Vincenzo Riccati
Encyclopedia
Vincenzo Riccati was an Italian
mathematician
and physicist
. He was the brother of Giordano Riccati
, and the second son of Jacopo Riccati
.
Riccati's main research continued the work of his father in mathematical analysis
, especially in the fields of the differential equations and physics
. The Riccati equation
is named after his father.
Italy
Italy , officially the Italian Republic languages]] under the European Charter for Regional or Minority Languages. In each of these, Italy's official name is as follows:;;;;;;;;), is a unitary parliamentary republic in South-Central Europe. To the north it borders France, Switzerland, Austria and...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
and physicist
Physicist
A physicist is a scientist who studies or practices physics. Physicists study a wide range of physical phenomena in many branches of physics spanning all length scales: from sub-atomic particles of which all ordinary matter is made to the behavior of the material Universe as a whole...
. He was the brother of Giordano Riccati
Giordano Riccati
Giordano Riccati or Jordan Riccati was the first experimental mechanician to study material elastic moduli as we understand them today. His 1782 paper on determining the relative Young's moduli of steel and brass using flexural vibrations predated Thomas Young's 1807 paper on the subject of moduli...
, and the second son of Jacopo Riccati
Jacopo Riccati
Jacopo Francesco Riccati was an Italian mathematician, born in Venice. He is now remembered for the Riccati equation. He died in Treviso in 1754.-Education:...
.
Riccati's main research continued the work of his father in mathematical analysis
Mathematical analysis
Mathematical analysis, which mathematicians refer to simply as analysis, has its beginnings in the rigorous formulation of infinitesimal calculus. It is a branch of pure mathematics that includes the theories of differentiation, integration and measure, limits, infinite series, and analytic functions...
, especially in the fields of the differential equations and physics
Physics
Physics is a natural science that involves the study of matter and its motion through spacetime, along with related concepts such as energy and force. More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves.Physics is one of the oldest academic...
. The Riccati equation
Riccati equation
In mathematics, a Riccati equation is any ordinary differential equation that is quadratic in the unknown function. In other words, it is an equation of the form y' = q_0 + q_1 \, y + q_2 \, y^2...
is named after his father.