An elementary proof of Euler's formula using Cauchy's method
| dc.contributor.author | Brasselet, Jean-Paul | |
| dc.contributor.author | Thủy, Nguyn̂̃n Thị Bích [UNESP] | |
| dc.contributor.institution | Aix-Marseille Université | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.date.accessioned | 2021-06-25T10:19:59Z | |
| dc.date.available | 2021-06-25T10:19:59Z | |
| dc.date.issued | 2021-04-15 | |
| dc.description.abstract | The use of Cauchy's method to prove Euler's well-known formula is an object of many controversies. The purpose of this paper is to prove that Cauchy's method applies for convex polyhedra and not only for them, but also for surfaces such as the torus, the projective plane, the Klein bottle and the pinched torus. | en |
| dc.description.affiliation | CNRS I2M Aix-Marseille Université | |
| dc.description.affiliation | UNESP Universidade Estadual Paulista “Júlio de Mesquita Filho” | |
| dc.description.affiliationUnesp | UNESP Universidade Estadual Paulista “Júlio de Mesquita Filho” | |
| dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description.sponsorshipId | FAPESP: 2015/06697-9 | |
| dc.identifier | http://dx.doi.org/10.1016/j.topol.2020.107558 | |
| dc.identifier.citation | Topology and its Applications, v. 293. | |
| dc.identifier.doi | 10.1016/j.topol.2020.107558 | |
| dc.identifier.issn | 0166-8641 | |
| dc.identifier.scopus | 2-s2.0-85099170323 | |
| dc.identifier.uri | http://hdl.handle.net/11449/205712 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Topology and its Applications | |
| dc.source | Scopus | |
| dc.subject | Cauchy | |
| dc.subject | Descartes | |
| dc.subject | Euler formula | |
| dc.subject | Polyhedron | |
| dc.title | An elementary proof of Euler's formula using Cauchy's method | en |
| dc.type | Artigo |