Joseph Alfred Serret

	Joseph Alfred Serret Joseph-Alfred Serret (; August 30, 1819 – March 2, 1885) was a French mathematician who was born in Paris, France, and died in Versailles, France. See also Frenet–Serret formulas In differential geometry, the Frenet–Serret formulas describe the kinematic properties of a particle moving along a differentiable curve in three-dimensional Euclidean space \R^3, or the geometric properties of the curve itself irrespective o ... Books by J.-A. Serret Traité de trigonométrie(Gautier-Villars, 1880) Cours de calcul differentiel et integral t. 1(Gauthier-Villars, 1900) Cours de calcul differentiel et integral t. 2(Gauthier-Villars, 1900) Cours d'algèbre supérieure. Tome I(Gauthier-Villars, 1877) Cours d'algèbre supérieure. Tome II(Gauthier-Villars, 1879) External links * 1819 births 1885 deaths 19th-century French mathematicians École Polytechnique alumni Members of the French Academy of Sciences Differential geometers {{France-mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Paris Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of cities in the European Union by population within city limits, fourth-most populous city in the European Union and the List of cities proper by population density, 30th most densely populated city in the world in 2022. Since the 17th century, Paris has been one of the world's major centres of finance, diplomacy, commerce, culture, Fashion capital, fashion, and gastronomy. Because of its leading role in the French art, arts and Science and technology in France, sciences and its early adoption of extensive street lighting, Paris became known as the City of Light in the 19th century. The City of Paris is the centre of the Île-de-France region, or Paris Region, with an official estimated population of 12,271,794 inhabitants in January 2023, or ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	France France, officially the French Republic, is a country located primarily in Western Europe. Overseas France, Its overseas regions and territories include French Guiana in South America, Saint Pierre and Miquelon in the Atlantic Ocean#North Atlantic, North Atlantic, the French West Indies, and List of islands of France, many islands in Oceania and the Indian Ocean, giving it Exclusive economic zone of France, one of the largest discontiguous exclusive economic zones in the world. Metropolitan France shares borders with Belgium and Luxembourg to the north; Germany to the northeast; Switzerland to the east; Italy and Monaco to the southeast; Andorra and Spain to the south; and a maritime border with the United Kingdom to the northwest. Its metropolitan area extends from the Rhine to the Atlantic Ocean and from the Mediterranean Sea to the English Channel and the North Sea. Its Regions of France, eighteen integral regions—five of which are overseas—span a combined area of and hav ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Versailles (city) Versailles ( , ) is a commune in the department of the Yvelines, Île-de-France, known worldwide for the Château de Versailles and the gardens of Versailles, which is designated an UNESCO World Heritage Sites. Located in the western suburbs of the French capital, from the centre of Paris, Versailles is a wealthy suburb of Paris with a service-based economy and is a major tourist destination. According to the 2017 census, the population of the city is 85,862, down from a peak of 94,145 in 1975.Population en historique depuis 1968 , INSEE A new town founded by order of King Louis XIV , Ve ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), Mathematical analysis, analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of mathematical object, abstract objects that consist of either abstraction (mathematics), abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to proof (mathematics), prove properties of objects, a ''proof'' consisting of a succession of applications of in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Frenet–Serret Formulas In differential geometry, the Frenet–Serret formulas describe the kinematic properties of a particle moving along a differentiable curve in three-dimensional Euclidean space \R^3, or the geometric properties of the curve itself irrespective of any motion. More specifically, the formulas describe the derivatives of the so-called tangent, normal, and binormal unit vectors in terms of each other. The formulas are named after the two French mathematicians who independently discovered them: Jean Frédéric Frenet, in his thesis of 1847, and Joseph Alfred Serret, in 1851. Vector notation and linear algebra currently used to write these formulas were not yet available at the time of their discovery. The tangent, normal, and binormal unit vectors, often called , , and , or collectively the Frenet–Serret basis (or TNB basis), together form an orthonormal basis that spans \R^3, and are defined as follows: * is the unit vector tangent to the curve, pointing in the direction of mot ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	French People French people () are a nation primarily located in Western Europe that share a common Culture of France, French culture, History of France, history, and French language, language, identified with the country of France. The French people, especially the native speakers of langues d'oïl from northern and central France, are primarily descended from Roman people, Romans (or Gallo-Romans, western European Celts, Celtic and Italic