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  Time and periodicity from Ptolemy to Schrödinger: paradigm shifts vs continuity in history of mathematics

Manin, Y. I. (2019). Time and periodicity from Ptolemy to Schrödinger: paradigm shifts vs continuity in history of mathematics. In S. Dani, & A. Papadopoulos (Eds.), Geometry in history (pp. 129-138). Cham: Springer.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0007-8D5D-3 Version Permalink: https://hdl.handle.net/21.11116/0000-0007-8D5E-2
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 Creators:
Manin, Yuri I.1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, History and Overview
 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 Schroedinger's quantum amplitudes
interference and contemporary cosmological models.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 10
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1812.00364
DOI: 10.1007/978-3-030-13609-3_3
 Degree: -

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Title: Geometry in history
Source Genre: Book
 Creator(s):
Dani, S.G., Editor
Papadopoulos, Athanase, Editor
Affiliations:
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Publ. Info: Cham : Springer
Pages: xvi, 750 Volume / Issue: - Sequence Number: - Start / End Page: 129 - 138 Identifier: DOI: /10.1007/978-3-030-13609-3
ISBN: 978-3-030-13609-3
ISBN: 978-3-030-13608-6