The Mathematical Enigma of Guamán Poma’s Yupana A Hundred Years' Riddle /

Against a century of inclusive studies, this book presents a new interpretation of the Inca calculating board known as the yupana, based on a different set of assumptions. Instead of seeing Inca numbers as positional, like the modern Hindu-Arabic numerals used by Western researchers, this new approa...

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Bibliografiske detaljer
Hovedforfatter: Florio, Cinzia (Author)
Institution som forfatter: SpringerLink (Online service)
Format: Electronisk eBog
Sprog:engelsk
Udgivet: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Udgivelse:1st ed. 2025.
Fag:
Online adgang:https://doi.org/10.1007/978-3-031-92662-4
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Indholdsfortegnelse:
  • 1 Introduction
  • 2 Quipus recounted in the Chronicles and the studies to decipher them
  • 3 Additive and positional numerical systems
  • 4 Do quipus represent an additive or positional number system?
  • 5 The yupana
  • 6 Chronological list of studies of Guamán Poma’s yupana
  • 7 Differences between deciphering a linguistic message and a mathematical one
  • 8 Translating Guamán Poma’s yupana as a multiplication
  • 9 The implications of detecting a multiplication in Guamán Poma’s yupana
  • 10 Preconceptions preventing the yupana from being identified as a multiplication
  • 11 Potential arithmetical operations on Guamán Poma’s yupana
  • Appendices A: Probability of randomly inserted counters.