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Émile Picard, the Glossary

Charles Émile Picard (24 July 1856 – 11 December 1941) was a French mathematician.^[1]

66 relations: Académie Française, Algebraic curve, Algebraic surface, Algebraic topology, American Academy of Arts and Sciences, American Philosophical Society, Ampère Museum, Analytic function, André Weil, Applied mathematics, École Centrale Paris, École normale supérieure (Paris), Émile Picard Medal, Biographical Memoirs of Fellows of the Royal Society, Bulletin of the American Mathematical Society, Charles Hermite, Complex plane, Differential equation, Elasticity (physics), Entire function, Ernest Vessiot, Essential singularity, Fellow of the Royal Society, Fellowship of the Royal Society of Edinburgh, Gaston Julia, Henri Poincaré, Henri Villat, Integral, Internet Archive, Jacques Hadamard, Jean Gaston Darboux, Linear differential equation, Louis Couturat, Lycée Henri-IV, Lyon, Mathematical analysis, Mathematician, Mathematics, Mihailo Petrović Alas, National Academy of Sciences, Painlevé transcendents, Paris, Paul Dubreil, Paul Painlevé, Philippe Le Corbeiller, Picard group, Picard horn, Picard modular group, Picard modular surface, Picard theorem, ... Expand index (16 more) »
French mathematical analysts
Honorary Members of the Russian Academy of Sciences (1917–1925)

Académie Française

The Académie Française, also known as the French Academy, is the principal French council for matters pertaining to the French language.

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Algebraic curve

In mathematics, an affine algebraic plane curve is the zero set of a polynomial in two variables.

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Algebraic surface

In mathematics, an algebraic surface is an algebraic variety of dimension two.

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Algebraic topology

Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.

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American Academy of Arts and Sciences

The American Academy of Arts and Sciences (The Academy) is one of the oldest learned societies in the United States.

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American Philosophical Society

The American Philosophical Society (APS) is an American scholarly organization and learned society founded in 1743 in Philadelphia that promotes knowledge in the humanities and natural sciences through research, professional meetings, publications, library resources, and community outreach.

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Ampère Museum

The Ampère Museum is a museum of the history of electricity dedicated to André-Marie Ampère (1775-1836).

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Analytic function

In mathematics, an analytic function is a function that is locally given by a convergent power series.

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André Weil

André Weil (6 May 1906 – 6 August 1998) was a French mathematician, known for his foundational work in number theory and algebraic geometry. Émile Picard and André Weil are École Normale Supérieure alumni, 20th-century French mathematicians, Foreign Members of the Royal Society, Foreign associates of the National Academy of Sciences and Scientists from Paris.

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Applied mathematics

Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry.

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École Centrale Paris

italic (ECP; also known as italic or Centrale) was a French grande école in engineering and science.

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École normale supérieure (Paris)

The – PSL (also known as ENS,, Ulm or ENS Paris) is a grande école in Paris, France.

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Émile Picard Medal

The Émile Picard Medal (or Médaille Émile Picard) is a medal named for Émile Picard awarded every 6 years to an outstanding mathematician by the Institut de France, Académie des sciences.

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Biographical Memoirs of Fellows of the Royal Society

The Biographical Memoirs of Fellows of the Royal Society is an academic journal on the history of science published annually by the Royal Society.

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Bulletin of the American Mathematical Society

The Bulletin of the American Mathematical Society is a quarterly mathematical journal published by the American Mathematical Society.

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Charles Hermite

Charles Hermite FRS FRSE MIAS (24 December 1822 – 14 January 1901) was a French mathematician who did research concerning number theory, quadratic forms, invariant theory, orthogonal polynomials, elliptic functions, and algebra. Émile Picard and Charles Hermite are 19th-century French mathematicians, Foreign Members of the Royal Society, Lycée Henri-IV alumni and Members of the Ligue de la patrie française.

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Complex plane

In mathematics, the complex plane is the plane formed by the complex numbers, with a Cartesian coordinate system such that the horizontal -axis, called the real axis, is formed by the real numbers, and the vertical -axis, called the imaginary axis, is formed by the imaginary numbers.

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Differential equation

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives.

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Elasticity (physics)

In physics and materials science, elasticity is the ability of a body to resist a distorting influence and to return to its original size and shape when that influence or force is removed.

