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René Gateaux
René Eugène Gateaux (Near the footer of page 32, on the left. The image can be enlarged.)In his birth certificate and own signature, his name is written without a circumflex accent, but it is found in some of his own publications, and moreso in many later texts. (; 5 May 1889 – 3 October 1914) was a French people, French mathematician. He is principally known for the Gateaux derivative, used in the calculus of variations and in the theory of optimal control. He died in combat during World War I. Paul Lévy (mathematician), Paul Lévy produced a posthumous edition of his works, extending them considerably, in his ''Leçons d'analyse fonctionnelle'' of 1922. Life Early years Gateaux was born on at Vitry-le-François, Marne (departement), Marne, 222 years after another mathematician, Abraham de Moivre, was born there (de Moivre, being of Huguenot ancestry, fled to London after the Edict of Fontainebleau of 1685). His father had a small saddlery and upholstery business, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vitry-le-François
Vitry-le-François () is a commune in the Marne department in northeastern France. It is located on the river Marne and is the western terminus of the Marne–Rhine Canal. Vitry-le-François station has rail connections to Paris, Reims, Strasbourg, Metz, Dijon and several regional destinations. History The present town is a relatively recent construction, having been built in 1545 at the behest of King Francis who wished to replace, on a new site, Vitry-en-Perthois, which in 1544 had been entirely destroyed as part of the backwash from the king's Italian War of 1542–46. The new Vitry was to be a modern city, constructed according to a plan produced by Girolamo Marini. The king's role in its creation resulted in Vitry-le-François receiving the king's name as part of its own name. At the beginning of World War I in August 1914, Joseph Joffre established the Grand Quartier Général at the Place Royer-Collard. Demography Features * Its church of Notre-Dame is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paul Lévy (mathematician)
Paul Pierre Lévy (15 September 1886 – 15 December 1971) was a French mathematician who was active especially in probability theory, introducing fundamental concepts such as local time, stable distributions and characteristic functions. Lévy processes, Lévy flights, Lévy measures, Lévy's constant, the Lévy distribution, the Lévy area, the Lévy arcsine law, and the fractal Lévy C curve are named after him. Biography Lévy was born in Paris to a Jewish family which already included several mathematicians. His father Lucien Lévy was an examiner at the École Polytechnique. Lévy attended the École Polytechnique and published his first paper in 1905, at the age of nineteen, while still an undergraduate, in which he introduced the Lévy–Steinitz theorem. His teacher and advisor was Jacques Hadamard. After graduation, he spent a year in military service and then studied for three years at the École des Mines, where he became a professor in 1913. During ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Collège De France
The Collège de France (), formerly known as the ''Collège Royal'' or as the ''Collège impérial'' founded in 1530 by François I, is a higher education and research establishment ('' grand établissement'') in France. It is located in Paris near La Sorbonne. The Collège de France is considered to be France's most prestigious research establishment. Research and teaching are closely linked at the Collège de France, whose ambition is to teach "the knowledge that is being built up in all fields of literature, science and the arts". It offers high-level courses that are free, non-degree-granting and open to all without condition or registration. This gives it a special place in the French intellectual landscape. Overview The Collège is considered to be France's most prestigious research establishment. As of 2021, 21 Nobel Prize winners and 9 Fields Medalists have been affiliated with the Collège. It does not grant degrees. Each professor is required to give lectures wher ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Potential Theory
In mathematics and mathematical physics, potential theory is the study of harmonic functions. The term "potential theory" was coined in 19th-century physics when it was realized that two fundamental forces of nature known at the time, namely gravity and the electrostatic force, could be modeled using functions called the gravitational potential and electrostatic potential, both of which satisfy Poisson's equation—or in the vacuum, Laplace's equation. There is considerable overlap between potential theory and the theory of Poisson's equation to the extent that it is impossible to draw a distinction between these two fields. The difference is more one of emphasis than subject matter and rests on the following distinction: potential theory focuses on the properties of the functions as opposed to the properties of the equation. For example, a result about the singularities of harmonic functions would be said to belong to potential theory whilst a result on how the solution dep ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacques Hadamard
Jacques Salomon Hadamard (; 8 December 1865 – 17 October 1963) was a French mathematician who made major contributions in number theory, complex analysis, differential geometry and partial differential equations. Biography The son of a teacher, Amédée Hadamard, of Jewish descent, and Claire Marie Jeanne Picard, Hadamard was born in Versailles, France and attended the Lycée Charlemagne and Lycée Louis-le-Grand, where his father taught. In 1884 Hadamard entered the École Normale Supérieure, having placed first in the entrance examinations both there and at the École Polytechnique. His teachers included Tannery, Hermite, Darboux, Appell, Goursat and Picard. He obtained his doctorate in 1892 and in the same year was awarded the for his essay on the Riemann zeta function. In 1892 Hadamard married Louise-Anna Trénel, also of Jewish descent, with whom he had three sons and two daughters. The following year he took up a lectureship in the University of Bordeaux, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vito Volterra