peoples), Gauls (including the Belgae), as well as Germanic peoples such as the Franks, the Visigoths, the Suebi and the Burgundians who settled in Gaul from east of the Rhine after the fall of the Roman Empire, as well as various later waves of lower-level irregular migration that have continued to the present day. The Norsemen also settled in Normandy in the 10th century and contributed significantly to the ancestry of the Normans. Furthermore, regional ethnic minorities also exist within France that have distinct lineages, languages and cultures such ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematical model, models, and mathematics#Calculus and analysis, change. History One of the earliest known mathematicians was Thales of Miletus (); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem. The number of known mathematicians grew when Pythagoras of Samos () established the Pythagorean school, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman math ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	1819 Births Events January–March * January 2 – The Panic of 1819, the first major peacetime financial crisis A financial crisis is any of a broad variety of situations in which some financial assets suddenly lose a large part of their nominal value. In the 19th and early 20th centuries, many financial crises were associated with Bank run#Systemic banki ... in the United States, begins. * January 25 – Thomas Jefferson founds the University of Virginia. * January 29 – Sir Stamford Raffles lands on the island of Singapore. * February 2 – ''Dartmouth College v. Woodward'': The Supreme Court of the United States under John Marshall rules in favor of Dartmouth College, allowing Dartmouth to keep its charter and remain a private institution. * February 6 – The 1819 Singapore Treaty, Treaty of Singapore, is signed between Hussein Shah of Johor and Sir Stamford Raffles of Britain, to create a trading settlement in Singapore. * February 15 – The U ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	1885 Deaths Events January * January 3– 4 – Sino-French War – Battle of Núi Bop: French troops under General Oscar de Négrier defeat a numerically superior Qing Chinese force, in northern Vietnam. * January 17 – Mahdist War in Sudan – Battle of Abu Klea: British troops defeat Mahdist forces. * January 20 – American inventor LaMarcus Adna Thompson patents a roller coaster. * January 24 – Irish rebels damage Westminster Hall and the Tower of London with dynamite. * January 26 – Mahdist War in Sudan: Troops loyal to Mahdi Muhammad Ahmad conquer Khartoum; British commander Charles George Gordon is killed. February * February 5 – King Leopold II of Belgium establishes the Congo Free State, as a personal possession. * February 9 – The first Japanese arrive in Hawaii. * February 16 – Charles Dow publishes the first edition of the Dow Jones Industrial Average. The index stands at a level of 62.76, and represents the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	19th-century French Mathematicians The 19th century began on 1 January 1801 (represented by the Roman numerals MDCCCI), and ended on 31 December 1900 (MCM). It was the 9th century of the 2nd millennium. It was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanded beyond its British homeland for the first time during the 19th century, particularly remaking the economies and societies of the Low Countries, France, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Catholic Church, in response to the growing influence and power of modernism, secularism and materialism, formed the First Vatican Council in the late 19th century to deal with such problems and confirm ce ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	École Polytechnique Alumni École or Ecole may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * École, Savoie, a French commune * École-Valentin, a French commune in the Doubs département * Grandes écoles, higher education establishments in France * The École The École, formerly Ecole Internationale de New York, is an intimate and independent French-American school, which cultivates an internationally minded community of students from 2 to 14 years old in New York City’s vibrant Flatiron Distric ..., a French-American bilingual school in New York City * Ecole Software, a Japanese video-games developer/publisher {{disambiguation, geo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Members Of The French Academy Of Sciences Member may refer to: * Military jury, referred to as "Members" in military jargon * Element (mathematics), an object that belongs to a mathematical set * In object-oriented programming, a member of a class Field (computer science) In data hierarchy, a field (data field) is a Variable (computer science), variable in a record (computer science), record. A record, also known as a data structure, allows logically related data to be identified by a single name. Identifying relate ..., entries in a database Member variable, a variable that is associated with a specific object * Limb (anatomy), an appendage of the human or animal body ** Euphemism for penis * Structural component of a truss, connected by nodes * User (computing), a person making use of a computing service, especially on the Internet * Member (geology), a component of a geological formation * Member of parliament * The Members, a British punk rock band * Meronymy, a semantic relationship in linguistics * C ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]