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Entire function

In complex analysis, an entire function, also called an integral function, is a complex-valued function that is holomorphic on the whole complex plane.

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Ernest Vessiot

Ernest Vessiot (8 March 1865 – 17 October 1952) was a French mathematician. Émile Picard and Ernest Vessiot are École Normale Supérieure alumni.

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Essential singularity

In complex analysis, an essential singularity of a function is a "severe" singularity near which the function exhibits striking behavior.

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Fellow of the Royal Society

Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted by the Fellows of the Royal Society of London to individuals who have made a "substantial contribution to the improvement of natural knowledge, including mathematics, engineering science, and medical science".

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Fellowship of the Royal Society of Edinburgh

Fellowship of the Royal Society of Edinburgh (FRSE) is an award granted to individuals that the Royal Society of Edinburgh, Scotland's national academy of science and letters, judged to be "eminently distinguished in their subject".

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Gaston Julia

Gaston Maurice Julia (3 February 1893 – 19 March 1978) was a French mathematician who devised the formula for the Julia set. Émile Picard and Gaston Julia are École Normale Supérieure alumni and 20th-century French mathematicians.

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Henri Poincaré

Jules Henri Poincaré (29 April 185417 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science. Émile Picard and Henri Poincaré are 19th-century French mathematicians, 20th-century French mathematicians, Corresponding members of the Saint Petersburg Academy of Sciences, Foreign Members of the Royal Society, Foreign associates of the National Academy of Sciences, French mathematical analysts and Members of the Académie Française.

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Henri Villat

Henri René Pierre Villat (24 December 1879 – 19 March 1972) was a French mathematician.

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Integral

In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations.

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Internet Archive

The Internet Archive is an American nonprofit digital library founded in 1996 by Brewster Kahle.

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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. Émile Picard and Jacques Hadamard are École Normale Supérieure alumni, 19th-century French mathematicians, 20th-century French mathematicians, Foreign Members of the Royal Society and Foreign associates of the National Academy of Sciences.

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Jean Gaston Darboux

Jean-Gaston Darboux FAS MIF FRS FRSE (14 August 1842 – 23 February 1917) was a French mathematician. Émile Picard and Jean Gaston Darboux are École Normale Supérieure alumni, 19th-century French mathematicians, 20th-century French mathematicians, Corresponding members of the Saint Petersburg Academy of Sciences, Foreign Members of the Royal Society, Foreign associates of the National Academy of Sciences and Members of the Royal Society of Sciences in Uppsala.

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Linear differential equation

In mathematics, a linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives, that is an equation of the form a_0(x)y + a_1(x)y' + a_2(x)y \cdots + a_n(x)y^.

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Louis Couturat

Louis Couturat (17 January 1868 – 3 August 1914) was a French logician, mathematician, philosopher, and linguist. Émile Picard and Louis Couturat are École Normale Supérieure alumni.

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Lycée Henri-IV

The Lycée Henri-IV is a public secondary school located in Paris.

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Lyon

Lyon (Franco-Provençal: Liyon), formerly spelled in English as Lyons, is the second largest city of France by urban area It is located at the confluence of the rivers Rhône and Saône, to the northwest of the French Alps, southeast of Paris, north of Marseille, southwest of Geneva, northeast of Saint-Étienne.

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Mathematical analysis

Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite sequences, series, and analytic functions.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.

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Mathematics

Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.

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Mihailo Petrović Alas

Mihailo Petrović Alas (Михаило Петровић Алас; 6 May 1868 – 8 June 1943), was a Serbian mathematician and inventor. Émile Picard and Mihailo Petrović Alas are École Normale Supérieure alumni.

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National Academy of Sciences

The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization.

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Painlevé transcendents

In mathematics, Painlevé transcendents are solutions to certain nonlinear second-order ordinary differential equations in the complex plane with the Painlevé property (the only movable singularities are poles), but which are not generally solvable in terms of elementary functions.

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Paris

Paris is the capital and largest city of France.

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Paul Dubreil

Paul Dubreil (1 March 1904 – 9 March 1994) was a French mathematician. Émile Picard and Paul Dubreil are École Normale Supérieure alumni and 20th-century French mathematicians.

