13 citations · 20 across the 6 of their papers we have counts for
7 papers
On the measurability of a numerical function with respect to a family of sets
Jonathan M. Keith, Gabriele H. Greco
The following document is a translation (from French to English) of: Gabriele H. Greco, Sur la mesurabilité d'une fonction numérique par rapport à une famille d'ensembles, Rendicon…
Peano on definition of surface area
Gabriele H. Greco, Sonia Mazzucchi, Enrico M. Pagani
In this paper we investigate the evolution of the concept of area in Peano's works, taking into account the main role played by Grassmann's geometric-vector calculus and Peano's th…
Geometric Characterizations of C1 Manifold in Euclidean Spaces by Tangent Cones
Francesco Bigolin, Gabriele H. Greco
A remarkable and elementary fact that a locally compact set F of Euclidean space is a smooth manifold if and only if the lower and upper paratangent cones to F coincide at every po…
Tangency vis-a'-vis differentiability by Peano, Severi and Guareschi
Szymon Dolecki, Gabriele H. Greco
Peano defined 'differentiability' of functions and 'lower tangent cones' in 1887, and 'upper tangent cones' in 1903, but uses the latter concept already in 1887 without giving a fo…
Towards historical roots of necessary conditions of optimality. Regula of Peano
Szymon Dolecki, Gabriele H. Greco
At the end of 19th century Peano discerned vector spaces, differentiability, convex sets, limits of families of sets, tangent cones, and many other concepts, in a modern perfect fo…
Reworking on affine exterior algebra of Grassmann, Peano and his school
Gabriele H. Greco, Enrico M. Pagani
In this paper a construction of affine exterior algebra of Grassmann, with a special attention to the revisitation of this subject operated by Peano and his School, is examined fro…