Jacopo Riccati

Last updated
Jacopo Riccati
Jacopo Francesco Riccati (1676-1754).jpg
Jacopo Francesco Riccati (1676-1754)
Born28 May 1676
Died15 April 1754 (1754-04-16) (aged 77)
Residence Italy
NationalityItalian
Alma mater University of Padua
(LL.D., 1696)
Known for Riccati equation
Scientific career
Fields Mathematician
Notable students Vincenzo Riccati
Influences Stefano degli Angeli
Notes

Jacopo Francesco Riccati (28 May 1676 – 15 April 1754) was an Venetian mathematician and jurist from Venice. He is best known for having studied the equation which bears his name.

Republic of Venice Former state in Northeastern Italy

The Republic of Venice or Venetian Republic, traditionally known as La Serenissima was a sovereign state and maritime republic in northeastern Italy, which existed for over a millennium between the 7th century and the 18th century from 697 AD until 1797 AD. It was based in the lagoon communities of the historically prosperous city of Venice, and was a leading European economic and trading power during the Middle Ages and the Renaissance.

Mathematician person with an extensive knowledge of mathematics

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

Venice Comune in Veneto, Italy

Venice is a city in northeastern Italy and the capital of the Veneto region. It is situated on a group of 118 small islands that are separated by canals and linked by over 400 bridges. The islands are located in the shallow Venetian Lagoon, an enclosed bay that lies between the mouths of the Po and the Piave rivers. In 2018, 260,897 people resided in the Comune di Venezia, of whom around 55,000 live in the historical city of Venice. Together with Padua and Treviso, the city is included in the Padua-Treviso-Venice Metropolitan Area (PATREVE), which is considered a statistical metropolitan area, with a total population of 2.6 million.

Contents

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.

Brescia Comune in Lombardy, Italy

Brescia is a city and comune in the region of Lombardy in northern Italy. It is situated at the foot of the Alps, a few kilometres from the lakes Garda and Iseo. With a population of more than 200,000, it is the second largest city in the region and the fourth of northwest Italy. The urban area of Brescia extends beyond the administrative city limits and has a population of 672,822, while over 1.5 million people live in its metropolitan area. The city is the administrative capital of the Province of Brescia, one of the largest in Italy, with over 1,200,000 inhabitants.

University of Padua university in Italy

The University of Padua is a premier Italian university located in the city of Padua, Italy. The University of Padua was founded in 1222 as a school of law and was one of the most prominent universities in early modern Europe. Padua is the second-oldest university in Italy and the world's fifth-oldest surviving university. In 2010 the university had approximately 65,000 students, in 2016 was ranked "best university" among Italian institutions of higher education with more than 40,000 students, and in 2018 best Italian university according to ARWU ranking.

Law System of rules and guidelines, generally backed by governmental authority

Law is a system of rules that are created and enforced through social or governmental institutions to regulate behavior. It has been defined both as "the Science of Justice" and "the Art of Justice". Law is a system that regulates and ensures that individuals or a community adhere to the will of the state. State-enforced laws can be made by a collective legislature or by a single legislator, resulting in statutes, by the executive through decrees and regulations, or established by judges through precedent, normally in common law jurisdictions. Private individuals can create legally binding contracts, including arbitration agreements that may elect to accept alternative arbitration to the normal court process. The formation of laws themselves may be influenced by a constitution, written or tacit, and the rights encoded therein. The law shapes politics, economics, history and society in various ways and serves as a mediator of relations between people.

Career

Opere, 1761 Riccati - Opere, 1761 - 1368416.jpg
Opere, 1761

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 councilor and was offered a professorship at the University of Padua. He declined all these offers.

Peter the Great Tsar and 1st Emperor, founder of the Russian Empire

Peter the Great, Peter I or Peter Alexeyevich ruled the Tsardom of Russia and later the Russian Empire from 7 May [O.S. 27 April] 1682 until his death in 1725, jointly ruling before 1696 with his elder half-brother, Ivan V. Through a number of successful wars, he expanded the Tsardom into a much larger empire that became a major European power and also laid the groundwork for the Russian navy after capturing ports at Azov and the Baltic Sea. He led a cultural revolution that replaced some of the traditionalist and medieval social and political systems with ones that were modern, scientific, Westernised and based on the Enlightenment. Peter's reforms made a lasting impact on Russia, and many institutions of Russian government trace their origins to his reign. He is also known for founding and developing the city of Saint Petersburg, which remained the capital of Russia until 1917.

