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Vincenzo Riccati
Vincenzo Riccati (Castelfranco Veneto, 11 January 1707 – Treviso, 17 January 1775) was a Venetian mathematician and physicist. Life Vincenzo Riccati was the brother of Giordano Riccati, and the second son of Jacopo Riccati. He entered the Society of Jesus on December 20, 1726. He taught ''belles lettres'' in the colleges of the Order in Piacenza (1728), Padua (1729), and Parma (1734). He then went to Rome to study theology. In 1739 he was assigned to the Collegio di San Francesco Saverio of Bologna, where he taught mathematics for thirty years. He was among the first members of the Italian National Academy of Sciences. Riccati's main research continued the work of his father in mathematical analysis, especially in the fields of the differential equations and physics. In 1757 he published the first volume of ''Opusculorum ad res physicas et mathematicas pertinentium'' introducing hyperbolic functions, the second volume appearing in 1762. In collaboration with Hieronymo Sal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Castelfranco Veneto
Castelfranco Veneto ( vec, Casteło) is a town and ''comune'' of Veneto, northern Italy, in the province of Treviso, by rail from the town of Treviso. It is approximately inland from Venice. History The town originates from a castle built here by the commune of Treviso in the course of its strife against Padua (1195). In 1246, it was captured by Ezzelino III da Romano, returning to Treviso after his death in 1259. In 1329, it was acquired by Cangrande I della Scala, lord of Verona. Ten years later, together with Treviso, it was handed over to the Republic of Venice, to which it belonged until 1797. Castelfranco Veneto then followed the history of Veneto. Indeed, the hand over to the "Serenissima" closes over a century of war events for the town. With its lands finally quiet and safe, some of the richest Venetian patrician families began undertaking several investments, laying down the foundations for the development of a relatively large area that will start one of its most prom ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Padua
Padua ( ; it, Padova ; vec, Pàdova) is a city and ''comune'' in Veneto, northern Italy. Padua is on the river Bacchiglione, west of Venice. It is the capital of the province of Padua. It is also the economic and communications hub of the area. Padua's population is 214,000 (). The city is sometimes included, with Venice (Italian ''Venezia'') and Treviso, in the Padua-Treviso-Venice Metropolitan Area (PATREVE) which has a population of around 2,600,000. Padua stands on the Bacchiglione, Bacchiglione River, west of Venice and southeast of Vicenza. The Brenta River, which once ran through the city, still touches the northern districts. Its agricultural setting is the Venetian Plain (''Pianura Veneta''). To the city's south west lies the Colli Euganei, Euganaean Hills, praised by Lucan and Martial, Petrarch, Ugo Foscolo, and Percy Bysshe Shelley, Shelley. Padua appears twice in the UNESCO World Heritage List: for its Botanical Garden of Padua, Botanical Garden, the most anc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Girolamo Saladini
Girolamo Saladini (Lucca, 22 July 1735 – Bologna, 1 June 1813) was an Italian mathematician. Biography Saladini was one of the brightest pupils of the Italian mathematician Vincenzo Riccati, with whom he had a fruitful collaboration: together they wrote the ''Institutiones analyticae'', an extensive treatise on mathematical analysis published in three volumes in Bologna in 1765–1767. In 1775, Saladini published an Italian translation of the work. Saladini taught geometry, astronomy and higher mathematics at the University of Bologna. He was an early member of the Accademia nazionale delle scienze. He published many articles, works and memoirs in various specialized Italian publications. In a memoir written by himself and dated 1808, entitled ''Sul principio delle velocità virtuali'' ("On the principle of virtual speeds"),G. Saladini, Sul principio delle velocità virtuali, Mem. dell'Istituto Nazionale Italiano, t. II, par. la, pp. 399-420, Bologna, 1808. starting from the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Riccati - De Usu Motus Tractorii In Constructione Aequationum Differentialium, 1752 - 1373559
Jacopo Francesco Riccati (28 May 1676 – 15 April 1754) was a Venetian mathematician and jurist from Venice. He is best known for having studied the equation which bears his name. Education Riccati was educated first at the Jesuit school for the nobility in Brescia, and in 1693 he entered the University of Padua to study law. He received a doctorate in law (LL.D.) in 1696. Encouraged by Stefano degli Angeli to pursue mathematics, he studied mathematical analysis. Career Riccati received various academic offers but declined them in order to devote his full attention to the study of mathematical analysis on his own. Peter the Great invited him to Russia as president of the St. Petersburg Academy of Sciences. He was also invited to Vienna as an imperial councillor and was offered a professorship at the University of Padua. He declined all these offers. He was often consulted by the Senate of Venice on the construction of canals and dikes along rivers. Some of his work on mult ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Google Books