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Paul Painlevé

Paul Painlevé (5 December 1863 – 29 October 1933) was a French mathematician and statesman. Émile Picard and Paul Painlevé are École Normale Supérieure alumni.

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Philippe Le Corbeiller

Philippe Emmanuel Le Corbeiller (January 11, 1891 – July 24, 1980) was a French-American electrical engineer, mathematician, physicist, and educator. Émile Picard and Philippe Le Corbeiller are Scientists from Paris.

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Picard group

In mathematics, the Picard group of a ringed space X, denoted by Pic(X), is the group of isomorphism classes of invertible sheaves (or line bundles) on X, with the group operation being tensor product.

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Picard horn

A Picard horn, also called the Picard topology or Picard model, is one of the oldest known hyperbolic 3-manifolds, first described by Émile Picard in 1884.

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Picard modular group

In mathematics, a Picard modular group, studied by, is a group of the form SU(J,L), where L is a 3-dimensional lattice over the ring of integers of an imaginary quadratic field and J is a hermitian form on L of signature (2, 1).

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Picard modular surface

In mathematics, a Picard modular surface, studied by, is a complex surface constructed as a quotient of the unit ball in C2 by a Picard modular group.

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Picard theorem

In complex analysis, Picard's great theorem and Picard's little theorem are related theorems about the range of an analytic function.

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Picard–Fuchs equation

In mathematics, the Picard–Fuchs equation, named after Émile Picard and Lazarus Fuchs, is a linear ordinary differential equation whose solutions describe the periods of elliptic curves.

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Picard–Lefschetz theory

In mathematics, Picard–Lefschetz theory studies the topology of a complex manifold by looking at the critical points of a holomorphic function on the manifold.

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Picard–Lindelöf theorem

In mathematics, specifically the study of differential equations, the Picard–Lindelöf theorem gives a set of conditions under which an initial value problem has a unique solution.

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Picard–Vessiot theory

In differential algebra, Picard–Vessiot theory is the study of the differential field extension generated by the solutions of a linear differential equation, using the differential Galois group of the field extension.

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Poncelet Prize

The Poncelet Prize (Prix Poncelet) is awarded by the French Academy of Sciences.

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Royal Society

The Royal Society, formally The Royal Society of London for Improving Natural Knowledge, is a learned society and the United Kingdom's national academy of sciences.

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Second French Empire

The Second French Empire, officially the French Empire, was an Imperial Bonapartist regime, ruled by Louis-Napoléon Bonaparte (Napoleon III) from 14 January 1852 to 27 October 1870, between the Second and the Third French Republics.

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Sergei Bernstein

Sergei Natanovich Bernstein (Сергі́й Ната́нович Бернште́йн, sometimes Romanized as Bernshtein; 5 March 1880 – 26 October 1968) was a Ukrainian and Russian mathematician of Jewish origin known for contributions to partial differential equations, differential geometry, probability theory, and approximation theory.

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Simion Stoilow

Simion Stoilow or Stoilov (– 4 April 1961) was a Romanian mathematician, creator of the Romanian school of complex analysis, and author of over 100 publications.

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Society of Friends of André-Marie Ampère

The Society of Friends of André-Marie Ampère (“Société des Amis d’André-Marie Ampère” in French, SAAMA) is a scholarly society whose aim is to contribute to perpetuating the memory of André-Marie Ampère through all means it deems appropriate, including conferences, publications, commemorations, collection of documents and apparatus, and the creation and development of a museum, the Ampère Museum.

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References

[1] https://en.wikipedia.org/wiki/Émile_Picard

Also known as Charles Émile Picard, Charles-Émile Picard.

, Picard–Fuchs equation, Picard–Lefschetz theory, Picard–Lindelöf theorem, Picard–Vessiot theory, Poncelet Prize, Royal Society, Second French Empire, Sergei Bernstein, Simion Stoilow, Society of Friends of André-Marie Ampère, Stanisław Zaremba (mathematician), Symmetry group, Telegraphy, Theory of relativity, Traian Lalescu, University of Paris.

Émile Picard, the Glossary

Table of Contents

See also

French mathematical analysts

Honorary Members of the Russian Academy of Sciences (1917–1925)

References