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== References == Albeverio, S.; Guido, D.; Ponosov, A.; Scarlatti, S. (1996). "Singular traces and compact operators". J. Funct. Anal. 137 (2): 281302. doi:10.1006/jfan.1996.0047. S2CID 55846784. Artigue, Michèle (1994), Analysis, Advanced Mathematical Thinking (ed. David O. Tall), Springer-Verlag, p. 172, ISBN 0-7923-2812-4 Bishop, Errett (1975), "The crisis in contemporary mathematics", Historia Math., 2 (4): 507517, doi:10.1016/0315-0860(75)90113-5 Bishop, Errett (1977), "Review: H. Jerome Keisler, Elementary calculus", Bull. Amer. Math. Soc., 83: 205208, doi:10.1090/s0002-9904-1977-14264-x Bishop, E. (1983). "Schizophrenia in contemporary mathematics". Written at San Diego, Calif.. Errett Bishop: reflections on him and his research. Contemp. Math. Vol. 39. Providence, RI: Amer. Math. Soc. (published 1985). pp. 132. Bos, Henk J. M. (1974), "Differentials, higher-order differentials and the derivative in the Leibnizian calculus", Archive for History of Exact Sciences, 14: 190, doi:10.1007/BF00327456, S2CID 120779114 Chihara, C. (2007). "The BurgessRosen critique of nominalistic reconstructions". Philos. Math. 15 (1): 5478. doi:10.1093/philmat/nkl023. Connes, A. (1997). "Brisure de symétrie spontanée et géométrie du point de vue spectral" (PDF). Journal of Geometry and Physics. 23 (34): 206234. Bibcode:1997JGP....23..206C. doi:10.1016/s0393-0440(97)80001-0. Connes, A. (1995). "Noncommutative geometry and reality" (PDF). J. Math. Phys. 36 (11): 61946231. Bibcode:1995JMP....36.6194C. doi:10.1063/1.531241. Dauben, J. (1988). "Abraham Robinson and Nonstandard Analysis: History, Philosophy, and Foundations of Mathematics" (PDF). In Aspray, William; Kitcher, Philip (eds.). History and philosophy of modern mathematics. Minnesota Stud. Philos. Sci. Vol. XI. Minneapolis, MN: Univ. Minnesota Press. pp. 177200. Dauben, J. (1992). Written at Essen. "Arguments, logic and proof: mathematics, logic and the infinite. History of mathematics and education: ideas and experiences". Stud. Wiss. Soz. Bildungsgesch. Math. 11. Göttingen.: Vandenhoeck & Ruprecht (published 1996): 113148. Davis, Martin (1977), "Review: J. Donald Monk, Mathematical logic", Bull. Amer. Math. Soc., 83: 10071011, doi:10.1090/S0002-9904-1977-14357-7 Davis, M.; Hausner, M. (1978). "Book review. The Joy of Infinitesimals. J. Keisler's Elementary Calculus". Mathematical Intelligencer. 1: 168170. doi:10.1007/BF03023265. S2CID 121679411. Feferman, Solomon (2000), "Relationships between constructive, predicative and classical systems of analysis", Synthese Library, 125 (292), Kluwer Academic Publishers Group: 317332, doi:10.1023/A:1005223128130, S2CID 46283088; online PDF. Gordon, E.I.; Kusraev, A.G. (2002). Kutateladze S.S. Infinitesimal Analysis. Dordrecht: Kluwer Academic Publishers. ISBN 978-1-4020-0738-5.. Halmos, Paul R. (1985). I want to be a mathematician: An automathography. New York: Springer-Verlag. ISBN 0-387-96078-3. Hellman, Geoffrey (1993). "Constructive Mathematics and Quantum Mechanics: Unbounded Operators and the Spectral Theorem". Journal of Philosophical Logic. 12 (3): 221248. doi:10.1007/BF01049303. S2CID 8676552. Kanovei, Vladimir; Katz, Mikhail G.; Mormann, Thomas (2012), "Tools, Objects, and Chimeras: Connes on the Role of Hyperreals in Mathematics", Foundations of Science, 18 (2): 259296, arXiv:1211.0244, Bibcode:2012arXiv1211.0244K, doi:10.1007/s10699-012-9316-5, S2CID 7631073 Kanovei, Vladimir; Shelah, Saharon (2004). "A definable nonstandard model of the reals". Journal of Symbolic Logic. 69 (1): 159164. arXiv:math/0311165. doi:10.2178/jsl/1080938834. S2CID 15104702. Katz, Karin; Katz, Mikhail (2010). "When is .999... less than 1?". The Montana Mathematics Enthusiast. 7 (1): 330. arXiv:1007.3018. doi:10.54870/1551-3440.1381. S2CID 11544878. Archived from the original on 2011-07-20. Katz, Karin Usadi; Katz, Mikhail G. (2011), "Meaning in Classical Mathematics: Is it at Odds with Intuitionism?", Intellectica, 56 (2): 223302, arXiv:1110.5456, Bibcode:2011arXiv1110.5456U Katz, Mikhail G.; Leichtnam, Eric (2013), "Commuting and noncommuting infinitesimals", American Mathematical Monthly, 120 (7): 631641, arXiv:1304.0583, Bibcode:2013arXiv1304.0583K, doi:10.4169/amer.math.monthly.120.07.631, S2CID 35391617 Keisler, H. Jerome (1977). "Letter to the editor". Notices Amer. Math. Soc. 24: 269. Komkov, Vadim (1977). "Letter to the editor". Notices Amer. Math. Soc. 24 (5): 269271. Medvedev, F. A. (1998). "Nonstandard analysis and the history of classical analysis. Translated by Abe Shenitzer". Amer. Math. Monthly. 105 (7): 659664. doi:10.2307/2589253. JSTOR 2589253. Stolzenberg, Gabriel (1978). "Letters to the editor" (PDF). Notices Amer. Math. Soc. 25 (4): 242. Stewart, Ian (1986). "Frog and Mouse revisited". Mathematical Intelligencer: 7882. Sullivan, Kathleen (1976), "The Teaching of Elementary Calculus Using the Nonstandard Analysis Approach", The American Mathematical Monthly, 83 (5): 370375, doi:10.2307/2318657, JSTOR 2318657 Tall, David (1980), Intuitive infinitesimals in the calculus (poster) (PDF), Fourth International Congress on Mathematics Education, Berkeley Tall, David (2001), "Natural and Formal Infinities", Educational Studies in Mathematics, 48 (23), Springer Netherlands: 199238, doi:10.1023/A:1016000710038

== External links == Online version of Elementary Calculus: An Infinitesimal Approach S. Kutateladze "Teaching Calculus"