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 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
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
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 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
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
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
Euler's Formula Using Taylor Series Expansions
Today, we prove Euler's formula using Taylor series.
From playlist Complex Analysis
e (Euler's Number) - Numberphile
Free trial at The Great Courses Plus: http://ow.ly/tKWt306Gg7a Dr James Grime discusses "e" - the famed Euler's Number. More links & stuff in full description below ↓↓↓ A bit extra from this video: https://youtu.be/uawO3-tjP1c More James Grime videos from Numberphile: http://bit.ly/grimev
From playlist Mathematics named after Leonhard Euler
Pi is IRRATIONAL: animation of a gorgeous proof
NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) This video is my best shot at animating and explaining my favourite proof that pi is irrational. It is
From playlist Recent videos
Calculus 2, More Taylor series (April 28, 2021)
This is a recording of a live class for Math 1172, Calculus 2, an undergraduate course for math majors at Fairfield University, Spring 2021. Download my written notes at the class website. Class website: http://cstaecker.fairfield.edu/~cstaecker/courses/2021s1172/
From playlist Math 1172 (Calculus 2) Spring 2021
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.
Euler-Mascheroni XII: A Couple Moments of Reflection
Channel social media: Instagram: @whatthehectogon https://www.instagram.com/whatthehect... Twitter: @whatthehectogon https://twitter.com/whatthehectogon Any questions? Leave a comment below or email me at the misspelled whatthehectagon@gmail.com Here I present a proof for the reflect
From playlist Analysis
Lothar Gottsche - SU(r) Vafa-Witten Invariants and Continued Fractions
This is joint work with Martijn Kool and Thies Laarakker. We conjecture a formula for the structure of SU(r) Vafa-Witten invariants of surfaces with a canonical curve, generalizing a similar formula proven by Laarakker for the monopole contribution. This expresses the Vafa-Witten invariant
From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory
Period length of 1/n in its pure recurring decimal representation
We will learn the period length of the pure recurring decimals and its relationship with Euler's phi function. 00:00:00 Introduction - Period length of 1/n 00:00:36 Review of m/n with gcd(n, 10) 00:01:42 Some example period lengths 1/79 vs 1/97 00:02:24 Case study with 1/37, the long divi
From playlist Elementary Number Theory
Yang-Mills, Hodge, and Birch and Swinnerton-Dyer - Million Dollar Equations Part 2 with Tom Crawford
Tom Crawford is back to describe the remaining three million dollar maths problems. Watch the Q&A: https://youtu.be/M4falMG3GIA Watch the first four problems: https://youtu.be/f251NkeDVB8 Subscribe for regular science videos: http://bit.ly/RiSubscRibe The seven million dollar equations ar
From playlist Livestreams
I define one of the most important constants in mathematics, the Euler-Mascheroni constant. It intuitively measures how far off the harmonic series 1 + 1/2 + ... + 1/n is from ln(n). In this video, I show that the constant must exist. It is an open problem to figure out if the constant is
From playlist Series
Integral fractional part tan(x)
In this video, I calculate the integral of the fractional part of tan(x) from 0 to pi/2. This beautiful integral will take us to the world of series, the triangle method, complex numbers, the Euler-Mascheroni constant, the Riemann zeta function, and finally the Gamma function, and it allow
From playlist Integrals
Proving Euler's Formula (4 of 4: Evaluating constants)
More resources available at www.misterwootube.com
From playlist Introduction to Complex Numbers