Lovyagin, Yuri N.; Lovyagin, Nikita Y. The monotonic sequence theorem and measurement of lengths and areas in axiomatic non-standard hyperrational analysis. (English) Zbl 1432.26009 Axioms 8, No. 2, Paper No. 42, 12 p. (2019). MSC: 26E35 PDF BibTeX XML Cite \textit{Y. N. Lovyagin} and \textit{N. Y. Lovyagin}, Axioms 8, No. 2, Paper No. 42, 12 p. (2019; Zbl 1432.26009) Full Text: DOI
Trlifajová, Kateřina Bolzano’s infinite quantities. (English) Zbl 1428.03003 Found. Sci. 23, No. 4, 681-704 (2018). MSC: 03-03 03H05 01A55 PDF BibTeX XML Cite \textit{K. Trlifajová}, Found. Sci. 23, No. 4, 681--704 (2018; Zbl 1428.03003) Full Text: DOI arXiv
Kahle, Reinhard From Dedekind to Zermelo versus Peano to Gödel. (Von Dedekind zu Zermelo versus Peano zu Gödel.) (German) Zbl 1385.01001 Scheel, Katrin (ed.) et al., In memoriam Richard Dedekind (1831–1916). Number theory – algebra – set theory – history – philosophy. Proceedings of the conference, TU Braunschweig, Germany, October 6–8, 2016. Münster: WTM-Verlag (ISBN 978-3-95987-043-6/pbk). Schriften zur Geschichte der Mathematik und ihrer Didaktik 3, 174-185 (2017). Reviewer: Robert W. van der Waall (Huizen) MSC: 01A55 PDF BibTeX XML Cite \textit{R. Kahle}, Schr. Gesch. Math. Didakt. 3, 174--185 (2017; Zbl 1385.01001)
Kahle, Reinhard From Dedekind to Zermelo versus Peano to Gödel. (Von Dedekind zu Zermelo versus Peano zu Gödel.) (German) Zbl 1395.01020 Math. Semesterber. 64, No. 2, 159-167 (2017). Reviewer: Karl-Heinz Schlote (Altenburg) MSC: 01A55 PDF BibTeX XML Cite \textit{R. Kahle}, Math. Semesterber. 64, No. 2, 159--167 (2017; Zbl 1395.01020) Full Text: DOI
Yager, Ronald R. Properties and applications of Pythagorean fuzzy sets. (English) Zbl 1370.03074 Angelov, Plamen (ed.) et al., Imprecision and uncertainty in information representation and processing. New tools based on intuitionistic fuzzy sets and generalized nets. Cham: Springer (ISBN 978-3-319-26301-4/hbk; 978-3-319-26302-1/ebook). Studies in Fuzziness and Soft Computing 332, 119-136 (2016). MSC: 03E72 PDF BibTeX XML Cite \textit{R. R. Yager}, Stud. Fuzziness Soft Comput. 332, 119--136 (2016; Zbl 1370.03074) Full Text: DOI
Nicolay, Samuel A construction of hyperreal numbers. (Une construction des nombres hyperréels.) (French) Zbl 1365.03043 Quadrature 102, 20-23 (2016). MSC: 03H05 26E35 PDF BibTeX XML Cite \textit{S. Nicolay}, Quadrature 102, 20--23 (2016; Zbl 1365.03043)
Funakoshi, Shunsuke BCK-algebra and non-Greek mathematics. (English) Zbl 1320.06017 Sci. Math. Jpn. 76, No. 2, 235-242 (2013). MSC: 06F35 01A70 51A30 PDF BibTeX XML Cite \textit{S. Funakoshi}, Sci. Math. Jpn. 76, No. 2, 235--242 (2013; Zbl 1320.06017) Full Text: Link
Khalfallah, Adel New non-standard topologies. (English) Zbl 1317.54023 Monatsh. Math. 172, No. 3-4, 323-344 (2013). Reviewer: Beloslav Riečan (Banská Bystrica) MSC: 54J05 26E35 03H05 46S20 46S10 12J25 03C50 PDF BibTeX XML Cite \textit{A. Khalfallah}, Monatsh. Math. 172, No. 3--4, 323--344 (2013; Zbl 1317.54023) Full Text: DOI
Corbett, John; Durt, Thomas Spatial localization in quantum theory based on qr-numbers. (English) Zbl 1197.81043 Found. Phys. 40, No. 6, 607-628 (2010). MSC: 81P05 81P20 PDF BibTeX XML Cite \textit{J. Corbett} and \textit{T. Durt}, Found. Phys. 40, No. 6, 607--628 (2010; Zbl 1197.81043) Full Text: DOI
