Abstract
Interval (two-sided) estimates developed by John Wallis in the 17 century can be considered as an important step towards development of Newton-Leibniz's calculus.
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Boyer, C. B.: A History of Mathematics, J. Wiley and Sons, N.Y., 1968.
Boyer, C. B. (revised by Merzbach, U. C.): A History of Mathematics, 2–nd edition, J. Wiley and Sons, N.Y., 1991.
Calinger, R.: Classics of Mathematics, Moore, Oak, Park, Ill., 1982.
Dennis, D. and Confrey, J.: The Creation of Continuous Exponents: a Study of the Methods and Epistemology of John Wallis, in: Kaput, J. and Dubinsky, E. (eds), Research in Collegiate Mathematics, (CBMS, Vol. 6), American Mathematical Society, Providence, RI, 1996, pp. 33–60.
Edwards, C. H.: The Historical Development of Calculus, Springer-Verlag, N.Y., 1979.
Scott, J. F.: The Mathematical Works of John Wallis, Chelsea Publ., N.Y., 1981.
Wallis, J.: Grammatica Linguae Anglicanae, 1653, A Scolar Press Facsimile, Menton, Scolar Press, 1969.
Wallis, J.: Arithmetica Infinitorum, in: Opera Mathematics, Georg Olms Verlag, N.Y., 1972, Vol. 1, pp. 355–478.
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Dennis, D., Kreinovich, V. & Rump, S.M. Intervals and the Origins of Calculus. Reliable Computing 4, 191–197 (1998). https://doi.org/10.1023/A:1009989211143
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DOI: https://doi.org/10.1023/A:1009989211143