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Sophie Germain
Marie-Sophie Germain (; 1 April 1776 – 27 June 1831) was a French mathematician, physicist, and philosopher. Despite initial opposition from her parents and difficulties presented by society, she gained education from books in her father's library, including ones by Euler, and from correspondence with famous mathematicians such as Lagrange, Legendre, and Gauss (under the pseudonym of Monsieur Le Blanc). One of the pioneers of elasticity theory, she won the grand prize from the Paris Academy of Sciences for her essay on the subject. Her work on Fermat's Last Theorem provided a foundation for mathematicians exploring the subject for hundreds of years after. Because of prejudice against her sex, she was unable to make a career out of mathematics, but she worked independently throughout her life. Before her death, Gauss had recommended that she be awarded an honorary degree, but that never occurred. On 27 June 1831, she died from breast cancer. At the centenary of her life, a stree ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sophie Germain Prime
In number theory, a prime number ''p'' is a if 2''p'' + 1 is also prime. The number 2''p'' + 1 associated with a Sophie Germain prime is called a . For example, 11 is a Sophie Germain prime and 2 × 11 + 1 = 23 is its associated safe prime. Sophie Germain primes and safe primes have applications in public key cryptography and primality testing. It has been conjectured that there are infinitely many Sophie Germain primes, but this remains unproven. Sophie Germain primes are named after French mathematician Sophie Germain, who used them in her investigations of Fermat's Last Theorem. One attempt by Germain to prove Fermat’s Last Theorem was to let ''p'' be a prime number of the form 8''k'' + 7 and to let ''n'' = ''p'' – 1. In this case, x^n + y^n = z^n is unsolvable. Germain’s proof, however, remained unfinished. Through her attempts to solve Fermat's Last Theorem, Germain developed a result now known as Germain's Theore ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zacharie Astruc
Zacharie Astruc (23 February 1833 in Angers – 24 May 1907 in Paris) was a French sculptor, painter, poet, and art critic. Biography Astruc was an important figure in the cultural life of France in the second half of the 19th century, and participated in the First Impressionist Exhibition of 1874 and also in the Exposition Universelle of 1900. As an art critic, writing primarily between 1859–72, he was a strong defender of Courbet, and was one of the first to recognize the talent of Manet, who he had befriended as early as 1854, or 1857 at the latest. He also defended Monet, Whistler, Carolus-Duran, Fantin-Latour, and Alphonse Legros. Art historian Michael Fried has written that Astruc "more than any other writer spoke for Manet's generation" and that "between 1859 and 1863 the young Astruc may have been the best critic of new art in France." Astruc had a very wide range of artistic interests, both in subject and in form. Before becoming most well-known as a sculpt ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bourgeoisie
The bourgeoisie ( , ) are a class of business owners, merchants and wealthy people, in general, which emerged in the Late Middle Ages, originally as a "middle class" between the peasantry and aristocracy. They are traditionally contrasted with the proletariat by their wealth, political power, and education, as well as their access to and control of cultural, social, and financial capital. The bourgeoisie in its original sense is intimately linked to the political ideology of liberalism and its existence within cities, recognised as such by their urban charters (e.g., municipal charters, town privileges, German town law), so there was no bourgeoisie apart from the citizenry of the cities. Rural peasants came under a different legal system. In communist philosophy, the bourgeoisie is the social class that came to own the means of production during modern industrialisation and whose societal concerns are the value of private property and the preservation of capital t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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. Solid objects will deform when adequate loads are applied to them; if the material is elastic, the object will return to its initial shape and size after removal. This is in contrast to ''plasticity'', in which the object fails to do so and instead remains in its deformed state. The physical reasons for elastic behavior can be quite different for different materials. In metals, the Crystal structure, atomic lattice changes size and shape when forces are applied (energy is added to the system). When forces are removed, the lattice goes back to the original lower energy state. For rubber elasticity, rubbers and other polymers, elasticity is caused by the stretching of polymer chains when forces are applied. Hooke's law states that the force required to deform elastic objects should be Prop ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Number Theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example, rational numbers), or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory can often be understood through the study of Complex analysis, analytical objects, such as the Riemann zeta function, that encode properties of the integers, primes or other number-theoretic objects in some fashion (analytic number theory). One may also study real numbers in relation to rational numbers, as for instance how irrational numbers can be approximated by fractions (Diophantine approximation). Number theory is one of the oldest branches of mathematics alongside geometry. One quirk of number theory is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
École Polytechnique