Tao, Terence Poincaré’s legacies. Part I. Pages from year two of a mathematical blog. (English) Zbl 1171.00003 Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4883-8/pbk). ix, 293 p. (2009). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 00A05 00B15 37-02 11-02 37A99 11A41 PDF BibTeX XML Cite \textit{T. Tao}, Poincaré's legacies. Part I. Pages from year two of a mathematical blog. Providence, RI: American Mathematical Society (AMS) (2009; Zbl 1171.00003)
Salzmann, H.; Grundhöfer, T.; Hähl, H.; Löwen, R. The classical fields. Structural features of the real and rational numbers. (English) Zbl 1173.00006 Encyclopedia of Mathematics and Its Applications 112. Cambridge: Cambridge University Press (ISBN 978-0-521-86516-6/hbk). xv, 401 p. (2007). Reviewer: Niels Schwartz (Passau) MSC: 00A05 12-01 54-01 22-01 03-01 PDF BibTeX XML Cite \textit{H. Salzmann} et al., The classical fields. Structural features of the real and rational numbers. Cambridge: Cambridge University Press (2007; Zbl 1173.00006)
Kovach, Danny The functional analysis of non-Archimedean numbers. (English) Zbl 1213.26031 Nonlinear Anal. Phenom. 3, No. 2, 35-54 (2006). Reviewer: Klaus Kaiser (Houston) MSC: 26E30 PDF BibTeX XML Cite \textit{D. Kovach}, Nonlinear Anal. Phenom. 3, No. 2, 35--54 (2006; Zbl 1213.26031)
Delaunay, Sandra Diophantine approximation and nonstandard ultrametric distances. (Approximation diophantienne et distances ultramétriques non standard.) (French) Zbl 1166.11024 Ann. Fac. Sci. Toulouse, Math. (6) 14, No. 4, 629-661 (2005). Reviewer: Michel Waldschmidt (Paris) MSC: 11J82 03H05 11U10 PDF BibTeX XML Cite \textit{S. Delaunay}, Ann. Fac. Sci. Toulouse, Math. (6) 14, No. 4, 629--661 (2005; Zbl 1166.11024) Full Text: DOI Numdam EuDML
Pietsch, Albrecht Traces and shift invariant functionals. (English) Zbl 0709.47021 Math. Nachr. 145, 7-43 (1990). Reviewer: H.König MSC: 47B06 47L20 PDF BibTeX XML Cite \textit{A. Pietsch}, Math. Nachr. 145, 7--43 (1990; Zbl 0709.47021) Full Text: DOI
Todorov, T. D. Colombeau’s generalized functions and non-standard analysis. (English) Zbl 0749.46047 Generalized functions, convergence structures, and their applications, Proc. Int. Conf., Dubrovnik/Yugosl. 1987, 327-339 (1988). MSC: 46S20 46F10 PDF BibTeX XML
Forti, Marco On the order-structure of the real numbers in non-standard models of the analysis. (English) Zbl 0667.03049 Atti degli incontri di logica matematica, Vol. 3, Siena & Padova/Italia 1985/86, 199-205 (1987). Reviewer: A.Pettorossi MSC: 03H05 26E35 06A99 PDF BibTeX XML
Hurd, Albert E.; Loeb, Peter A. An introduction to nonstandard real analysis. (English) Zbl 0583.26006 Pure and Applied Mathematics, 118. Orlando etc.: Academic Press, Inc. (Harcourt Brace Javanovich, Publishers). XII; 232 p. $ 35.00; £31.00 (1985). Reviewer: W.A.J.Luxemburg MSC: 26E35 26-01 03H05 46S20 PDF BibTeX XML
Bucur, Ionel Selected topics in algebra and its interrelations with logic, number theory and algebraic geometry. Transl. from the Romanian by Mihnea Moroianu. (English) Zbl 0591.00001 Mathematics and Its Applications (East Europen Series). Bucureşti: Editura Academiei; Dordrecht - Boston - Lancaster: D. Reidel Publishing Company. VIII, 406 p. Dfl. 195.00; $ 79.00; £49.75 (1984). Reviewer: T.S.Blyth MSC: 00-02 11-02 12-02 13-02 14-02 PDF BibTeX XML
Prestel, Alexander Model theory of fields: An application to positive semidefinite polynomials. (English) Zbl 0577.12018 Mém. Soc. Math. Fr., Nouv. Sér. 16, 53-65 (1984). Reviewer: N.Schwartz MSC: 12D15 12L12 12J15 03C60 12L15 PDF BibTeX XML Cite \textit{A. Prestel}, Mém. Soc. Math. Fr., Nouv. Sér. 16, 53--65 (1984; Zbl 0577.12018) Full Text: DOI Numdam EuDML
