Edit Profile (opens in new tab) Bottazzi, Emanuele Co-Author Distance Author ID: bottazzi.emanuele Published as: Bottazzi, Emanuele; Bottazzi, E. Documents Indexed: 18 Publications since 2014, including 1 Additional arXiv Preprint Co-Authors: 13 Co-Authors with 9 Joint Publications 230 Co-Co-Authors all top 5 Co-Authors 9 single-authored 5 Katz, Mikhail G. 2 Benci, Vieri 2 Di Nasso, Mauro 2 Kanovei, Vladimir G. 2 Sherry, David M. 1 Bascelli, Tiziana 1 Dinis, Bruno 1 Eskew, Monroe 1 Herzberg, Frederik S. 1 Katz, Karin Usadi 1 Mormann, Thomas 1 Nowik, Tahl 1 Shnider, Steven all top 5 Serials 3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 Advances in Mathematics 2 Matematychni Studiï 2 Philosophia Mathematica. Series III 2 Journal of Logic and Analysis 1 Journal of Differential Equations 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Notices of the American Mathematical Society 1 Indagationes Mathematicae. New Series 1 Open Mathematics 1 SN Partial Differential Equations and Applications all top 5 Fields 11 Real functions (26-XX) 6 Mathematical logic and foundations (03-XX) 5 Measure and integration (28-XX) 5 Functional analysis (46-XX) 4 Probability theory and stochastic processes (60-XX) 3 General and overarching topics; collections (00-XX) 3 Field theory and polynomials (12-XX) 2 Partial differential equations (35-XX) 2 Operator theory (47-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 12 Publications have been cited 62 times in 38 Documents Cited by ▼ Year ▼ Fermat, Leibniz, Euler, and the gang: the true history of the concepts of limit and shadow. Zbl 1338.26001 Bascelli, Tiziana; Bottazzi, Emanuele; Herzberg, Frederik; Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Nowik, Tahl; Sherry, David; Shnider, Steven 19 2014 Grid functions of nonstandard analysis in the theory of distributions and in partial differential equations. Zbl 1423.46056 Bottazzi, Emanuele 13 2019 Elementary numerosity and measures. Zbl 1300.26018 Benci, Vieri; Bottazzi, Emanuele; Di Nasso, Mauro 7 2014 A grid function formulation of a class of ill-posed parabolic equations. Zbl 1462.35454 Bottazzi, Emanuele 5 2021 On mathematical realism and applicability of hyperreals. Zbl 1436.00032 Bottazzi, E.; Kanovei, V.; Katz, M.; Mormann, T.; Sherry, D. 4 2019 Spaces of measurable functions on the Levi-Civita field. Zbl 1454.26045 Bottazzi, Emanuele 3 2020 Some applications of numerosities in measure theory. Zbl 1309.26028 Benci, Vieri; Bottazzi, Emanuele; Di Nasso, Mauro 2 2015 An incompatibility result on non-Archimedean integration. Zbl 1486.26063 Bottazzi, Emanuele 2 2021 Internality, transfer, and infinitesimal modeling of infinite processes. Zbl 1505.03146 Bottazzi, Emanuele; Katz, Mikhail G. 2 2021 A transfer principle for the continuations of real functions to the Levi-Civita field. Zbl 1415.26006 Bottazzi, Emanuele 2 2018 A real-valued measure on non-Archimedean field extensions of \(\mathbb{R}\). Zbl 1494.26063 Bottazzi, Emanuele 2 2022 Infinite lotteries, spinners, applicability of hyperreals. Zbl 1505.03145 Bottazzi, Emanuele; Katz, Mikhail G. 1 2021 A real-valued measure on non-Archimedean field extensions of \(\mathbb{R}\). Zbl 1494.26063 Bottazzi, Emanuele 2 2022 A grid function formulation of a class of ill-posed parabolic equations. Zbl 1462.35454 Bottazzi, Emanuele 5 2021 An incompatibility result on non-Archimedean integration. Zbl 1486.26063 Bottazzi, Emanuele 2 2021 Internality, transfer, and infinitesimal modeling of infinite