Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Heinig, Peter"'
Publikováno v:
Antiquitates Mathematicae 17 (2023), 29-65
An alleged opposition between David Hilbert and Felix Klein as modern vs countermodern has been pursued by marxist historian Herbert Mehrtens and others. Scholars such as Epple, Grattan-Guinness, Gray, Quinn, Rowe, and recently Siegmund-Schultze and
Externí odkaz:
http://arxiv.org/abs/2402.00122
Autor:
Bair, Jacques, Blaszczyk, Piotr, Guillen, Elias Fuentes, Heinig, Peter, Kanovei, Vladimir, Katz, Mikhail G.
In a paper published in 1970, Grattan-Guinness argued that Cauchy, in his 1821 book Cours d'Analyse, may have plagiarized Bolzano's book Rein analytischer Beweis (RB), first published in 1817. That paper was subsequently discredited in several works,
Externí odkaz:
http://arxiv.org/abs/2005.13259
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
Publikováno v:
Antiquitates Mathematicae 13 (2019), 19-49
19th century real analysis received a major impetus from Cauchy's work. Cauchy mentions variable quantities, limits, and infinitesimals, but the meaning he attached to these terms is not identical to their modern meaning. Some Cauchy historians work
Externí odkaz:
http://arxiv.org/abs/1907.07451
Publikováno v:
Mat. Stud. 49 (2018), no. 2, 186-224
Leibniz used the term fiction in conjunction with infinitesimals. What kind of fictions they were exactly is a subject of scholarly dispute. The position of Bos and Mancosu contrasts with that of Ishiguro and Arthur. Leibniz's own views, expressed in
Externí odkaz:
http://arxiv.org/abs/1812.00226
Akademický článek
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Akademický článek
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Autor:
Bair, Jacques, Błaszczyk, Piotr, Heinig, Peter, Katz, Mikhail G., Schäfermeyer, Jan Peter, Sherry, David
Publikováno v:
Mat. Stud. 48 (2017), no. 2, 189-219
Historian Herbert Mehrtens sought to portray the history of turn-of-the-century mathematics as a struggle of modern vs countermodern, led respectively by David Hilbert and Felix Klein. Some of Mehrtens' conclusions have been picked up by both histori
Externí odkaz:
http://arxiv.org/abs/1803.02193
Two graphs $G$ and $H$ are \emph{hypomorphic} if there exists a bijection $\varphi \colon V(G) \rightarrow V(H)$ such that $G - v \cong H - \varphi(v)$ for each $v \in V(G)$. A graph $G$ is \emph{reconstructible} if $H \cong G$ for all $H$ hypomorphi
Externí odkaz:
http://arxiv.org/abs/1611.04370
Two graphs $G$ and $H$ are hypomorphic if there exists a bijection $\varphi \colon V(G) \rightarrow V(H)$ such that $G - v \cong H - \varphi(v)$ for each $v \in V(G)$. A graph $G$ is reconstructible if $H \cong G$ for all $H$ hypomorphic to $G$. It i
Externí odkaz:
http://arxiv.org/abs/1606.02926