LA CONSTANTE D'EULER
π and e are undoubtedly the two most famous mathematical constants. Next come probably the golden ratio and... Euler's constant. This video is dedicated to the latter, denoted by the lowercase Greek letter γ (gamma). Some useful links: Calculating hundreds of billions of decimal places of γ with the Y-cruncher software: https://ehfd.github.io/world-record/e... The article by Berndt and Huber on Ramanujan's formula: https://scholarworks.utrgv.edu/cgi/vi... Two articles co-authored by Xavier Gourdon and Pascal Sebbah: http://numbers.computation.free.fr/Co... http://numbers.computation.free.fr/Co... Video outline: 00:00 Introduction 00:26 Supposed origin of the π notation 01:05 Supposed origin of the e notation 01:54 Definition of the Euler-Mascheroni constant 02:47 Three clarifications... 04:09 Presentation of the three parts 04:40 Part 1: Convergence 07:59 Part 2: Asymptotic expansion for H(n) = 1 + 1/2 + ... + 1/n 10:26 Part 3: Some elegant formulas involving γ 12:35 Epilogue
SÉRIES ABSOLUMENT CONVERGENTES
Logarithmes et exponentielle. A la découverte du nombre e d'Euler.
What is Euler's formula actually saying? | Ep. 4 Lockdown live math
Défier les inégalités avec la démonstration par récurrence
Le Plus Ancien Problème Non Résolu en Mathématiques
The Euler Mascheroni Constant
The Feigenbaum Constant (4.669) - Numberphile
Euler's real identity NOT e to the i pi = -1
Le nombre "e"
The mystery of 0.577 - Numberphile
![La formule qui a radicalement transformé la finance mondiale [Black-Scholes]](https://i.ytimg.com/vi/XE7FKLfZzBA/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLB1Il9cOJNyHbWA2kr7S_duw9Kp4g)
La formule qui a radicalement transformé la finance mondiale [Black-Scholes]
L'histoire magique du nombre "e"
This equation blew my mind // Euler Product Formula
![Riemann, l’homme qui a courbé l’espace et défié les nombres premiers [PODCAST]](https://i.ytimg.com/vi/SRiEBIroADE/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLCVbzZ-Duq_urstI2CpJ9M4CSTIvg)
Riemann, l’homme qui a courbé l’espace et défié les nombres premiers [PODCAST]
Jancovici détruit l'IA en 10 minutes ! "c'est une connerie"
Where does “e” come from?
Langage mathématique - Alain Connes
ASMR Best Triggers For Sleep Collection (No Talking) 3 Hours of Tapping & Scratching
The Basel Problem
