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Enrico Giusti
Enrico Giusti (28 October 1940 – 26 March 2024) was an Italian mathematician mainly known for his contributions to the fields of calculus of variations, regularity theory of partial differential equations, minimal surfaces and history of mathematics. He was professor of mathematics at the Università di Firenze; he also taught and conducted research at the Australian National University at Canberra, at the Stanford University and at the University of California, Berkeley. After retirement, he devoted himself to the managing of the "Giardino di Archimede", a museum entirely dedicated to mathematics and its applications. Giusti was also the editor-in-chief of the international journal dedicated to the history of mathematics ''Bollettino di storia delle scienze matematiche'' (''Bulletin of the history of the mathematical sciences''). One of Giusti's most famous results, obtained with Enrico Bombieri and Ennio De Giorgi, concerned the minimality of Simons' cones, and made it poss ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Priverno
Priverno is a town, ''comune'' in the province of Latina, Lazio, central Italy. It was called ''Piperno'' until 1927. It has a station of the Rome-Naples railway mainline. Nearby is the Monti Lepini chain. It was the birthplace of the canonist Reginald of Piperno. History ''Privernum'' is described by Livy as a flourishing Volscian site, which was conquered and destroyed by the Romans in the late 4th century BC. The Appian Way passed nearby. The town recovered under the Roman rule, but disappeared after the fall of the Western Roman Empire, probably destroyed by Saracen attacks. Researchers studying the concrete used in Privernum concluded that the use of quicklime made ancient Roman concrete more durable than its modern counterpart. It was later a minor center of the Papal States, to which it belonged until the capture of Rome in 1870. Main sights Nearby is the Abbey of Fossanova, which is where the town's patron saint, St. Thomas Aquinas died on 7 March 1274 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ennio De Giorgi
Ennio De Giorgi (8 February 1928 – 25 October 1996) was an Italian mathematician who worked on partial differential equations and the foundations of mathematics. Mathematical work De Giorgi's first work was in geometric measure theory, on the topic of the sets of finite perimeters which he called in 1958 Caccioppoli sets, after his mentor and friend. His definition applied some important analytic tools and De Giorgi's theorem for the sets established a new tool for set theory as well as his own works. This achievement not only brought Ennio immediate recognition but displayed his ability to attack problems using completely new and effective methods which, though conceived before, can be used with greater precision as shown in his research works. De Giorgi solved Bernstein's problem about minimal surfaces for 8 dimensions in 1969 with Enrico Bombieri and Enrico Giusti, for which Bombieri won the Fields Medal in 1974. De Giorgi's earliest work aimed to develop a regularity t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Unione Matematica Italiana
The Italian Mathematical Union () is a mathematical society based in Italy. It was founded on December 7, 1922, by Luigi Bianchi, Vito Volterra, and most notably, Salvatore Pincherle, who became the Union's first President. History Salvatore Pincherle, professor at the University of Bologna, sent on 31 March 1922 a letter to all Italian mathematicians in which he planned the establishment of a national mathematical society. The creation was inspired by similar initiatives in other countries, such as the Société mathématique de France (1872), the Deutsche Mathematiker-Vereinigung (1891), the American Mathematical Society (1891) and, above all, the International Mathematical Union (1920). The most important Italian mathematicians of the time - among all Luigi Bianchi and Vito Volterra - encouraged Pincherle's initiative also by personally sending articles for the future Bulletin; overall, about 180 mathematicians replied to Pincherle's letter. On December 7 of the same ye ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bologna
Bologna ( , , ; ; ) is the capital and largest city of the Emilia-Romagna region in northern Italy. It is the List of cities in Italy, seventh most populous city in Italy, with about 400,000 inhabitants and 150 different nationalities. Its Metropolitan City of Bologna, metropolitan province is home to more than 1 million people. Bologna is most famous for being the home to the List of oldest universities in continuous operation, oldest university in continuous operation,Top Universities ''World University Rankings'' Retrieved 6 January 2010Hunt Janin: "The university in medieval life, 1179–1499", McFarland, 2008, , p. 55f.de Ridder-Symoens, Hilde [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stuttgart
Stuttgart (; ; Swabian German, Swabian: ; Alemannic German, Alemannic: ; Italian language, Italian: ; ) is the capital city, capital and List of cities in Baden-Württemberg by population, largest city of the States of Germany, German state of Baden-Württemberg. It is located on the Neckar river in a fertile valley known as the ''Stuttgarter Kessel'' (Stuttgart Cauldron) and lies an hour from the Swabian Jura and the Black Forest. Stuttgart has a population of 632,865 as of 2022, making it the list of cities in Germany by population, sixth largest city in Germany, while over 2.8 million people live in the city's administrative region and nearly 5.5 million people in Stuttgart Metropolitan Region, its metropolitan area, making it the metropolitan regions in Germany, fourth largest metropolitan area in Germany. The city and metropolitan area are consistently ranked among the List of EU metropolitan regions by GDP#2021 ranking of top four German metropolitan regions, top 5 Europea ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Boston
Boston is the capital and most populous city in the Commonwealth (U.S. state), Commonwealth of Massachusetts in the United States. The city serves as the cultural and Financial centre, financial center of New England, a region of the Northeastern United States. It has an area of and a population of 675,647 as of the 2020 United States census, 2020 census, making it the third-largest city in the Northeastern United States after New York City and Philadelphia. The larger Greater Boston metropolitan statistical area has a population of 4.9 million as of 2023, making it the largest metropolitan area in New England and the Metropolitan statistical area, eleventh-largest in the United States. Boston was founded on Shawmut Peninsula in 1630 by English Puritans, Puritan settlers, who named the city after the market town of Boston, Lincolnshire in England. During the American Revolution and American Revolutionary War, Revolutionary War, Boston was home to several seminal events, incl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Basel
