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Jacopo Riccati | |
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Jacopo Francesco Riccati (1676-1754) | |

Born | 28 May 1676 |

Died | 15 April 1754 (aged 77) |

Residence | Italy |

Nationality | Italian |

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 | |

Father of Vincenzo Riccati and Giordano Riccati. |

**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.

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.

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

**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.

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** 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.

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** 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.

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**, **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**, 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** 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] }

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 *x*^{2} − 4*x* + 7. An example in three variables is *x*^{3} + 2*xyz*^{2} − *yz* + 1.

**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.

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 ]}

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

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

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**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.

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