Euler's formula

Euler's formulas, Rodrigues' formula

In this video I proof various generalizations of Euler's formula, including Rodrigues' formula and explain their 3 dimensional readings. Here's the text used in this video: https://gist.github.com/Nikolaj-K/eaaa80861d902a0bbdd7827036c48af5

From playlist Algebra

Euler's Identity (Equation)

This video given Euler's identity, reviews how to derive Euler's formula using known power series, and then verifies Euler's identity with Euler's formula http://mathispower4u.com

From playlist Mathematics General Interest

Proving Euler's Formula (2 of 4: Differentiating both sides)

More resources available at www.misterwootube.com

From playlist Introduction to Complex Numbers

Euler's formula: A cool proof

How to derive Euler's formula using differential equations! Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook A somewhat new proof for the famous formula of Euler. Here is the famous formula named after the mathematician Euler. It relates the exponential with cosin

From playlist Intro to Complex Numbers

Euler's Formula for the Quaternions

In this video, we will derive Euler's formula using a quaternion power, instead of a complex power, which will allow us to calculate quaternion exponentials such as e^(i+j+k). If you like quaternions, this is a pretty neat formula and a simple generalization of Euler's formula for complex

From playlist Math

Informal Proof of Euler's Formula (2 of 2: Trigonometric calculus)

If you enjoyed this, you can also check out my expanded series of videos that introduces Euler's Formula from "first principles" and concludes with Euler's Identity: https://www.youtube.com/playlist?list=PLHZZ0otaqNsWV01h2ZssT17Tj8fbtLiuM More resources available at www.misterwootube.com

From playlist Introduction to Complex Numbers

B11 The improved Euler Formula

The improved Euler Formula using Python.

From playlist A Second Course in Differential Equations

Euler equation

Solves the Euler differential equation. Join me on Coursera: Matrix Algebra for Engineers: https://www.coursera.org/learn/matrix-algebra-engineers Differential Equations for Engineers: https://www.coursera.org/learn/differential-equations-engineers Vector Calculus for Engineers: htt

From playlist Differential Equations

Differential Equations | Euler's Method

We derive Euler's method for approximating solutions to first order differential equations.

From playlist Mathematics named after Leonhard Euler

Euler’s method - How to use it?

► My Differential Equations course: https://www.kristakingmath.com/differential-equations-course Euler’s method is a numerical method that you can use to approximate the solution to an initial value problem with a differential equation that can’t be solved using a more traditional method,

From playlist Differential Equations

Euler's infinite pi formula generator

Today we derive them all, the most famous infinite pi formulas: The Leibniz-Madhava formula for pi, John Wallis's infinite product formula, Lord Brouncker's infinite fraction formula, Euler's Basel formula and it's infinitely many cousins. And we do this starting with one of Euler's crazy

From playlist Recent videos

Mandelbrot fractal zoom // featuring Euler bio

Mandelbrot fractal zoom // featuring Euler bio Come hang out and watch a fractal zoom through the Mandelbrot set. To celebrate Euler's contributions to mathematics, this video features a brief bio. of Leonhard Euler! ---------------------------------------------------------------------

From playlist Misc.

Marc Levine: Refined enumerative geometry (Lecture 3)

The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Lecture 3: Virtual fundamental classes in motivic homotopy theory Using the formalism of algebraic stacks, Behrend-Fantechi define the intrinsic normal cone, its fundamental class in

From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"

Power sum MASTER CLASS: How to sum quadrillions of powers ... by hand! (Euler-Maclaurin formula)

The longest Mathologer video ever! 50 minutes, will this work? Let's see before I get really serious about that Kurosawa length Galois theory video :) Today's video is another self-contained story of mathematical discovery covering millennia of math, starting from pretty much nothing and

From playlist Recent videos

YOU CAN'T USE EULER'S IDENTITY TO PROVE THE ANGLE SUM IDENTITIES! | Tricky Parts of Calculus, Ep. 4

I give multiple proofs of the angle sum identities sin(x+y) = sin(x)cos(y) + sin(y)cos(x) and cos(x+y) = cos(x)cos(y) - sin(x)sin(y) from different perspectives. I stress that a very common presentation of these formulas based on Euler's identity e^(ix) = cos(x) + i sin(x) is circular and

From playlist Math

De Moivre's formula: a COOL proof

A quick way of proving De Moivre's formula! Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook Hi again everyone, Chris Tisdell here again. In this presentation I am going to continue my series of videos on complex numbers. In particular, in this presentation, I am g

From playlist Intro to Complex Numbers

Euler's Formula - Numberphile

Tom Crawford shows us some cool things about Euler's Formula... Check https://brilliant.org/numberphile for Brilliant and get 20% off their premium service (episode sponsor) More links & stuff in full description below ↓↓↓ Tom Crawford's website, with links to his work and other outreach:

From playlist Tom Crawford on Numberphile

The Basel Problem Part 1: Euler-Maclaurin Approximation

This is the first video in a two part series explaining how Euler discovered that the sum of the reciprocals of the square numbers is π^2/6, leading him to define the zeta function, and how Riemann discovered the surprising connection between the zeroes of the zeta function and the distrib

From playlist Analytic Number Theory

The Basel Problem Part 2: Euler's Proof and the Riemann Hypothesis

In this video, I present Euler's proof that the solution to the Basel problem is pi^2/6. I discuss a surprising connection Euler discovered between a generalization of the Basel problem and the Bernoulli numbers, as well as his invention of the zeta function. I explain Euler's discovery of

From playlist Analytic Number Theory

Differential Equations | Euler Equations Example 2

We solve a second order differential equation known as an Euler equation. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Differential Equations