History of calculus | Linear algebraists | French geometers | Mathematical analysts

Augustin-Louis Cauchy

Baron Augustin-Louis Cauchy FRS FRSE (/koʊˈʃiː/, koh-SHEE; French: [oɡystɛ̃ lwi koʃi]; 21 August 1789 – 23 May 1857) was a French mathematician, engineer, and physicist who made pioneering contributions to several branches of mathematics, including mathematical analysis and continuum mechanics. He was one of the first to state and rigorously prove theorems of calculus, rejecting the heuristic principle of the generality of algebra of earlier authors. He almost singlehandedly founded complex analysis and the study of permutation groups in abstract algebra. A profound mathematician, Cauchy had a great influence over his contemporaries and successors; Hans Freudenthal stated: "More concepts and theorems have been named for Cauchy than for any other mathematician (in elasticity alone there are sixteen concepts and theorems named for Cauchy)." Cauchy was a prolific writer; he wrote approximately eight hundred research articles and five complete textbooks on a variety of topics in the fields of mathematics and mathematical physics. (Wikipedia).

Augustin-Louis Cauchy
Video thumbnail

Commémoration Joseph-Louis Lagrange au Panthéon - 6 décembre 2013

Le 6 décembre 2013, l'Institut Henri Poincaré rendait hommage au mathématicien Joseph-Louis Lagrange (1736-1813), mort il y a 200 ans. Lors d'une journée de conférences, l'assemblée s'est rendue au Panthéon de Paris, déposer une gerbe sur la tombe de Lagrange, et écouter un discours de Jér

From playlist Bicentenaire Joseph-Louis Lagrange

Video thumbnail

5 - Grothendieck et la théorie de Galois

Orateur(s) : T. Szamuely Public : Tous Date : mardi 25 octobre Lieu : Institut Henri Poincaré

From playlist Colloque Evariste Galois

Video thumbnail

Journées Hénon - 12/21 - Jean-Marc Petit

Michel Hénon, un esprit ludique et simplificateur !

From playlist Michel Hénon Memoriam

Video thumbnail

Clair de Lune

Clair de Lune by Claude Debussy.

From playlist Brilliant Music

Video thumbnail

Integral test for Series

Free ebook http://bookboon.com/en/learn-calculus-2-on-your-mobile-device-ebook Integral test for series. Some examples are discussed. In mathematics, the integral test for convergence is a method used to test infinite series of non-negative terms for convergence. It was developed by Col

From playlist A second course in university calculus.

Video thumbnail

Journées Hénon - 20/21 - André Brahic

Michel Hénon : un modèle pour nous tous

From playlist Michel Hénon Memoriam

Video thumbnail

Tristan Riviere: The work of Louis Nirenberg on Partial Differential Equations

Original title of the lecture: "Exploring the unknown, the work of Louis Nirenberg on Partial Differential Equations" We had to shorten the title to fit Youtubes limitations of title length. Abastract: Partial differential equations are a central object in the mathematical modeling of na

From playlist Abel Lectures

Video thumbnail

The Fractional Derivative, what is it? | Introduction to Fractional Calculus

This video explores another branch of calculus, fractional calculus. It talks about the Riemann–Liouville Integral and the Left Riemann–Liouville Fractional Derivative, and ends with an application to the Tautochrone Problem. Brachistochrone: https://www.youtube.com/watch?v=skvnj67YGmw ht

From playlist Analysis

Video thumbnail

De Gaulle - Force of Character

Portraits of Power - DeGaulle - Force of Character Narrated by Henry Fonda Charles André Joseph Marie de Gaulle was a French general and statesman who led the Free French Forces during World War II. He later founded the French Fifth Republic in 1958 and served as its first president from

From playlist Portraits of Power - Those who shaped the Twentieth Century

Video thumbnail

Sophie Germain - Mathematics for the Modern Age #SoME2

Sophie Germain (1776-1831) was a French mathematician who made huge contributions to physics with her foundational work on elasticity theory, revolutionised mathematics with her work on calculus and… gave Schrödinger the tools he needed to formulate his wave equation for quantum mechanics!