Basel ( ; ), also known as Basle ( ), ; ; ; . is a city in northwestern Switzerland on the river Rhine (at the transition from the High Rhine, High to the Upper Rhine). Basel is Switzerland's List of cities in Switzerland, third-most-populous city (after Zurich and Geneva), with 177,595 inhabitants within the city municipality limits. The official language of Basel is Swiss Standard German and the main spoken language is the local Basel German dialect. Basel is commonly considered to be the cultural capital of Switzerland and the city is famous for its many Museums in Basel, museums, including the Kunstmuseum Basel, Kunstmuseum, which is the first collection of art accessible to the public in the world (1661) and the largest museum of Swiss art, art in Switzerland, the Fondation Beyeler (located in Riehen), the Museum Tinguely and the Museum of Contemporary Art (Basel), Museum of Contemporary Art, which is the first public museum of contemporary art in Europe. Forty museums ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harnack's Inequality
In mathematics, Harnack's inequality is an inequality relating the values of a positive harmonic function at two points, introduced by . Harnack's inequality is used to prove Harnack's theorem about the convergence of sequences of harmonic functions. , and generalized Harnack's inequality to solutions of elliptic or parabolic partial differential equations. Such results can be used to show the interior Hölder condition, regularity of weak solutions. Grigori Perelman, Perelman's solution of the Poincaré conjecture uses a version of the Harnack inequality, found by , for the Ricci flow. The statement Harnack's inequality applies to a non-negative function ''f'' defined on a closed ball in R''n'' with radius ''R'' and centre ''x''0. It states that, if ''f'' is continuous on the closed ball and harmonic function, harmonic on its interior, then for every point ''x'' with , ''x'' − ''x''0, = ''r'' 0 (depending only on ''K'', \tau, t-\tau, and the c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bernstein Problem
In differential geometry, Bernstein's problem is as follows: if the graph of a function on R''n''−1 is a minimal surface in R''n'', does this imply that the function is linear? This is true for ''n'' at most 8, but false for ''n'' at least 9. The problem is named for Sergei Natanovich Bernstein who solved the case ''n'' = 3 in 1914. Statement Suppose that ''f'' is a function of ''n'' − 1 real variables. The graph of ''f'' is a surface in R''n'', and the condition that this is a minimal surface is that ''f'' satisfies the minimal surface equation :\sum_^ \frac\frac = 0 Bernstein's problem asks whether an ''entire'' function (a function defined throughout R''n''−1 ) that solves this equation is necessarily a degree-1 polynomial. History proved Bernstein's theorem that a graph of a real function on R2 that is also a minimal surface in R3 must be a plane. gave a new proof of Bernstein's theorem by deducing it from the fact that the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Italian Mathematical Union
The Italian Mathematical Union () is a mathematical society based in Italy. It was founded on December 7, 1922, by Luigi Bianchi, Vito Volterra, and most notably, Salvatore Pincherle, who became the Union's first President. History Salvatore Pincherle, professor at the University of Bologna, sent on 31 March 1922 a letter to all Italian mathematicians in which he planned the establishment of a national mathematical society. The creation was inspired by similar initiatives in other countries, such as the Société mathématique de France (1872), the Deutsche Mathematiker-Vereinigung (1891), the American Mathematical Society (1891) and, above all, the International Mathematical Union (1920). The most important Italian mathematicians of the time - among all Luigi Bianchi and Vito Volterra - encouraged Pincherle's initiative also by personally sending articles for the future Bulletin; overall, about 180 mathematicians replied to Pincherle's letter. On December 7 of the same ye ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Garden Of Archimedes
A garden is a planned space, usually outdoors, set aside for the cultivation, display, and enjoyment of plants and other forms of nature. The single feature identifying even the wildest wild garden is ''control''. The garden can incorporate both natural and artificial materials. Gardens often have design features including statuary, follies, pergolas, trellises, stumperies, dry creek beds, and water features such as fountains, ponds (with or without fish), waterfalls or creeks. Some gardens are for ornamental purposes only, while others also produce food crops, sometimes in separate areas, or sometimes intermixed with the ornamental plants. Food-producing gardens are distinguished from farms by their smaller scale, more labor-intensive methods, and their purpose (enjoyment of a pastime or self-sustenance rather than producing for sale, as in a market garden). Flower gardens combine plants of different heights, colors, textures, and fragrances to create interest and del ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pierre De Fermat
Pierre de Fermat (; ; 17 August 1601 – 12 January 1665) was a French mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality. In particular, he is recognized for his discovery of an original method of finding the greatest and the smallest ordinates of curved lines, which is analogous to that of differential calculus, then unknown, and his research into number theory. He made notable contributions to analytic geometry, probability, and optics. He is best known for his Fermat's principle for light propagation and his Fermat's Last Theorem in number theory, which he described in a note at the margin of a copy of Diophantus' ''Arithmetica''. He was also a lawyer at the ''parlement'' of Toulouse, France. Biography Fermat was born in 1601 in Beaumont-de-Lomagne, France—the late 15th-century mansion where Fermat was born is now a museum. He was from Gascony, where his father, Dominique Fermat, was a wealthy ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