Russia transcontinental country in Eastern Europe and Northern Asia

Russia, officially the Russian Federation, is a transcontinental country in Eastern Europe and North Asia. At 17,125,200 square kilometres (6,612,100 sq mi), Russia is by far or by a considerable margin the largest country in the world by area, covering more than one-eighth of the Earth's inhabited land area, and the ninth most populous, with about 146.77 million people as of 2019, including Crimea. About 77% of the population live in the western, European part of the country. Russia's capital, Moscow, is one of the largest cities in the world and the second largest city in Europe; other major cities include Saint Petersburg, Novosibirsk, Yekaterinburg and Nizhny Novgorod. Extending across the entirety of Northern Asia and much of Eastern Europe, Russia spans eleven time zones and incorporates a wide range of environments and landforms. From northwest to southeast, Russia shares land borders with Norway, Finland, Estonia, Latvia, Lithuania and Poland, Belarus, Ukraine, Georgia, Azerbaijan, Kazakhstan, China, Mongolia and North Korea. It shares maritime borders with Japan by the Sea of Okhotsk and the U.S. state of Alaska across the Bering Strait. However, Russia recognises two more countries that border it, Abkhazia and South Ossetia, both of which are internationally recognized as parts of Georgia.

Vienna Capital city and state in Austria

Vienna is the federal capital and largest city of Austria, and one of the nine states of Austria. Vienna is Austria's primate city, with a population of about 1.9 million, and its cultural, economic, and political centre. It is the 7th-largest city by population within city limits in the European Union. Until the beginning of the 20th century, it was the largest German-speaking city in the world, and before the splitting of the Austro-Hungarian Empire in World War I, the city had 2 million inhabitants. Today, it has the second largest number of German speakers after Berlin. Vienna is host to many major international organizations, including the United Nations and OPEC. The city is located in the eastern part of Austria and is close to the borders of the Czech Republic, Slovakia, and Hungary. These regions work together in a European Centrope border region. Along with nearby Bratislava, Vienna forms a metropolitan region with 3 million inhabitants. In 2001, the city centre was designated a UNESCO World Heritage Site. In July 2017 it was moved to the list of World Heritage in Danger.

He was often consulted by the Senate of Venice on the construction of canals and dikes along rivers.

Some of his work on multinomials was included by Maria Gaetana Agnesi, at Riccati's request, in the book on integral calculus of her Analytical Institutions. [1]

Polynomial In mathematics, sum of products of variables, power of variables, and coefficients

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. An example of a polynomial of a single indeterminate, x, is x2 − 4x + 7. An example in three variables is x3 + 2xyz2yz + 1.

Maria Gaetana Agnesi Italian mathematician and philanthropist

Maria Gaetana Agnesi was an Italian mathematician, philosopher, theologian, and humanitarian. She was the first woman to write a mathematics handbook and the first woman appointed as a mathematics professor at a university.

The Riccati equation is named after him.

Personal life

His father, Conte Montino Riccati, came from a noble family who owned land near Venice. His mother was from the powerful Colonna family. His father died in 1686, when Riccati was only ten, leaving the youth a handsome estate.

Count (Male), or Countess (Female), is a historical title of nobility in certain European countries, varying in relative status, generally of middling rank in the hierarchy of nobility. The etymologically related English term, "county" denoted the land owned by a count. Equivalents of the rank of count exist or have existed in the nobility structures of some non-European countries, such as hakushaku during the Japanese Imperial era.

Jacopo's son, Vincenzo Riccati, a Jesuit, followed his father's footsteps and pioneered the development of hyperbolic functions.

A second son, Giordano Riccati was the first to measure the ratio of Young's moduli of metals—preceding the better known Thomas Young by 25 years.[ citation needed ]

Honors

Jacopo Riccati was named honorary Academician of the Academy of Sciences of the Institute of Bologna in 1723.

Notes and references

  1. Maria Gaetana Agnesi. "The author's preface to the reader". Analytical Institutions, p. XXIII on Google Books, London, 1801

Related Research Articles

Joseph-Louis Lagrange Italian mathematician and  mathematical physicist

Joseph-Louis Lagrange was an Italian Enlightenment Era mathematician and astronomer. He made significant contributions to the fields of analysis, number theory, and both classical and celestial mechanics.

Witch of Agnesi mathematical curve

In mathematics, the witch of Agnesi is a cubic plane curve defined from two diametrically opposite points of a circle. It gets its name from Italian mathematician Maria Gaetana Agnesi, and from a mistranslation of an Italian word for a sailing sheet. Before Agnesi, the same curve was studied by Fermat, Grandi, and Newton.

