Zobrazeno 1 - 10
of 74
pro vyhledávání: '"01A85"'
Autor:
Bair, Jacques, Borovik, Alexandre, Kanovei, Vladimir, Katz, Mikhail G., Kutateladze, Semen S., Sanders, Sam, Sherry, David, Ugaglia, Monica, van Atten, Mark
Publikováno v:
The Mathematical Intelligencer 45 (2023), no. 1, 8
Leibniz scholarship is currently an area of lively debate. We respond to some recent criticisms by Archibald et al.
Comment: 2 pages, appeared in The Mathematical Intelligencer
Comment: 2 pages, appeared in The Mathematical Intelligencer
Externí odkaz:
http://arxiv.org/abs/2212.12422
Autor:
Bair, Jacques, Borovik, Alexandre, Kanovei, Vladimir, Katz, Mikhail G., Kutateladze, Semen, Sanders, Sam, Sherry, David, Ugaglia, Monica
Publikováno v:
Antiquitates Mathematicae 16 (2022), 189-257
In the history of infinitesimal calculus, we trace innovation from Leibniz to Cauchy and reaction from Berkeley to Mansion and beyond. We explore 19th century infinitesimal lores, including the approaches of Simeon-Denis Poisson, Gaspard-Gustave de C
Externí odkaz:
http://arxiv.org/abs/2210.14504
Autor:
Sternheimer, Daniel
Publikováno v:
10th Anniversary of Axioms: Mathematical Physics" (2022), Axioms 2022, 11, 522
Mathematical physics has many facets, of which we shall briefly give a (very partial) description, centered around those of main interest for Elliott and us (Moshe Flato and I). In our case these aspects had as a corollary a variety of "parascientifi
Externí odkaz:
http://arxiv.org/abs/2204.02160
Publikováno v:
Antiquitates Mathematicae 15 (2021), no. 1, 147-168
We examine some recent scholarship on Leibniz's philosophy of the infinitesimal calculus. We indicate difficulties that arise in articles by Bassler, Knobloch, and Arthur, due to a denial to Leibniz's infinitesimals of the status of mathematical enti
Externí odkaz:
http://arxiv.org/abs/2201.02047
Autor:
Kleb, Jens
Ratios and coefficients are used to simplify calculations. For geometric usage these values also called function values. Like in Egypt also in Babylon such a value system can be shown. The reconstructed calculation sequence, of the Plimpton 322 cunei
Externí odkaz:
http://arxiv.org/abs/2112.13379
Autor:
Bair, Jacques, Blaszczyk, Piotr, Heinig, Peter, Kanovei, Vladimir, Katz, Mikhail G., McGaffey, Thomas
Publikováno v:
Real Analysis Exchange 45 (2020), no. 1, 1-23
Like his colleagues de Prony, Petit, and Poisson at the Ecole Polytechnique, Cauchy used infinitesimals in the Leibniz-Euler tradition both in his research and teaching. Cauchy applied infinitesimals in an 1826 work in differential geometry where inf
Externí odkaz:
http://arxiv.org/abs/2003.00438
Autor:
Candel, Gaëlle, Naccache, David
Publikováno v:
July 12-15, 2021 18th International Conference of the International Society for Scientometrics and Informetrics Leuven, Belgium
Bibliographic and co-citation coupling are two analytical methods widely used to measure the degree of similarity between scientific papers. These approaches are intuitive, easy to put into practice, and computationally cheap. Moreover, they have bee
Externí odkaz:
http://arxiv.org/abs/2109.10007
Autor:
Katz, Mikhail G.
Publikováno v:
Mathematics Today 57 (2021), no. 4, 154-158
Cauchy published his Cours d'Analyse 200 years ago. We analyze Cauchy's take on the concepts of rigor, continuity, and limit, and explore a pair of approaches in the literature to the meaning of his infinitesimal analysis and his sum theorem on the c
Externí odkaz:
http://arxiv.org/abs/2107.00207
Autor:
Hirai, Takeshi
This is a translation of Proceedings of 22 th Symposium on History of Mathematics, Tsuda University 2011, on the work of Benjamin Olinde Rodrigues and on his life. His chef-d'oeuvre is the work on Euclidean motion group in 1840. He invented Rodrigues
Externí odkaz:
http://arxiv.org/abs/2006.00196
Publikováno v:
Quantitative Science Studies (2020)
Co-citation measurements can reveal the extent to which a concept representing a novel combination of existing ideas evolves towards a specialty. The strength of co-citation is represented by its frequency, which accumulates over time. Of interest is
Externí odkaz:
http://arxiv.org/abs/2005.04793