Mental calculators | Mathematical analysts | Latin squares | Number theorists
Leonhard Euler (/ˈɔɪlər/ OY-lər, German: [ˈɔʏlɐ]; 15 April 1707 – 18 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in many other branches of mathematics such as analytic number theory, complex analysis, and infinitesimal calculus. He introduced much of modern mathematical terminology and notation, including the notion of a mathematical function. He is also known for his work in mechanics, fluid dynamics, optics, astronomy and music theory. Euler is held to be one of the greatest mathematicians in history and the greatest of the 18th century. A statement attributed to Pierre-Simon Laplace expresses Euler's influence on mathematics: "Read Euler, read Euler, he is the master of us all." Carl Friedrich Gauss remarked: "The study of Euler's works will remain the best school for the different fields of mathematics, and nothing else can replace it." Euler is also widely considered to be the most prolific; his 866 publications as well as his correspondences are collected in the Opera Omnia Leonhard Euler which, when completed, will consist of 81 quarto volumes. He spent most of his adult life in Saint Petersburg, Russia, and in Berlin, then the capital of Prussia. Euler is credited for popularizing the Greek letter (lowercase pi) to denote the ratio of a circle's circumference to its diameter, as well as first using the notation for the value of a function, the letter to express the imaginary unit , the Greek letter (capital sigma) to express summations, the Greek letter (uppercase delta) for finite differences, and lowercase letters to represent the sides of a triangle while representing the angles as capital letters. He gave the current definition of the constant , the base of the natural logarithm, now known as Euler's number. Euler was also the first practitioner of graph theory (partly as a solution for the problem of the Seven Bridges of Königsberg). He became famous for, among many other accomplishments, solving the Basel problem, after proving that the sum of the infinite series of squared integer reciprocals equaled exactly π2/6, and for discovering that the sum of the numbers of vertices and faces minus edges of a polyhedron equals 2, a number now commonly known as the Euler characteristic. In the field of physics, Euler reformulated Newton's laws of physics into new laws in his two-volume work Mechanica to better explain the motion of rigid bodies. He also made substantial contributions to the study of elastic deformations of solid objects. (Wikipedia).
A (very) Brief History of Leonhard Euler
An incredibly brief history of Leonhard Euler! Not much math in this video, so just a heads up in the event you expect math-heavy. DISCORD ►► https://discord.gg/Jd3tCeK PATREON ►► https://www.patreon.com/moderndaymath
From playlist Mathematics named after Leonhard Euler
Linear Algebra 21g: Euler Angles and a Short Tribute to Leonhard Euler
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 3 Linear Algebra: Linear Transformations
Leonhard Euler and Pentagonal numbers | Arithmetic and Geometry Math Foundations 52 | N J Wildberger
Leonhard Euler was the greatest mathematician of modern times. His work on pentagonal numbers shows that they connect naturally to sums of divisors of numbers, and also to the partition functions. These are both really surprising facts. This lecture is part of the MathFoundations series,
From playlist Math Foundations
Euler Pronunciation: In Depth Analysis
Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, but it will help to support my channel. Thank you! ►PRODUCT RECOMMENDATIONS https://www.amazon.com/shop/brithema
From playlist Fun and Amazing Math
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
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
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 lost an eye to mathematics.
In this video I am talking about Euler's work in the Saint Petersburg academy, Euler's constant, integrals and prime number product formula ! I recommend reading "Leonhard Euler: The First St. Petersburg Years (1727–1741)" by RONALD CALINGER to learn more about Euler. (00:00) - Intro (00
From playlist Math Biographies
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
Featuring Professor Edward Frenkel. More links & stuff in full description below ↓↓↓ Okay, the links... 1. New vid on the Riemann Hypothesis explains where -1/12 comes from: http://youtu.be/d6c6uIyieoo 2.The original videos at http://youtu.be/w-I6XTVZXww AND http://youtu.be/E-d9mgo8FGk 3
From playlist Animations by Pete McPartlan
How the Königsberg bridge problem changed mathematics - Dan Van der Vieren
View full lesson: http://ed.ted.com/lessons/how-the-konigsberg-bridge-problem-changed-mathematics-dan-van-der-vieren You’d have a hard time finding the medieval city Königsberg on any modern maps, but one particular quirk in its geography has made it one of the most famous cities in mathe
From playlist New TED-Ed Originals
The Seven Bridges of Königsberg - Numberphile
Audible 30-day free trial: http://www.audible.com/numberphile (sponsor) More links & stuff in full description below ↓↓↓ This video features Cliff Stoll... and the work of Leonhard Euler. More Cliff videos: http://bit.ly/Cliff_Videos Cliff's Klein Bottles: http://bit.ly/ACME_Klein Suppor
From playlist Cliff Stoll on Numberphile
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
Cauchy's Proof of the Basel Problem | Pi Squared Over Six (3blue1brown SoME1 Entry)
Cauchy's Proof of the Basel Problem | Pi Squared Over Six (3blue1brown SoME1 Entry) // If you're looking for challenging or tricky math problems, you found the right video. The Basel Problem was one of the most challenging math questions that stumped many great mathematicians, including th
From playlist Summer of Math Exposition Youtube Videos
Math in the Modern World | Math and the Rise of Civilization | Documentary series
The 20th century saw mathematics become a major profession. Every year, thousands of new Ph.D.s in mathematics were awarded, and jobs were available in both teaching and industry. An effort to catalogue the areas and applications of mathematics was undertaken in Klein's encyclopedia. In a
From playlist Civilization
What Are The Lagrange Points? Finding Stable Points in Space
There are places in the Solar System where the forces of gravity balance out perfectly. Places we can use to position satellites, space telescopes and even colonies to establish our exploration of the Solar System. These are the Lagrange Points. Support us at: http://www.patreon.com/unive
From playlist Gravity
Euler's characteristic formula, convex polyhedrons and graph theory.
Learn the basic graph theory and Euler's characteristic formula. 0:10 - Graph. 0:42 - Schlegel diagram. 1:26 - Shadow of the cube. 2:08 - Euler's formula. 3:28 - Examples. Leonhard Euler's paper. Title: Elementa doctrinae solidorum (Elements of the doctrine of solids.) https://scholarly
From playlist Summer of Math Exposition 2 videos
Portraits of Power - Hitler - The Road to Revenge Narrated by Henry Fonda Adolf Hitler (20 April 1889 -- 30 April 1945) was an Austrian-born German politician and the leader of the Nazi Party (German: Nationalsozialistische Deutsche Arbeiterpartei (NSDAP); National Socialist German Worker
From playlist Portraits of Power - Those who shaped the Twentieth Century