Google Books (previously known as Google Book Search, Google Print, and by its code-name Project Ocean) is a service from Google Inc. that searches the full text of books and magazines that Google has scanned, converted to text using optical character recognition (OCR), and stored in its digital database.The basic Google book link is found at: https://books.google.com/ . The "advanced" interface allowing more specific searches is found at: https://books.google.com/advanced_book_search Books are provided either by publishers and authors through the Google Books Partner Program, or by Google's library partners through the Library Project. Additionally, Google has partnered with a number of magazine publishers to digitize their archives. The Publisher Program was first known as Google Print when it was introduced at the Frankfurt Book Fair in October 2004. The Google Books Library Project, which scans works in the collections of library partners and adds them to the digital invent ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hyperbolic Function
In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just as the points form a circle with a unit radius, the points form the right half of the unit hyperbola. Also, similarly to how the derivatives of and are and respectively, the derivatives of and are and respectively. Hyperbolic functions occur in the calculations of angles and distances in hyperbolic geometry. They also occur in the solutions of many linear differential equations (such as the equation defining a catenary), cubic equations, and Laplace's equation in Cartesian coordinates. Laplace's equations are important in many areas of physics, including electromagnetic theory, heat transfer, fluid dynamics, and special relativity. The basic hyperbolic functions are: * hyperbolic sine "" (), * hyperbolic cosine "" (),''Collins Concise Dictionary'', p. 328 from which are derived: * hyperbolic tangent "" (), * hyp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Physics
Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, with its main goal being to understand how the universe behaves. "Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Equations
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology. Mainly the study of differential equations consists of the study of their solutions (the set of functions that satisfy each equation), and of the properties of their solutions. Only the simplest differential equations are solvable by explicit formulas; however, many properties of solutions of a given differential equation may be determined without computing them exactly. Often when a closed-form expression for the solutions is not available, solutions may be approximated numerically using computers. The theory of d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Analysis
Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series (mathematics), series, and analytic functions. These theories are usually studied in the context of Real number, real and Complex number, complex numbers and Function (mathematics), functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis. Analysis may be distinguished from geometry; however, it can be applied to any Space (mathematics), space of mathematical objects that has a definition of nearness (a topological space) or specific distances between objects (a metric space). History Ancient Mathematical analysis formally developed in the 17th century during the Scientific Revolution, but many of its ideas can be traced back to earlier mathematicians. Early results in analysis were i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Accademia Nazionale Delle Scienze
The Accademia Nazionale delle Scienze (), or more formally L'Accademia Nazionale delle Scienze detta dei XL, and also called the Accademia dei XL (), is Italy's national academy of science. Its offices are located within the Villino Rosso, at the corner of via L. Spallanzani and via Siracusa, Villa Torlonia, Rome. The academy promotes progress in mathematics, physics, and natural sciences; organizes meetings; publishes journals; establishes consultative committees for governmental agencies; and awards scientific prizes. The academy contains 40 fellows and a variable number of "fellows in excess" who are age 70 and above, and who have been fellows for at least five years. It also contains 25 foreign members. History The academy was founded in 1782 in Verona as the Società Italiana, comprising 40 scientists from various parts of Italy. The idea of forming an academy comprising the leading Italian scientists was put forward in 1766 by the mathematician Antonio Maria Lorgna. By 1781 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bologna
Bologna (, , ; egl, label= Emilian, Bulåggna ; lat, Bononia) is the capital and largest city of the Emilia-Romagna region in Northern Italy. It is the seventh most populous city in Italy with about 400,000 inhabitants and 150 different nationalities. Its metropolitan area is home to more than 1,000,000 people. It is known as the Fat City for its rich cuisine, and the Red City for its Spanish-style red tiled rooftops and, more recently, its leftist politics. It is also called the Learned City because it is home to the oldest university in the world. Originally Etruscan, the city has been an important urban center for centuries, first under the Etruscans (who called it ''Felsina''), then under the Celts as ''Bona'', later under the Romans (''Bonōnia''), then again in the Middle Ages, as a free municipality and later ''signoria'', when it was among the largest European cities by population. Famous for its towers, churches and lengthy porticoes, Bologna has a well-preserved ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
