Time and Periodicity from Ptolemy to Schrödinger: Paradigm Shifts vs Continuity in History of Mathematics

Yuri I. Manin ()
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Yuri I. Manin: Max Planck Institute for Mathematics

Chapter Chapter 3 in Geometry in History, 2019, pp 129-138 from Springer

Abstract: Abstract I briefly consider the Kuhnian notion of “paradigm shifts” applied to the history of mathematics and argue that the succession and intergenerational continuity of mathematical thought was undeservedly neglected in the historical studies. To this end, I focus on the history of mathematical theory of time and periodicity, from Ptolemy’s epicycles to Schrödinger’s quantum amplitudes interference and contemporary cosmological models.

Keywords: Epicycles; Fourier series; Quantum amplitudes; Logarithm tables; Euler’s number e; 01A99 (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-13609-3_3

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DOI: 10.1007/978-3-030-13609-3_3

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