Gustavo Sannia
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Gustavo Sannia
Gustavo Sannia (13 May 1875 – 21 December 1930) was an Italian mathematician working in differential geometry, projective geometry, and summation of series. He was the son of Achille Sannia, mathematician and senator of the Kingdom of Italy. Biography Gustavo Sannia was born in Naples. Sannia lived in Turin from 1902 to 1915 and from 1919 to 1922, first as an assistant to D'Ovidio and Fubini and later as a professor. From 1915 to 1919, he taught at the University of Cagliari The University of Cagliari ( it, Università degli Studi di Cagliari) is a university in Cagliari, Sardinia, Italy. It was founded in 1606 and is organized in 11 faculties. History The ''Studium Generalis Kalaritanum'' was founded in 1606 alon .... Sannia returned to Naples in 1924, where he would remain until his premature death. Selected publications *"Deformazioni infinitesime delle curve inestendibili e corrispondenza per ortogonalità di elementi." Rendiconti del Circolo Matematico di Palerm ...
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Gustavo Sannia
Gustavo Sannia (13 May 1875 – 21 December 1930) was an Italian mathematician working in differential geometry, projective geometry, and summation of series. He was the son of Achille Sannia, mathematician and senator of the Kingdom of Italy. Biography Gustavo Sannia was born in Naples. Sannia lived in Turin from 1902 to 1915 and from 1919 to 1922, first as an assistant to D'Ovidio and Fubini and later as a professor. From 1915 to 1919, he taught at the University of Cagliari The University of Cagliari ( it, Università degli Studi di Cagliari) is a university in Cagliari, Sardinia, Italy. It was founded in 1606 and is organized in 11 faculties. History The ''Studium Generalis Kalaritanum'' was founded in 1606 alon .... Sannia returned to Naples in 1924, where he would remain until his premature death. Selected publications *"Deformazioni infinitesime delle curve inestendibili e corrispondenza per ortogonalità di elementi." Rendiconti del Circolo Matematico di Palerm ...
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Differential Geometry
Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra. The field has its origins in the study of spherical geometry as far back as antiquity. It also relates to astronomy, the geodesy of the Earth, and later the study of hyperbolic geometry by Lobachevsky. The simplest examples of smooth spaces are the plane and space curves and surfaces in the three-dimensional Euclidean space, and the study of these shapes formed the basis for development of modern differential geometry during the 18th and 19th centuries. Since the late 19th century, differential geometry has grown into a field concerned more generally with geometric structures on differentiable manifolds. A geometric structure is one which defines some notion of size, distance, shape, volume, or other rigidifying structu ...
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Projective Geometry
In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that, compared to elementary Euclidean geometry, projective geometry has a different setting, projective space, and a selective set of basic geometric concepts. The basic intuitions are that projective space has more points than Euclidean space, for a given dimension, and that geometric transformations are permitted that transform the extra points (called "points at infinity") to Euclidean points, and vice-versa. Properties meaningful for projective geometry are respected by this new idea of transformation, which is more radical in its effects than can be expressed by a transformation matrix and translations (the affine transformations). The first issue for geometers is what kind of geometry is adequate for a novel situation. It is not possible to refer to angles in projective geometry as it is in Euclidean geometry, because angle is ...
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Summation Of Series
In mathematics, summation is the addition of a sequence of any kind of numbers, called ''addends'' or ''summands''; the result is their ''sum'' or ''total''. Beside numbers, other types of values can be summed as well: functions, vectors, matrices, polynomials and, in general, elements of any type of mathematical objects on which an operation denoted "+" is defined. Summations of infinite sequences are called series. They involve the concept of limit, and are not considered in this article. The summation of an explicit sequence is denoted as a succession of additions. For example, summation of is denoted , and results in 9, that is, . Because addition is associative and commutative, there is no need of parentheses, and the result is the same irrespective of the order of the summands. Summation of a sequence of only one element results in this element itself. Summation of an empty sequence (a sequence with no elements), by convention, results in 0. Very often, the elements of ...
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Achille Sannia
Achille Sannia (14 April 1822 – 2 August 1892) was an Italian mathematician and politician. Biography Achille Sannia was a senator of the Kingdom of Italy. He was born in Campobasso and later moved from Molise to Naples to continue his studies together with Enrico D'Ovidio. He first taught in a private school before moving to a University in 1865 as a professor of geometry. In 1871, he created a school of Electrical engineering. He wrote two important treatises, one concerning projective geometry and the other elementary geometry. He was a member of the Academy of sciences, Academy of Sciences. He had a son, Gustavo Sannia who was also a mathematician. Works *Planimetrics, Planimetry, with Enrico D'Ovidio, Stab. typ. of the fine arts, Naples 1869, II ed. 1871 *Geometry elements, with Enrico D'Ovidio, (14 editions), Naples 1868-69, 12th edition, B. Pellerano LC Scientific and Industrial Library successor, Naples 1906 *Projection Geometry Lessons dictated in the Royal Uni ...
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Kingdom Of Italy
The Kingdom of Italy ( it, Regno d'Italia) was a state that existed from 1861, when Victor Emmanuel II of Kingdom of Sardinia, Sardinia was proclamation of the Kingdom of Italy, proclaimed King of Italy, until 1946, when civil discontent led to an 1946 Italian institutional referendum, institutional referendum to abandon the monarchy and form the modern Italy, Italian Republic. The state resulted from a decades-long process, the ''Italian unification, Risorgimento'', of consolidating the different states of the Italian Peninsula into a single state. That process was influenced by the House of Savoy, Savoy-led Kingdom of Sardinia, which can be considered Italy's legal Succession of states, predecessor state. Italy Third Italian War of Independence, declared war on Austrian Empire, Austria in alliance with Kingdom of Prussia, Prussia in 1866 and received the region of Veneto following their victory. Italian troops Capture of Rome, entered Rome in 1870, ending Papal States, more tha ...
