How-to: The Bernoulli numbers and Faulhaber's formula
By Terrence P. Hui, Ph.D. In this video, we will introduce you to the Bernoulli numbers, members of an important sequence of rational numbers. We will show you the key properties of this sequence. We will also show you how they are related to the well-known Faulhaber's formula for determining 1^k+2^k+...+n^k. This is part of the playlist • Intermediate to advanced level of how-to math You might also be interested in more videos below: • Intriguing math problems • Playlist

▶︎
Faulhaber's Formula and Bernoulli Numbers | Algebraic Calculus One | Wild Egg

▶︎
Faulhaber's Fabulous Formula (and Bernoulli Numbers) - Numberphile

▶︎
What Lies Above Pascal's Triangle?

▶︎
The 4-Page Paper That Broke Mathematics

▶︎
How to Extend the Sum of Any* Function
![[ANT15] p-adic integers: a primer, and an application (part 1)](https://i.ytimg.com/vi/SwbJmKbFo7o/hqdefault.jpg?sqp=-oaymwE9CNACELwBSFryq4qpAy8IARUAAAAAGAElAADIQj0AgKJDeAHwAQH4Af4JgALQBYoCDAgAEAEYWiBZKGUwDw==&rs=AOn4CLCS00fvrjugvkoaBTiPn88E_bd-zQ)
▶︎
[ANT15] p-adic integers: a primer, and an application (part 1)

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

▶︎
The hidden link between Prime Numbers and Euler's Number

▶︎
How-to: Frullani Integrals

▶︎
How-to: Establish the infinite product representation of sine and cosine.

▶︎
e (Euler's Number) - Numberphile

▶︎
Power Sum Formulas - LEAST recursive method #SoME3

▶︎
PETR'S MIRACLE: Why was it lost for 100 years? (Mathologer Masterclass)

▶︎
What Are The Bernoulli Numbers?

▶︎
Why don't they teach Newton's calculus of 'What comes next?'

▶︎
2025's Biggest Breakthroughs in Mathematics

▶︎
An Exact Formula for the Primes: Willans' Formula

▶︎
This equation blew my mind // Euler Product Formula

▶︎
The Basel Problem

▶︎