The year 1748 in science and technology involved some significant events.

Alberto Calder├│n Argentine mathematician

Alberto Pedro Calderón was an Argentinian mathematician. His name is associated with the University of Buenos Aires, but first and foremost with the University of Chicago, where Calderón and his mentor, the analyst Antoni Zygmund, developed the theory of singular integral operators. This created the "Chicago School of (hard) Analysis". Calderón's work ranged over a wide variety of topics: from singular integral operators to partial differential equations, from interpolation theory to Cauchy integrals on Lipschitz curves, from ergodic theory to inverse problems in electrical prospection. Calderón's work has also had a powerful impact on practical applications including signal processing, geophysics, and tomography.

Kazimierz ┼╗orawski Polish mathematician

Kazimierz Żorawski was a Polish mathematician. His work earned him an honored place in mathematics alongside such Polish mathematicians as Wojciech Brudzewski, Jan Brożek (Broscius), Nicolas Copernicus, Samuel Dickstein, Stefan Banach, Stefan Bergman, Marian Rejewski, Wacław Sierpiński, Stanisław Zaremba and Witold Hurewicz.

Nicolaus II Bernoulli Russian mathematician

Nicolaus II Bernoulli, a.k.a. Niklaus Bernoulli, Nikolaus Bernoulli, was a Swiss mathematician as were his father Johann Bernoulli and one of his brothers, Daniel Bernoulli. He was one of the many prominent mathematicians in the Bernoulli family.

Luigi Guido Grandi mathematician and philosopher from Italy

Dom Guido Grandi, O.S.B. Cam. was an Italian monk, priest, philosopher, theologian, mathematician, and engineer.

Einar Hille American mathematician

Carl Einar Hille was an American mathematics professor and scholar. Hille authored or coauthored twelve mathematical books and a number of mathematical papers

Ljubomir Chakaloff was a Bulgarian mathematician. He was born in 1886 in Samokov and died in 1963 at the age of 77. He was unmarried at the time of his death.

Maria Teresa Agnesi Pinottini Italian composer

Maria Teresa Agnesi was an Italian composer. Though she was most famous for her compositions, she was also an accomplished harpsichordist and singer, and the majority of her surviving compositions were written for keyboard, the voice, or both.

John Hellins FRS was an autodidact, schoolteacher, mathematician, astronomer and country parson.

Jacopo Tiepolo Doge of Venice

Jacopo Tiepolo, also known as Giacomo Tiepolo, was Doge of Venice from 1229 to 1249. He had previously served as the first Venetian Duke of Crete, and two terms as podestà in Constantinople. During his first term, following the capture and mysterious end of Peter of Courtenay, Tiepolo acted as de facto ruler of the Latin Empire, negotiating treaties on behalf of the Empire with Egypt and the Seljuk Turks.

A timeline of calculus and mathematical analysis.

Jacopo or Giacomo I da Carrara, called the Great (Grande), was the founder of the Carraresi dynasty that ruled Padua from 1318 to 1405. He governed with the advice of the leading citizens during a rule characterized by unity within the city. He is usually considered the first lord (signore) of Padua, his election marking the transition from commune ad singularem dominum, a characteristic regime known as a signoria to contemporaries.

Vincenzo Riccati Italian mathematician and physicist

Vincenzo Riccati was a Venetian mathematician and physicist.

Ramiro Rampinelli Italian mathematician

Ramiro Rampinelli, born Lodovico Rampinelli, was an Italian mathematician and physicist. He was a monk in the Olivetan Order. He had a decisive influence on the spread of mathematical analysis, algebra and mathematical physics in the best universities of Italy. He is one of the best known Italian scholars in the field of infinitesimal mathematics of the first half of the 18th century.

Giuseppe Suzzi italian mathematician

Giuseppe Suzzi was an Italian mathematician and abbot.

Fyodor Dmitriyevich Gakhov was a Russian mathematician and a specialist in the field of boundary value problems for analytic functions of a complex variable.

Giuseppina Masotti Biggiogero Italian mathematician

Giuseppina Masotti Biggiogero was an Italian mathematician and historian. Known for her work in algebraic geometry, she also wrote noted histories of mathematicians, like Maria Gaetana Agnesi and Luca Pacioli. She was a member of the Lombard Institute Academy of Science and Letters and won both the Bordoni Prize and Torelli Prize for her work.