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Naples
Naples (; it, Napoli ; nap, Napule ), from grc, Νεάπολις, Neápolis, lit=new city. is the regional capital of Campania and the third-largest city of Italy, after Rome and Milan, with a population of 909,048 within the city's administrative limits as of 2022. Its province-level municipality is the third-most populous metropolitan city in Italy with a population of 3,115,320 residents, and its metropolitan area stretches beyond the boundaries of the city wall for approximately 20 miles. Founded by Greeks in the first millennium BC, Naples is one of the oldest continuously inhabited urban areas in the world. In the eighth century BC, a colony known as Parthenope ( grc, Παρθενόπη) was established on the Pizzofalcone hill. In the sixth century BC, it was refounded as Neápolis. The city was an important part of Magna Graecia, played a major role in the merging of Greek and Roman society, and was a significant cultural centre under the Romans. Naples served a ...
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Turin
Turin ( , Piedmontese language, Piedmontese: ; it, Torino ) is a city and an important business and cultural centre in Northern Italy. It is the capital city of Piedmont and of the Metropolitan City of Turin, and was the first Italian capital from 1861 to 1865. The city is mainly on the western bank of the Po (river), Po River, below its Susa Valley, and is surrounded by the western Alps, Alpine arch and Superga Hill. The population of the city proper is 847,287 (31 January 2022) while the population of the urban area is estimated by Larger Urban Zones, Eurostat to be 1.7 million inhabitants. The Turin metropolitan area is estimated by the Organisation for Economic Co-operation and Development, OECD to have a population of 2.2 million. The city used to be a major European political centre. From 1563, it was the capital of the Duchy of Savoy, then of the Kingdom of Sardinia ruled by the House of Savoy, and the first capital of the Kingdom of Italy from 1861 to 1865. T ...
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D'Ovidio
D'Ovidio or d'Ovidio is a surname. Notable people with the surname include: * Antonio Lefebvre d'Ovidio, Italian lawyer, businessman, founder of Silversea Cruises * Catherine D'Ovidio, French bridge player * Elisa D'Ovidio, Australian soccer player * Enrico D'Ovidio, Italian mathematician * Francesco D'Ovidio, Italian philologist and literary critic * Manfredi Lefebvre d'Ovidio, Italian-born Monegasque billionaire businessman See also * Ovidio Ovidio is a given name. Notable people with the name include: *Ovidio G. Assonitis (born 1943), independent film producer and businessman * Ovidio Cervi of the Cervi Brothers, the seven sons of Alcide Cervi and Genoveffa Cocconi * Gabriel Ovidio C ...
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Professor
Professor (commonly abbreviated as Prof.) is an Academy, academic rank at university, universities and other post-secondary education and research institutions in most countries. Literally, ''professor'' derives from Latin as a "person who professes". Professors are usually experts in their field and teachers of the highest rank. In most systems of List of academic ranks, academic ranks, "professor" as an unqualified title refers only to the most senior academic position, sometimes informally known as "full professor". In some countries and institutions, the word "professor" is also used in titles of lower ranks such as associate professor and assistant professor; this is particularly the case in the United States, where the unqualified word is also used colloquially to refer to associate and assistant professors as well. This usage would be considered incorrect among other academic communities. However, the otherwise unqualified title "Professor" designated with a capital let ...
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University Of Cagliari
The University of Cagliari ( it, Università degli Studi di Cagliari) is a university in Cagliari, Sardinia, Italy. It was founded in 1606 and is organized in 11 faculties. History The ''Studium Generalis Kalaritanum'' was founded in 1606 along the lines of the old Spanish Universities of Salamanca, Valladolid and Lleida, but it begins to operate only after the privilege of King Philip III in 1620. as ''Universidad y Estudio General de Caller en el Reyno de Cerdeña'' (University and Gener Study of Cagliari in the Kingdom of Sardinia). It originally offered Law, Latin, Greek and Hebrew Literature, the Liberal Arts, Medicine, Surgery, Philosophy and Science. When Sardinia passed under the House of Savoy government in the 18th century, the statute of the University was significantly modified, with the expansion of the science faculties and institutes. Designed by the Piedmontese engineer Saverio Belgrano di Famolasco, the new university building was completed at the end of the 1 ...
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Francesco Tricomi
Francesco Giacomo Tricomi (5 May 1897 – 21 November 1978) was an Italian people, Italian mathematician famous for his studies on mixed type partial differential equations. He was also the author of a book on integral equations. Biography Tricomi was born in Naples. He first enrolled in the University of Bologna, where he took chemistry courses. However, Tricomi realized that he preferred physics rather than chemistry; he moved to the University of Naples in 1915. He graduated at the University of Naples in 1918 and later was assistant to Francesco Severi, first in Padua and then in Rome. Later he was professor at Turin, called by Giuseppe Peano, a position he held until his retirement in 1967. He was an Invited Speaker of the International Congress of Mathematicians, ICM in 1928 at Bologna and in 1932 in Zurich. From 1943 to 1945 and from 1948 to 1951 at the California Institute of Technology of Pasadena, California, Pasadena, he collaborated on the manual of special functio ...
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