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Giulio Ascoli
Giulio Ascoli (20 January 1843, Trieste – 12 July 1896, Milan) was a Jewish-Italian mathematician. He was a student of the Scuola Normale di Pisa, where he graduated in 1868. In 1872 he became Professor of Algebra and Calculus of the Politecnico di Milano University. From 1879 he was professor of mathematics at the Reale Istituto Tecnico Superiore, where, in 1901, was affixed a plaque that remembers him. He was also a corresponding member of Istituto Lombardo. He made contributions to the theory of functions of a real variable and to Fourier series. For example, Ascoli introduced equicontinuity in 1884, a topic regarded as one of the fundamental concepts in the theory of real functions.According to . In 1889, Italian mathematician Cesare Arzelà generalized Ascoli's Theorem into the Arzelà–Ascoli theorem, a practical sequential compactness criterion of functions.See . See also *Measure (mathematics) *Oscillation (mathematics) *Riemann Integral Notes Biographical refe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Trieste
Trieste ( , ; sl, Trst ; german: Triest ) is a city and seaport in northeastern Italy. It is the capital city, and largest city, of the autonomous region of Friuli Venezia Giulia, one of two autonomous regions which are not subdivided into provinces. Trieste is located at the head of the Gulf of Trieste, on a narrow strip of Italian territory lying between the Adriatic Sea and Slovenia; Slovenia lies approximately east and southeast of the city, while Croatia is about to the south of the city. The city has a long coastline and is surrounded by grassland, forest, and karstic areas. The city has a subtropical climate, unusual in relation to its relatively high latitude, due to marine breezes. In 2022, it had a population of about 204,302. Capital of the autonomous region of Friuli Venezia Giulia and previously capital of the Province of Trieste, until its abolition on 1 October 2017. Trieste belonged to the Habsburg monarchy from 1382 until 1918. In the 19th century the mon ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Analysts
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
19th-century Italian Mathematicians
The 19th (nineteenth) century began on 1 January 1801 ( MDCCCI), and ended on 31 December 1900 ( MCM). The 19th century was the ninth century of the 2nd millennium. The 19th century 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, expanding beyond its British homeland for the first time during this century, particularly remaking the economies and societies of the Low Countries, 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 Islamic gunpowder empires fell into decline and European imperialism brought much of South Asia, Southeast Asia, and almost all of Africa under colonial rule. It was also marked by the collapse of the large ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1896 Deaths
Events January–March * January 2 – The Jameson Raid comes to an end, as Jameson surrenders to the Boers. * January 4 – Utah is admitted as the 45th U.S. state. * January 5 – An Austrian newspaper reports that Wilhelm Röntgen has discovered a type of radiation (later known as X-rays). * January 6 – Cecil Rhodes is forced to resign as Prime Minister of the Cape of Good Hope, for his involvement in the Jameson Raid. * January 7 – American culinary expert Fannie Farmer publishes her first cookbook. * January 12 – H. L. Smith takes the first X-ray photograph. * January 17 – Fourth Anglo-Ashanti War: British redcoats enter the Ashanti capital, Kumasi, and Asantehene Agyeman Prempeh I is deposed. * January 18 – The X-ray machine is exhibited for the first time. * January 28 – Walter Arnold, of East Peckham, Kent, England, is fined 1 shilling for speeding at (exceeding the contemporary speed limit of , the first sp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1843 Births
Events January–March * January ** Serial publication of Charles Dickens's novel ''Martin Chuzzlewit'' begins in London; in the July chapters, he lands his hero in the United States. ** Edgar Allan Poe's short story "The Tell-Tale Heart" is published in a Boston magazine. ** The Quaker magazine '' The Friend'' is first published in London. * January 3 – The ''Illustrated Treatise on the Maritime Kingdoms'' (海國圖志, ''Hǎiguó Túzhì'') compiled by Wei Yuan and others, the first significant Chinese work on the West, is published in China. * January 6 – Antarctic explorer James Clark Ross discovers Snow Hill Island. * January 20 – Honório Hermeto Carneiro Leão, Marquis of Paraná, becomes ''de facto'' first prime minister of the Empire of Brazil. * February – Shaikh Ali bin Khalifa Al-Khalifa captures the fort and town of Riffa after the rival branch of the family fails to gain control of the Riffa Fort and flees to Manama. Shaikh Mohamed bin Ahmed is kille ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jewish Encyclopedia
''The Jewish Encyclopedia: A Descriptive Record of the History, Religion, Literature, and Customs of the Jewish People from the Earliest Times to the Present Day'' is an English-language encyclopedia containing over 15,000 articles on the history, culture, and state of Judaism up to the early 20th century. The encyclopedia's managing editor was Isidore Singer and the editorial board was chaired by Isaac K. Funk and Frank H. Vizetelly. The work's scholarship is still highly regarded. The American Jewish Archives deemed it "the most monumental Jewish scientific work of modern times", and Rabbi Joshua L. Segal said "for events prior to 1900, it is considered to offer a level of scholarship superior to either of the more recent Jewish encyclopedias written in English." It was originally published in 12 volumes between 1901 and 1906 by Funk & Wagnalls of New York, and reprinted in the 1960s by KTAV Publishing House. It is now in the public domain. History Concep ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Carl Gustav Axel Harnack
Carl Gustav Axel Harnack (, Dorpat (now ) – 3 April 1888, Dresden) was a Baltic German mathematician who contributed to potential theory. Harnack's inequality applied to harmonic functions. He also worked on the real algebraic geometry of plane curves, proving Harnack's curve theorem for real plane algebraic curves. He was the son of the theologian Theodosius HarnackHarnack, Axel; George L. Cathcart"An Introduction to the Study of the Elements of the Differential and Integral Calculus"London: Williams and Norgate, 1891, p. 6. and the twin brother of theologian Adolf von Harnack (who long outlived him) - all of them from Dorpat, now known as Tartu, in what is today Estonia. After his studies at the University of Dorpat (where his father was a professor), he moved to Erlangen to become a student of Felix Klein. He published his Ph.D. thesis in 1875 and received the right to teach (venia legendi) at the University of Leipzig the same year. One year later he accepted a position ... [...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 ''Theory ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ulisse Dini
Ulisse Dini (14 November 1845 – 28 October 1918) was an Italian mathematician and politician, born in Pisa. He is known for his contribution to real analysis, partly collected in his book "''Fondamenti per la teorica delle funzioni di variabili reali''". Life and academic career Dini attended the Scuola Normale Superiore in order to become a teacher. One of his professors was Enrico Betti. In 1865, a scholarship enabled him to visit Paris, where he studied under Charles Hermite as well as Joseph Bertrand, and published several papers. In 1866, he was appointed to the University of Pisa, where he taught algebra and geodesy. In 1871, he succeeded Betti as professor for analysis and geometry. From 1888 until 1890, Dini was ''rettore'' of the Pisa University, and of the ''Scuola Normale Superiore'' from 1908 until his death in 1918. He was also active as a politician: in 1871 he was voted into the Pisa city council, and in 1880, he became a member of the Italian parliament. Hono ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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