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Emanuele Bottazzi
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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
562014
Elementary numerosity and measures
V Benci, E Bottazzi, M Di Nasso
Journal of Logic and Analysis 6, 2012
192012
Grid functions of nonstandard analysis in the theory of distributions and in partial differential equations
E Bottazzi
Advances in Mathematics 345, 429-482, 2019
152019
Infinite Lotteries, Spinners, Applicability of Hyperreals
E Bottazzi, MG Katz
Philosophia Mathematica 29 (1), 88-109, 2021
132021
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
132019
Internality, transfer, and infinitesimal modeling of infinite processes
E Bottazzi, MG Katz
Philosophia Mathematica 29 (2), 256-277, 2021
92021
Some applications of numerosities in measure theory
V Benci, E Bottazzi, M Di Nasso
Rendiconti Lincei - Matematica e Applicazioni 26 (1), 37-47, 2014
92014
A grid function formulation of a class of ill-posed parabolic equations
E Bottazzi
Journal of Differential Equations 271, 39-75, 2021
72021
Spaces of measurable functions on the Levi-Civita field
E Bottazzi
Indagationes Mathematicae 31 (4), 650-694, 2020
62020
Integration with filters
E Bottazzi, M Eskew
arXiv e-prints, arXiv: 2004.09103, 2020
62020
Ω-Theory: Mathematics with Infinite and Infinitesimal Numbers
E Bottazzi
Master thesis, University of Pavia (Italy), 2012
62012
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
52018
Nonstandard Models in Measure Theory and in functional Analysis
E Bottazzi
University of Trento, 2017
32017
A Real-Valued Measure on non-Archimedean Field Extensions of
E Bottazzi
p-Adic Numbers, Ultrametric Analysis and Applications 14 (1), 14-43, 2022
22022
An Incompatibility Result on non-Archimedean Integration
E Bottazzi
p-Adic Numbers, Ultrametric Analysis and Applications 13 (4), 316-319, 2021
22021
Describing limits of integrable functions as grid functions of nonstandard analysis
E Bottazzi
Partial Differential Equations and Applications 2, 2021
12021
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
12019
Flexible involutive meadows
B Dinis, E Bottazzi
arXiv preprint arXiv:2309.01284, 2023
2023
Corrigendum to “Grid functions of nonstandard analysis in the theory of distributions and in partial differential equations”[Adv. Math. 345 (2019) 429–482]
E Bottazzi
Advances in Mathematics 427, 109133, 2023
2023
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