Zobrazeno 1 - 10
of 7 953
pro vyhledávání: '"infinitesimal calculus"'
Autor:
James M. Henle, Eugene M. Kleinberg
Rigorous undergraduate treatment introduces calculus at the basic level, using infinitesimals and concentrating on theory rather than applications. Requires only a solid foundation in high school mathematics. Contents: 1. Introduction. 2. Language an
Recent Leibniz scholarship has sought to gauge which foundational framework provides the most successful account of the procedures of the Leibnizian calculus (LC). While many scholars (e.g., Ishiguro, Levey) opt for a default Weierstrassian framework
Externí odkaz:
http://arxiv.org/abs/2011.12628
Autor:
Brown, Bryson, Priest, Graham
Publikováno v:
Journal of Philosophical Logic, 2004 Aug 01. 33(4), 379-388.
Externí odkaz:
https://www.jstor.org/stable/30226814
Autor:
Stroyan, K. D.
Publikováno v:
Transactions of the American Mathematical Society, 1978 Jun 01. 240, 363-383.
Externí odkaz:
https://www.jstor.org/stable/1998826
Autor:
Katz, Mikhail G., Polev, Luie
Publikováno v:
Journal of Humanistic Mathematics 7 (2017), no. 1, 87-104
In teaching infinitesimal calculus we sought to present basic concepts like continuity and convergence by comparing and contrasting various definitions, rather than presenting "the definition" to the students as a monolithic absolute. We hope that th
Externí odkaz:
http://arxiv.org/abs/1701.05187
Autor:
Hall, James F., Todorov, Todor D.
Publikováno v:
Bulgarian Journal of Physics, Vol. 42 (2015) 99-127 - An issue dedicated to the centenary of the birth of Prof. Christo Yankov Christov
We present a characterization of the completeness of the field of real numbers in the form of a \emph{collection of several equivalent statements} borrowed from algebra, real analysis, general topology, and non-standard analysis. We also discuss the
Externí odkaz:
http://arxiv.org/abs/1509.03798