Fermat, Leibniz, Euler, and the gang: The true history of the concepts of limit and shadow T Bascelli, E Bottazzi, F Herzberg, V Kanovei, KU Katz, MG Katz, T Nowik, ... Notices of the AMS 61 (8), 848-864, 2014 | 57 | 2014 |
Elementary numerosity and measures V Benci, E Bottazzi, M Di Nasso Journal of Logic and Analysis 6, 2012 | 23 | 2012 |
Infinite Lotteries, Spinners, Applicability of Hyperreals E Bottazzi, MG Katz Philosophia Mathematica 29 (1), 88-109, 2021 | 15 | 2021 |
Grid functions of nonstandard analysis in the theory of distributions and in partial differential equations E Bottazzi Advances in Mathematics 345, 429-482, 2019 | 15 | 2019 |
On mathematical realism and the applicability of hyperreals E Bottazzi, V Kanovei, MG Katz, T Mormann, D Sherry Matematychni Studii 51 (2), 200-224, 2019 | 15 | 2019 |
Some applications of numerosities in measure theory V Benci, E Bottazzi, M Di Nasso Rendiconti Lincei - Matematica e Applicazioni 26 (1), 37-47, 2014 | 14 | 2014 |
Internality, transfer, and infinitesimal modeling of infinite processes E Bottazzi, MG Katz Philosophia Mathematica 29 (2), 256-277, 2021 | 13 | 2021 |
Integration with filters E Bottazzi, M Eskew arXiv e-prints, arXiv: 2004.09103, 2020 | 8 | 2020 |
Flexible involutive meadows B Dinis, E Bottazzi arXiv preprint arXiv:2309.01284, 2023 | 7 | 2023 |
A grid function formulation of a class of ill-posed parabolic equations E Bottazzi Journal of Differential Equations 271, 39-75, 2021 | 7 | 2021 |
Spaces of measurable functions on the Levi-Civita field E Bottazzi Indagationes Mathematicae 31 (4), 650-694, 2020 | 6 | 2020 |
Ω-Theory: Mathematics with Infinite and Infinitesimal Numbers E Bottazzi Master thesis, University of Pavia (Italy), 2012 | 6 | 2012 |
A Transfer Principle for the Continuations of Real Functions to the Levi-Civita Field E Bottazzi p-Adic Numbers, Ultrametric Analysis and Applications 10 (3), 179-191, 2018 | 5 | 2018 |
A Real-Valued Measure on non-Archimedean Field Extensions of E Bottazzi p-Adic Numbers, Ultrametric Analysis and Applications 14 (1), 14-43, 2022 | 2 | 2022 |
An Incompatibility Result on non-Archimedean Integration E Bottazzi p-Adic Numbers, Ultrametric Analysis and Applications 13 (4), 316-319, 2021 | 2 | 2021 |
Infinitesimals via Cauchy sequences: Refining the classical equivalence E Bottazzi, MG Katz Open Mathematics 19 (1), 477-482, 2021 | 2 | 2021 |
Nonstandard Models in Measure Theory and in functional Analysis E Bottazzi University of Trento, 2017 | 2 | 2017 |
Describing limits of integrable functions as grid functions of nonstandard analysis E Bottazzi Partial Differential Equations and Applications 2, 2021 | 1 | 2021 |
Integration with filters E Bottazzi, M Eskew arXiv preprint arXiv:2004.09103, 2020 | 1* | 2020 |
Homomorphisms Between Rings with Infinitesimals and Infinitesimal Comparisons E Bottazzi Matematychni Studii 52 (1), 3-9, 2019 | 1 | 2019 |