Ernesto Cesàro

Ernesto Cesàro (12 March 1859 12 September 1906) was an Italian mathematician who worked in the field of differential geometry. He wrote a book, Lezioni di geometria intrinseca (Naples, 1890), on this topic, in which he also describes fractal, space-filling curves, partly covered by the larger class of de Rham curves, but are still known today in his honor as Cesàro curves. He is known also for his 'averaging' method for the 'Cesàro-summation' of divergent series, known as the Cesàro mean.

Ernesto Cesàro
Born(1859-03-12)March 12, 1859
DiedSeptember 12, 1906(1906-09-12) (aged 47)
Torre Annunziata, Italy
NationalityItalian
EducationUniversity of Liège
Sapienza University of Rome
Known forStolz–Cesàro theorem
Cesàro equation
Cesàro mean
Cesàro summation
Cesàro curve
Scientific career
FieldsMathematics
InstitutionsUniversity of Palermo
University of Naples Federico II
Academic advisorsEugène Charles Catalan
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