DeVito, Carl L. Compact-like operators on locally convex spaces. (English) Zbl 0547.47012 J. Lond. Math. Soc., II. Ser. 28, 543-550 (1983). MSC: 47B06 46S20 PDF BibTeX XML Cite \textit{C. L. DeVito}, J. Lond. Math. Soc., II. Ser. 28, 543--550 (1983; Zbl 0547.47012) Full Text: DOI
Basarab, Şerban A. Roth’s theorem: Non-standard aspects. (Romanian) Zbl 0534.10050 Stud. Cercet. Mat. 35, 105-113 (1983). Reviewer: S. Buzeteanu MSC: 11U10 03H15 11J68 11J25 PDF BibTeX XML Cite \textit{Ş. A. Basarab}, Stud. Cercet. Mat. 35, 105--113 (1983; Zbl 0534.10050)
Artmann, Benno Der Zahlbegriff. (German) Zbl 0506.10001 Moderne Mathematik in elementarer Darstellung, 19. Göttingen: Vandenhoeck & Ruprecht. VIII, 265 S., 81 Fig. DM 34.00 (1983). MSC: 11-01 11U10 12J15 PDF BibTeX XML
Zhang, Jinwen Between fuzzy set theory and Boolean valued set theory. (English) Zbl 0529.03033 Fuzzy information and decision processes, 143-147 (1982). MSC: 03E72 03E40 PDF BibTeX XML
Richter, Michael M. Ideale Punkte, Monaden und Nichtstandard-Methoden. (German) Zbl 0487.03040 Braunschweig; Wiesbaden: Friedr. Vieweg & Sohn. VII, 264 S. DM 48.00 (1982). MSC: 03H05 03-01 26E35 30G06 54J05 PDF BibTeX XML
Woźniak, Czesław On the nonstandard analysis and the interrelation between mechanics of mass-point systems and continuum mechanics. (English) Zbl 0536.73005 Mech. Teor. Stosow. 19, 511-525 (1981). Reviewer: E.W.Grafarend MSC: 74A99 74Axx 70F99 03H10 PDF BibTeX XML Cite \textit{C. Woźniak}, Mech. Teor. Stosow. 19, 511--525 (1981; Zbl 0536.73005)
Murawski, Roman A simple remark on satisfaction classes, indiscernibles and recursive saturation. (English) Zbl 0481.03022 Funct. Approximatio, Comment. Math. 11, 149-151 (1981). MSC: 03C62 03C50 03H15 PDF BibTeX XML Cite \textit{R. Murawski}, Funct. Approximatio, Comment. Math. 11, 149--151 (1981; Zbl 0481.03022)
Todorov, T. D. Asymptotic functions and the problem of multiplication of distributions. (English) Zbl 0478.46035 Bulg. J. Phys. 8, 109-120 (1981). MSC: 46F10 26E35 PDF BibTeX XML Cite \textit{T. D. Todorov}, Bulg. J. Phys. 8, 109--120 (1981; Zbl 0478.46035)
Sonenberg, E. A. Non-standard models of ordinal arithmetics. (English) Zbl 0437.03038 Z. Math. Logik Grundlagen Math. 25, 5-27 (1979). MSC: 03H99 03E10 PDF BibTeX XML Cite \textit{E. A. Sonenberg}, Z. Math. Logik Grundlagen Math. 25, 5--27 (1979; Zbl 0437.03038) Full Text: DOI
Malitz, Jerome Introduction to mathematical logic. Set theory, computable functions, model theory. (English) Zbl 0407.03001 Undergraduate Texts in Mathematics. New York, Heidelberg, Berlin: Springer-Verlag XII, 198 p. DM 28.00; $ 15.40 (1979). MSC: 03-01 03E99 03D60 03D10 03C99 03D99 PDF BibTeX XML
Takeuchi, Yu. Representation of non-standard numbers by asymptotic behaviour of real functions. (Spanish) Zbl 0435.03051 Bol. Mat. 12, 17-37 (1978). MSC: 03H15 11U10 26E35 PDF BibTeX XML Cite \textit{Yu. Takeuchi}, Bol. Mat. 12, 17--37 (1978; Zbl 0435.03051)
Shelah, Saharon End extensions and numbers of countable models. (English) Zbl 0412.03043 J. Symb. Log. 43, 550-562 (1978). MSC: 03H15 03H99 03C15 PDF BibTeX XML Cite \textit{S. Shelah}, J. Symb. Log. 43, 550--562 (1978; Zbl 0412.03043) Full Text: DOI
Christov, Christo Eine neue Art von verallgemeinerten Funktionen - die asymptotischen Funktionen. (German) Zbl 0456.46037 Nova Acta Leopold., Neue Folge 39, No. 212, 181-197 (1974). MSC: 46F99 26E35 03H05 PDF BibTeX XML Cite \textit{C. Christov}, Nova Acta Leopold., Neue Folge 39, No. 212, 181--197 (1974; Zbl 0456.46037)