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