Euler's constant

The Euler Mascheroni Constant

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

Euler's number, derivatives, and the bank at the end of the universe

Euler's number, e, is defined as a limit. The function e to the x is (up to multiplying by a constant) the only function that is its own derivative. How are these two related? In this video you'll find an explanation for this phenomenon using banking interest rates, and a very particular b

From playlist Mathematics videos

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

Infinite money hack: Euler’s number and compound interest

Compound interest is a powerful concept that allows individuals to grow their wealth over time. It's based on the idea that the interest earned on an investment can be reinvested to generate even more interest, creating a "snowball" effect that can lead to significant growth. Subscribe: h

From playlist polymathematic #shorts

Euler's Significant Result...

Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://teespring.com/stores/papaflammy https://www.amazon.com/shop/flammablemaths https://shop.spreadshirt.de/papaflammy Become a Member of the Flammily! :0 https:

From playlist Taylor Series

Brief Digression on EULER’S Number (10-5)

In the Normal Probability Density Function, you see the letter e…e is a constant. Named after Swiss Mathematician Leonhard Euler (Pronounced: “Oiler”). e = 2.71828

From playlist Continuous Probability Distributions in Statistics (WK 10 - QBA 237)

C36 Example problem solving a Cauchy Euler equation

An example problem of a homogeneous, Cauchy-Euler equation, with constant coefficients.

From playlist Differential Equations

Euler-Mascheroni XIV: A Curious Rational Zeta Series

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 Today we're combining the last two E-M

From playlist Analysis

C35 The Cauchy Euler Equation

I continue the look at higher-order, linear, ordinary differential equations. This time, though, they have variable coefficients and of a very special kind.

From playlist Differential Equations

Euler-Mascheroni X: The Trial of Jens

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 In this video, I finally present the a

From playlist The Generalization War

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

A New Blow-up Criterion for the 3D Euler Equations: A Computational Study by Edriss S. Titi

PROGRAM TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS ORGANIZERS Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India) DATE & TIME 16 January 2023 to 27 January 2023 VENUE Ramanuj

From playlist Turbulence: Problems at the Interface of Mathematics and Physics 2023

Is Euler's Number a Geometric Number? | A response to 3Blue1Brown's video on Euler's number

In 3Blue1Brown's video "What's so special about Euler's number e?", Grant asks the question of whether Euler's number has a geometric description. This is the final video in a short series of videos which addresses exactly this question. A link to @3blue1brown 's video "What's so special

From playlist Is Euler's Number Geometric?

Oily-Maccaroni: A Curious Limit Definition!

Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://teespring.com/stores/papaflammy https://www.amazon.com/shop/flammablemaths https://shop.spreadshirt.de/papaflammy Become a Member of the Flammily! :0 https:

From playlist Number Theory

All the Ways of Defining e | Is Euler's Number Geometric? -- Part 1

Part 2: https://youtu.be/YgScek3GkdI The full series on Euler's number: Part 1: https://youtu.be/rbmUqseGOOM Part 2: https://youtu.be/YgScek3GkdI Part 3: https://youtu.be/c7ilUAqAxyU Part 4: https://youtu.be/oU5elvZL0uU Part 5: https://youtu.be/EoFhgYySUgk Given any conversation between

From playlist Is Euler's Number Geometric?

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.

Andrew Thomas (7/1/2020): Functional limit theorems for Euler characteristic processes

Title: Functional limit theorems for Euler characteristic processes Abstract: In this talk we will present functional limit theorems for an Euler Characteristic process–the Euler Characteristics of a filtration of Vietoris-Rips complexes. Under this setup, the points underlying the simpli

From playlist AATRN 2020

All kinds of big: Hadwiger's Theorem

A survey talk about Hadwiger's theorem, which describes all possible "measures of bigness" for sets in space. Meant for a general quantitatively literate audience- hopefully understandable to anybody who can handle basic mathematical ideas. I gave this talk at the weekly colloquium for the

From playlist Research & conference talks

What are geometric numbers? | Is Euler's Number Geometric? -- Part 3

Part 4: https://youtu.be/oU5elvZL0uU The full series on Euler's number: Part 1: https://youtu.be/rbmUqseGOOM Part 2: https://youtu.be/YgScek3GkdI Part 3: https://youtu.be/c7ilUAqAxyU Part 4: https://youtu.be/oU5elvZL0uU Part 5: https://youtu.be/EoFhgYySUgk Given any conversation between

From playlist Is Euler's Number Geometric?

The Euler Characteristic

I explore the Euler Characteristic, and prove that it is equal to 2 for any convex polyhedra. I also discuss some cases when it is not equal to 2. FaceBook: https://www.facebook.com/MathProfPierce Twitter: https://twitter.com/MathProfPierce TikTok: https://www.tiktok.com/@professorheather

From playlist Summer of Math Exposition Youtube Videos