processes. Zbl 1505.03146 Bottazzi, Emanuele; Katz, Mikhail G. 2 2021 Infinite lotteries, spinners, applicability of hyperreals. Zbl 1505.03145 Bottazzi, Emanuele; Katz, Mikhail G. 1 2021 Spaces of measurable functions on the Levi-Civita field. Zbl 1454.26045 Bottazzi, Emanuele 3 2020 Grid functions of nonstandard analysis in the theory of distributions and in partial differential equations. Zbl 1423.46056 Bottazzi, Emanuele 13 2019 On mathematical realism and applicability of hyperreals. Zbl 1436.00032 Bottazzi, E.; Kanovei, V.; Katz, M.; Mormann, T.; Sherry, D. 4 2019 A transfer principle for the continuations of real functions to the Levi-Civita field. Zbl 1415.26006 Bottazzi, Emanuele 2 2018 Some applications of numerosities in measure theory. Zbl 1309.26028 Benci, Vieri; Bottazzi, Emanuele; Di Nasso, Mauro 2 2015 Fermat, Leibniz, Euler, and the gang: the true history of the concepts of limit and shadow. Zbl 1338.26001 Bascelli, Tiziana; Bottazzi, Emanuele; Herzberg, Frederik; Kanovei, Vladimir; Katz, Karin U.; Katz, Mikhail G.; Nowik, Tahl; Sherry, David; Shnider, Steven 19 2014 Elementary numerosity and measures. Zbl 1300.26018 Benci, Vieri; Bottazzi, Emanuele; Di Nasso, Mauro 7 2014 all cited Publications top 5 cited Publications all top 5 Cited by 41 Authors 18 Katz, Mikhail G. 12 Bottazzi, Emanuele 12 Kanovei, Vladimir G. 9 Błaszczyk, Piotr 9 Sherry, David M. 8 Katz, Karin Usadi 5 Kutateladze, Semën Samsonovich 4 Bair, Jacques 4 Kudryk, Taras S. 3 Benci, Vieri 2 Bascelli, Tiziana 2 Borovik, Alexandre V. 2 Di Nasso, Mauro 2 Heinig, Peter 2 McGaffey, Thomas 2 Mormann, Thomas 2 Nowik, Tahl 2 Propp, James Gary 2 Schaps, David M. 2 Skrzeczkowski, Jakub 1 Abrams, Aaron 1 Barabash, G. M. 1 Berenguer, Joaquim 1 Dinis, Bruno 1 Ely, Robert 1 Eskew, Monroe 1 Gutman, Aleksandr Efimovich 1 Hrbáček, Karel 1 Kholyavka, Yaroslav M. 1 Kuhlemann, Karl 1 Landau, Henry Jacob 1 Landau, Zeph A. 1 Oltean, Marius 1 Parker, Matthew W. 1 Perthame, Benoît 1 Pommersheim, Jamie 1 Russell, Alexander C. 1 Schaps, Mary Elizabeth 1 Sopuerta, Carlos F. 1 Spallicci, Alessandro D. A. M. 1 Tytar, I. V. all top 5 Cited in 25 Serials 8 Foundations of Science 2 Advances in Mathematics 2 Matematychni Studiï 2 Logica Universalis 2 Journal of Logic and Analysis 2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 British Journal for the History of Mathematics 1 Communications on Pure and Applied Mathematics 1 The Mathematical Intelligencer 1 Journal of Differential Equations 1 Real Analysis Exchange 1 Annals of Pure and Applied Logic 1 Journal of Scientific Computing 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Indagationes Mathematicae. New Series 1 Séminaire Lotharingien de Combinatoire 1 Logic and Logical Philosophy 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 Online Journal of Analytic Combinatorics 1 Antiquitates Mathematicae 1 European Journal for Philosophy of Science 1 Quantum Studies: Mathematics and Foundations 1 Open Mathematics 1 SN Partial Differential Equations and Applications all top 5 Cited in 19 Fields 19 Real functions (26-XX) 11 History and biography (01-XX) 11 Mathematical logic and foundations (03-XX) 7 Functional analysis (46-XX) 6 Partial differential equations (35-XX) 5 General and overarching topics; collections (00-XX) 5 Measure and integration (28-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 2 Combinatorics (05-XX) 2 Convex and discrete geometry (52-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year