Abstract. 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 theory on derivative of measures. Geometric (1887) and bi-vectorial (1888) Peano's approaches to surface area mark the development of this topic during the rst half of the last century. In the sequel we will present some signicative contributions on surface area that are inspired and/or closely related to Peano's denition.

Peano on definition of surface area

Greco, Gabriele Hans;Mazzucchi, Sonia;Pagani, Enrico
2014

Abstract

Abstract. 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 theory on derivative of measures. Geometric (1887) and bi-vectorial (1888) Peano's approaches to surface area mark the development of this topic during the rst half of the last century. In the sequel we will present some signicative contributions on surface area that are inspired and/or closely related to Peano's denition.
USA
ArXiv - Cornell University
Greco, Gabriele Hans; Mazzucchi, Sonia; Pagani, Enrico
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11572/98054
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