Zobrazeno 1 - 10
of 32
pro vyhledávání: '"BRECHENMACHER, FRÉDÉRIC"'
Autor:
Brechenmacher, Frederic
This paper aims at shedding a new light on the novelty of Poincar\'e's M\'ethodes nouvelles de la m\'ecanique c\'eleste. The latter's approach to the three-body-problem has often been celebrated as a starting point of chaos theory in relation to the
Externí odkaz:
http://arxiv.org/abs/1305.2689
Autor:
Brechenmacher, Frederic
The legacy of Jordan's canonical form on Poincar\'e's algebraic practices. This paper proposes a transversal overview on Henri Poincar\'e's early works (1878-1885). Our investigations start with a case study of a short note published by Poincar\'e on
Externí odkaz:
http://arxiv.org/abs/1210.3945
Autor:
Brechenmacher, Frederic
Publikováno v:
L'astronomie 55 (2012) 38-43
Poincar\'e's approach to the three body problem has often been celebrated as a starting point of chaos theory in relation to the investigation of dynamical systems. Yet, Poincar\'e's strategy can also be analyzed as molded on - or casted in - some sp
Externí odkaz:
http://arxiv.org/abs/1210.2673
Autor:
Brechenmacher, Frederic
This paper aims to provide an overview of recent researches studies on Camille Jordan's early works (1860-1870). We especially shed new light on the relation between Galois and Jordan by discussing the collective dimensions of Jordan's works and thei
Externí odkaz:
http://arxiv.org/abs/1205.5339
Autor:
Brechenmacher, Frederic
This preprint is the extended version of a paper that will be published in the proceedings of the Oberwolfach conference "Explicit vs tacit knowledge in mathematics" (January 2012). It presents a case study on some algebraic researches at the turn of
Externí odkaz:
http://arxiv.org/abs/1202.2966
Autor:
Brechenmacher, Frederic
This paper appeals to the figure of \'Evariste Galois for investigating the gates between mathematics and their "publics." The figure of Galois draws some lines of/within mathematics for/from the outside of mathematics and these lines in turn sketch
Externí odkaz:
http://arxiv.org/abs/1111.0655
Autor:
Brechenmacher, Frederic
The Jordan measure, the Jordan curve theorem, as well as the other generic references to Camille Jordan's (1838-1922) achievements highlight that the latter can hardly be reduced to the "great algebraist" whose masterpiece, the Trait\'e des substitut
Externí odkaz:
http://arxiv.org/abs/1110.2351
Autor:
Brechenmacher, Frederic
Throughout the whole year of 1874, C. Jordan and L. Kronecker were quarrelling over two theorems. On the one hand, Jordan had stated in 1870 a canonical form theorem for substitutions of linear groups; on the other hand, Karl Weierstrass had introduc
Externí odkaz:
http://arxiv.org/abs/0712.2566
Autor:
Brechenmacher, Frederic
Publikováno v:
Revue d'Histoire des Math\'ematiques 2, 13 (2008) p. 187-257
During the whole of 1874, Camille Jordan and Leopold Kronecker quar- relled vigorously over the organisation of the theory of bilinear forms. That theory promised a "general" and "homogeneous" treatment of numerous questions arising in various 19th-c
Externí odkaz:
http://arxiv.org/abs/0704.2929
Autor:
Brechenmacher, Frederic
Publikováno v:
Sciences et Techniques en Perspective IIe s\'erie, fasc. 1 (2007) (2008) p. 5-85
What did "algebra" mean before the development of the algebraic theories of the 20th century ? This paper stresses the identities taken by the algebraic practices developped during the century long discussion around the equation around the equation o
Externí odkaz:
http://arxiv.org/abs/0704.2931