Vito Volterra (, ; 3 May 1860 – 11 October 1940) was an Italian mathematician and physicist, known for his contributions to mathematical biology and integral equations, being one of the founders of functional analysis. Biography Born in Ancona, then part of the Papal States, into a very poor Jewish family: his father was Abramo Volterra and his mother, Angelica Almagià . Abramo Volterra died in 1862 when Vito was two years old. The family moved to Turin, and then to Florence, where he studied at the Dante Alighieri Technical School and the Galileo Galilei Technical Institute. Volterra showed early promise in mathematics before attending the University of Pisa, where he fell under the influence of Enrico Betti, and where he became professor of rational mechanics in 1883. He immediately started work developing his theory of functionals which led to his interest and later contributions in integral and integro-differential equations. His work is summarised in his book ''Th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Functional Analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense. The historical roots of functional analysis lie in the study of spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuous, unitary etc. operators between function spaces. This point of view turned out to be particularly useful for the study of differential and integral equations. The usage of the word '' functional'' as a noun goes back to the calculus of variations, implying a function whose argument is a function. The term was first used in Hadamard's 1910 book on that subject. However, the general concept of a functional had previously been introduced in 1887 by the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bar-le-Duc, Meuse
Bar-le-Duc (), formerly known as Bar, is a commune in the Meuse département, of which it is the capital. The department is in Grand Est in northeastern France. The lower, more modern and busier part of the town extends along a narrow valley, shut in by wooded or vine-clad hills, and is traversed throughout its length by the Ornain, which is crossed by several bridges. It is limited towards the north-east by the Marne–Rhine Canal, on the south-west by a small arm of the Ornain, called the ''Canal des Usines'', on the left bank of which the upper town (''Ville Haute'') is situated. The highly rarefied Bar-le-duc jelly, also known as Lorraine jelly, is a spreadable preparation of white currant or red currant fruit preserves, hailing from this town. First referenced in the historical record in 1344, it is also colloquially referred to as "Bar caviar". History Bar-le-Duc was at one time the seat of the county, from 1354 the Duchy of Bar. Though probably of ancient ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Émile Borel
Félix Édouard Justin Émile Borel (; 7 January 1871 – 3 February 1956) was a French mathematician and politician. As a mathematician, he was known for his founding work in the areas of measure theory and probability. Biography Borel was born in Saint-Affrique, Aveyron, the son of a Protestant pastor. He studied at the Collège Sainte-Barbe and Lycée Louis-le-Grand before applying to both the École normale supérieure and the École Polytechnique. He qualified in the first position for both and chose to attend the former institution in 1889. That year he also won the concours général, an annual national mathematics competition. After graduating in 1892, he placed first in the agrégation, a competitive civil service examination leading to the position of professeur agrégé. His thesis, published in 1893, was titled ''Sur quelques points de la théorie des fonctions'' ("On some points in the theory of functions"). That year, Borel started a four-year stint as a lectu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Roman Catholicism
The Catholic Church, also known as the Roman Catholic Church, is the largest Christian church, with 1.3 billion baptized Catholics worldwide . It is among the world's oldest and largest international institutions, and has played a prominent role in the history and development of Western civilization. O'Collins, p. v (preface). The church consists of 24 ''sui iuris'' churches, including the Latin Church and 23 Eastern Catholic Churches, which comprise almost 3,500 dioceses and eparchies located around the world. The pope, who is the bishop of Rome, is the chief pastor of the church. The bishopric of Rome, known as the Holy See, is the central governing authority of the church. The administrative body of the Holy See, the Roman Curia, has its principal offices in Vatican City, a small enclave of the Italian city of Rome, of which the pope is head of state. The core beliefs of Catholicism are found in the Nicene Creed. The Catholic Church teaches that it is the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
École Normale Supérieure
École may refer to: * an elementary school in the French educational stages normally followed by secondary education Secondary education or post-primary education covers two phases on the International Standard Classification of Education scale. Level 2 or lower secondary education (less commonly junior secondary education) is considered the second and final ph ... 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, a French-American bilingual school in New York City Ecole may refer to: * Ecole Software, a Japanese video-games developer/publisher {{disambiguation, geo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Edict Of Fontainebleau
The Edict of Fontainebleau (22 October 1685) was an edict issued by French King Louis XIV and is also known as the Revocation of the Edict of Nantes. The Edict of Nantes (1598) had granted Huguenots the right to practice their religion without state persecution. Protestants had lost their independence in places of refuge under Cardinal Richelieu on account of their supposed insubordination, but they continued to live in comparative security and political contentment. From the outset, religious toleration in France had been a royal, rather than popular, policy. The lack of universal adherence to his religion did not sit well with Louis XIV's vision of perfected autocracy.Palmer, ''eo. loc.'' Edict of Nantes The Edict of Nantes had been issued on 13 April 1598 by Henry IV of France and granted the Calvinist Protestants of France, also known as Huguenots, substantial rights in the predominantly- Catholic state. Henry aimed at promoting civil unity by the edict. The ed ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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