From playlist Summer of Math Exposition 2 videos

Video thumbnail

Mod-04 Lec-26 Autobiography

English Language and Literature by Dr. Liza Das & Dr. Krishna Barua,Department of Humanities and Social Sciences,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Guwahati: English Language and Literature | CosmoLearning.org English Language

Video thumbnail

20. The Early Middle Ages, 284--1000: Intellectuals and the Court of Charlemagne

The Early Middle Ages, 284--1000 (HIST 210) In this lecture, Professor Freedman discusses the Carolingian Renaissance, the revival of learning sponsored by Charlemagne and his successors. The period before the Carolingians saw a decline in learning, evidenced in part by the loss of lay li

From playlist The Early Middle Ages, 284--1000 with Paul Freedman

Video thumbnail

Maximilien Robespierre and the Reign of Terror (Full Series)

The year is 1793, Louis XVI has just been executed. France is devastated by its civil war and is now threatened by the 1st Coalition. Paranoia and terror, oh, terror grips the country by its throat as the people ask for more and more purges. As a result, almost 17,000 are executed in just

From playlist Liberté, Egalité, Fraternité!

Video thumbnail

Driving Downtown - Early Morning on Bourbon St – New Orleans Louisiana

New Orleans is a major United States port and the largest city and metropolitan area in the state ofLouisiana. The population of the city was 343,829 as of the 2010 U.S. Census.[2][3] The New Orleans metropolitan area (New Orleans–Metairie–Kenner Metropolitan Statistical Area) had a popula

From playlist Driving Downtown Originals

Video thumbnail

Napoleon Bonaparte: Master of Europe - Part 2

This is part two of my Napoleon Bonaparte Series how he came to power in the french revolution and the help of Robespierre to launch a continent spanning war and declaring himself master of Europe and emperor of the french Explaining why he's so revered in history and what made him specia

From playlist Biographies

Video thumbnail

De Gaulle - Republican Monarch

Portraits of Power - DeGaulle - Republican Monarch Narrated by Henry Fonda Charles André Joseph Marie de Gaulle was a French general and statesman who led the Free French Forces during World War II. He later founded the French Fifth Republic in 1958 and served as its first president from

From playlist Portraits of Power - Those who shaped the Twentieth Century

Video thumbnail

Maximilien Robespierre and the Reign of Terror (Final Part)

The year is 1793, Louis XVI has just been executed. France is devastated by its civil war and is now threatened by the 1st Coalition. Paranoia and terror, oh, terror grips the country by its throat as the people ask for more and more purges. As a result, almost 17,000 are executed in just

From playlist Historical Series

Related pages

Feedback | Cauchy condensation test | Cauchy–Schwarz inequality | Cauchy's theorem (group theory) | Complex analysis | Pierre de Fermat | Argument principle | Spectral theorem | Cauchy–Binet formula | Nyquist stability criterion | Cauchy's integral formula | Gaspard Monge | Cauchy sequence | Cauchy–Hadamard theorem | Intermediate value theorem | Joseph Liouville | Latitude | Limit of a function | Mathematical analysis | Problem of Apollonius | Cauchy surface | Absolute convergence | Taylor's theorem | Permutation group | Regular polyhedron | Symmetric group | Generality of algebra | Hans Freudenthal | Signed-digit representation | Euler characteristic | Fermat polygonal number theorem | Cauchy's convergence test | Implicit function theorem | Cauchy principal value | Pierre Alphonse Laurent | Cauchy boundary condition | Cauchy product | Complex plane | Laurent series | Residue theorem | Uniform continuity | Limit (mathematics) | Mathematics | Cauchy–Rassias stability | Cauchy–Riemann equations | Viktor Bunyakovsky | Gradient descent | Cauchy formula for repeated integration | Holomorphic function | Limit of a sequence | Calculus | Infinitesimal | Cauchy distribution | Abstract algebra | Wave | Charles Hermite | Operational calculus | Cauchy's functional equation | Cauchy's integral theorem | Cauchy problem | Cauchy–Euler equation | Matrix (mathematics) | Lazare Carnot | Leonhard Euler | Pierre-Simon Laplace | Circle | Cauchy stress tensor | Cauchy momentum equation | Cauchy's theorem (geometry)