Ernesto Cesàro
Encyclopedia
Ernesto Cesàro was an Italian
mathematician
who worked in the field of differential geometry.
Cesàro was born in Naples
. He is known also for his 'averaging' method for the summation of divergent series
, known as the Cesàro mean.
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....
who worked in the field of differential geometry.
Cesàro was born in Naples
Naples
Naples is a city in Southern Italy, situated on the country's west coast by the Gulf of Naples. Lying between two notable volcanic regions, Mount Vesuvius and the Phlegraean Fields, it is the capital of the region of Campania and of the province of Naples...
. He is known also for his 'averaging' method for the summation of divergent series
Divergent series
In mathematics, a divergent series is an infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a limit....
, known as the Cesàro mean.
Books by E. Cesaro
- Lezioni di geometria intrinseca (Naples, 1896)
- Elementi di calcolo infinitesimale con numerosi applicazioni geometriche (L. Alvano,Naples, 1905)
- Corso di analisi algebrica con introduzione al calcolo infinitesimale (Bocca, Torino, 1894)
See also
- Stolz-Cesàro theorem
- Cesàro's theorem
- Cesàro equationCesàro equationIn geometry, the Cesàro equation of a plane curve is an equation relating curvature to arc length . It may also be given as an equation relating the radius of curvature to arc length. Two congruent curves will have the same Cesàro equation...
- Cesàro summationCesàro summationIn mathematical analysis, Cesàro summation is an alternative means of assigning a sum to an infinite series. If the series converges in the usual sense to a sum A, then the series is also Cesàro summable and has Cesàro sum A...