A new construction of the real numbers by alternating series

zbMath1321.11016arXiv1208.1434MaRDI QIDQ466168

Soichi Ikeda

Publication date: 24 October 2014

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.1434

zbMATH Keywords

alternating seriesSylvester series

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72) Other number representations (11A67) Ordered fields (12J15)

Related Items (1)

Survey article: The real numbers -- a survey of constructions

Cites Work

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• Two concrete new constructions of the real numbers
• Two constructions of the real numbers via alternating series
• The representation of real numbers by infinite series of rationals

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