(, ; also known as Polytechnique or l'X ) is a ''grande école'' located in Palaiseau, France. It specializes in science and engineering and is a founding member of the Polytechnic Institute of Paris. The school was founded in 1794 by mathematician Gaspard Monge during the French Revolution and was militarized under Napoleon I in 1804. It is still supervised by the Ministry of Armed Forces (France), French Ministry of Armed Forces. Originally located in the Latin Quarter, Paris, Latin Quarter in central Paris, the institution moved to Palaiseau in 1976, in the Paris-Saclay, Paris-Saclay technology cluster. French engineering students undergo initial military training and have the status of paid Aspirant, officer cadets. The school has also been awarding doctorates since 1985, masters since 2005 and bachelors since 2017. Most Polytechnique engineering graduates go on to become top executives in companies, senior civil servants, military officers, or researchers. List of É ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Porton Antigua Sede École Polytechnique Sainte Geneviève
Porton is a village in the Bourne valley, Wiltshire, England, about northeast of Salisbury. It is the largest settlement in Idmiston civil parish. The village gives its name to the nearby Porton Down military science park, which is home to the Defence Science and Technology Laboratory and related businesses. Religious sites The Baptist faith flourished in this part of Wiltshire in the 17th century, then declined in the 18th. A chapel was built to the south of Porton village in 1865 and enlarged in the 1920s; it was still in use in 2022. The chapel closed in 2024. The Anglican Church of St Nicholas was built in 1877 to designs by J. L. Pearson, replacing a building from the 16th century or earlier. Built in flint with brick dressings under a tiled roof, the church has a nave with a south porch and bellcote, and a chancel with a vestry. The octagonal font is from the 14th or 15th century, and there is stained glass by Clayton and Bell. St Nicholas became the parish church in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Étienne Bézout
Étienne Bézout (; 31 March 1730 – 27 September 1783) was a French mathematician who was born in Nemours, Seine-et-Marne, France, and died in Avon (near Fontainebleau), France. Work In 1758 Bézout was elected an adjoint in mechanics of the French Academy of Sciences. Besides numerous minor works, he wrote a ''Théorie générale des équations algébriques'', published at Paris in 1779, which in particular contained much new and valuable matter on the theory of elimination and symmetrical functions of the roots of an equation: he used determinants in a paper in the ''Histoire de l'académie royale'', 1764, but did not treat the general theory. Publications * Legacy After his death, a statue was erected in his birth town, Nemours, to commemorate his achievements. In 2000, the minor planet 17285 Bezout was named after him. See also * Little Bézout's theorem * Bézout's theorem * Bézout's identity * Bézout matrix * Bézout domain References *''The origin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Isaac Newton
Sir Isaac Newton () was an English polymath active as a mathematician, physicist, astronomer, alchemist, theologian, and author. Newton was a key figure in the Scientific Revolution and the Age of Enlightenment, Enlightenment that followed. His book (''Mathematical Principles of Natural Philosophy''), first published in 1687, achieved the Unification of theories in physics#Unification of gravity and astronomy, first great unification in physics and established classical mechanics. Newton also made seminal contributions to optics, and Leibniz–Newton calculus controversy, shares credit with German mathematician Gottfried Wilhelm Leibniz for formulating calculus, infinitesimal calculus, though he developed calculus years before Leibniz. Newton contributed to and refined the scientific method, and his work is considered the most influential in bringing forth modern science. In the , Newton formulated the Newton's laws of motion, laws of motion and Newton's law of universal g ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Archimedes
Archimedes of Syracuse ( ; ) was an Ancient Greece, Ancient Greek Greek mathematics, mathematician, physicist, engineer, astronomer, and Invention, inventor from the ancient city of Syracuse, Sicily, Syracuse in History of Greek and Hellenistic Sicily, Sicily. Although few details of his life are known, based on his surviving work, he is considered one of the leading scientists in classical antiquity, and one of the greatest mathematicians of all time. Archimedes anticipated modern calculus and mathematical analysis, analysis by applying the concept of the Cavalieri's principle, infinitesimals and the method of exhaustion to derive and rigorously prove many geometry, geometrical theorem, theorems, including the area of a circle, the surface area and volume of a sphere, the area of an ellipse, the area under a parabola, the volume of a segment of a paraboloid of revolution, the volume of a segment of a hyperboloid of revolution, and the area of a spiral. Archimedes' other math ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jean-Étienne Montucla
Jean-Étienne Montucla (5 September 1725 – 18 December 1799) was a French mathematician and historian. Montucla was born at Lyon, France. Career In 1754 he published an anonymous treatise on quadrature, ''Histoire des recherches sur la quadrature du cercle''. Montucla's deep interest in history of mathematics became apparent with his publication of ''Histoire des Mathématiques'', the first part appearing in 1758. According to George Sarton, the ''Histoire'' is :a history of the mathematical sciences, and might almost be called a history of science from the mathematical angle, even as many histories of medicine are to some extent histories of science written from the medical angle. He was appointed intendant-secretary of Grenoble in 1758, secretary to the expedition for colonizing Cayenne in 1764, and chief architect and censor-royal for mathematical books in 1765. In 1778 he re-edited Jacques Ozanam's ''Recreations mathématiques'', afterwards published in English by Ch ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
