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Mathematical Enigma of Guamán Pomas Yupana: A Hundred Years' Riddle [Kõva köide]

  • Formaat: Hardback, 101 pages, kõrgus x laius: 235x155 mm, 37 Illustrations, color; 38 Illustrations, black and white; XXVII, 101 p. 75 illus., 37 illus. in color., 1 Hardback
  • Ilmumisaeg: 03-Jul-2025
  • Kirjastus: Springer International Publishing AG
  • ISBN-10: 3031926617
  • ISBN-13: 9783031926617
Teised raamatud teemal:
  • Kõva köide
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  • Formaat: Hardback, 101 pages, kõrgus x laius: 235x155 mm, 37 Illustrations, color; 38 Illustrations, black and white; XXVII, 101 p. 75 illus., 37 illus. in color., 1 Hardback
  • Ilmumisaeg: 03-Jul-2025
  • Kirjastus: Springer International Publishing AG
  • ISBN-10: 3031926617
  • ISBN-13: 9783031926617
Teised raamatud teemal:
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 approach looks at them as additive, similar in organization to the numbers of ancient civilizations like Egypt. By analyzing Guamán Poma's work and considering the nature of the materials used by the Inca for recording and calculating with numbers, this new work finds a mathematical message, a multiplication algorithm, in the historical drawing. Finding a multiplication in the ancient drawing leads to considering the decipherment correct.  The text is written to be accessible to non-experts, as well as experts in fields other than mathematics. The work is addressed to researchers in the field, those interested in the history of mathematics, those attracted by mathematical enigmas, and especially the Andean peoples searching for lost knowledge of their past.
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 Pomas yupana.- 7 Differences between
deciphering a linguistic message and a mathematical one.- 8 Translating
Guamán Pomas yupana as a multiplication.- 9 The implications of detecting a
multiplication in Guamán Pomas yupana.- 10 Preconceptions preventing the
yupana from being identified as a multiplication.- 11 Potential arithmetical
operations on Guamán Pomas yupana.- Appendices A: Probability of randomly
inserted counters.
Cinzia Florio teaches Science and Chemical and Microbiological Technology Laboratories in technical institutes in Italy. She has conducted independent research in the history of mathematics and technology, focusing on the Incan culture. Since 2008, she has presented her findings at the annual International Conferences of American Studies in Salerno and Perugia. Her work brings a unique technical perspective to topics usually addressed by specialists in Andean studies, archaeology, and ancient literature.