: Complex Roots of Characteristic Equation 2
Video continues from previous video showing what happens when the roots of the characteristic equation are complex and deriving a formula for the general solution. Shows an example problem applying the formula derived to determine the...
Khan Academy
Khan Academy: Calculus: Euler's Formula and Euler's Identity
Video lesson using the polynomial approximations for the sine, cosine and exponential functions from Maclaurin series to derive Euler's formula and Euler's identity. [11:27]