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of 28
pro vyhledávání: '"Penchèvre, Erwan"'
Autor:
Penchèvre, Erwan, Rabouin, David
Here is a French translation and commentary of 17 problems in Peter Roth's Arithmetica Philosophica (1608). These problems are dealing with algebraic equations of degree 5 or 6; moreover, among these problems, 14 are also dealing with stereometry and
Externí odkaz:
http://arxiv.org/abs/2201.02809
Autor:
Penchèvre, Erwan
Publikováno v:
Arabic Sciences and Philosophy, 2019, 29(1):133-156
In several places and for different purposes, Ibn al-Haytham has studied the variations of a well-known function. The context of these applications reveals some characteristics of Ibn al-Haytham's mathematical and physical thought. An in-depth study
Externí odkaz:
http://arxiv.org/abs/1902.03301
Autor:
Penchèvre, Erwan
This article attempts at a linear historical and mathematical commentary of Kronecker's programmatic memoir "Grundz\"uge einer arithmetischen Theorie der algebraischen Gr\"ossen" (1882).
Comment: in french. 44 pages
Comment: in french. 44 pages
Externí odkaz:
http://arxiv.org/abs/1801.04327
Autor:
Penchèvre, Erwan
This book is a critical edition of a treatise of astronomy by the Syrian scholar Ibn al-\v{S}\=atir (1304-1375). The Arabic text has been established on the basis of several manuscript copies, and it has been translated into French; a bilingual index
Externí odkaz:
http://arxiv.org/abs/1709.04965
Autor:
Penchèvre, Erwan
Publikováno v:
Arabic Sciences and Philosophy 26-2 (2016) 185-214
We attempt to grasp the mathematics behind the planetary theories of the Syrian astronomer Ibn al-Shatir (1304-1375) in his treatise Nihayat al-Sul. Following the Maragha school of astronomers, by composing circular movements with constant angular ve
Externí odkaz:
http://arxiv.org/abs/1606.04516
Autor:
Penchèvre, Erwan
B\'ezout's name is attached to his famous theorem. B\'ezout's Theorem states that the degree of the eliminand of a system a $n$ algebraic equations in $n$ unknowns, when each of the equations is generic of its degree, is the product of the degrees of
Externí odkaz:
http://arxiv.org/abs/1606.03711
Autor:
Penchèvre, Erwan
Publikováno v:
Revue d'histoire des sciences, 2020 Jul 01. 73(2), 382-384.
Externí odkaz:
https://www.jstor.org/stable/27131952
Autor:
Penchèvre, Erwan
Publikováno v:
Revue d'histoire des sciences, 2020 Jul 01. 73(2), 380-382.
Externí odkaz:
https://www.jstor.org/stable/27131951
Autor:
Penchèvre, Erwan
Publikováno v:
Revue d'histoire des sciences, 2019 Jul 01. 72(2), 430-432.
Externí odkaz:
https://www.jstor.org/stable/26875748
Autor:
Penchèvre, Erwan
Au xviie siècle apparaissent des méthodes générales d'élimination des inconnues dans les systèmes d'équations polynomiales. Ce livre compare ces méthodes et décrit l'histoire de la théorie de l'élimination, du « théorème de Bézout » e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b6702660da0923feeae6bdcd63cc3b28