國立高雄大學圖資館 |

Language: English

Back

The mathematical enigma of Guamán Poma's yupanaa hundred years' riddle /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The mathematical enigma of Guamán Poma's yupanaby Cinzia Florio.
Reminder of title:	a hundred years' riddle /
Author:	Florio, Cinzia.
Published:	Cham :Springer Nature Switzerland :2025.
Description:	xxvii, 101 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	IncasMathematics.
Online resource:	https://doi.org/10.1007/978-3-031-92662-4
ISBN:	9783031926624$q(electronic bk.)

The mathematical enigma of Guamán Poma's yupanaa hundred years' riddle /
Florio, Cinzia.

The mathematical enigma of Guamán Poma's yupanaa hundred years' riddle /[electronic resource] :by Cinzia Florio. - Cham :Springer Nature Switzerland :2025. - xxvii, 101 p. :ill. (some col.), digital ;24 cm.

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.

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.

ISBN: 9783031926624$q(electronic bk.)

Standard No.: 10.1007/978-3-031-92662-4doiSubjects--Personal Names:

997082
Guamán Poma de Ayala, Felipe,
active 1613.Subjects--Topical Terms:

997083
Incas
--Mathematics.

LC Class. No.: F3429.3.M36

Dewey Class. No.: 510.985

The mathematical enigma of Guamán Poma's yupanaa hundred years' riddle /
LDR:02833nmm a2200337 a 4500 001 683362
003 DE-He213
005 20250702130231.0
006 m d
007 cr nn 008maaau
008 251212s2025 sz s 0 eng d
020 $a 9783031926624$q(electronic bk.)
020 $a 9783031926617$q(paper)
024 7 $a 10.1007/978-3-031-92662-4 $2 doi
035 $a 978-3-031-92662-4
040 $a GP $c GP
041 0 $a eng
050 4 $a F3429.3.M36
072 7 $a PBX $2 bicssc
072 7 $a MAT015000 $2 bisacsh
072 7 $a PBX $2 thema
082 0 4 $a 510.985 $2 23
090 $a F3429.3.M36 $b F638 2025
100 1 $a Florio, Cinzia. $3 997081
245 1 4 $a The mathematical enigma of Guamán Poma's yupana $h [electronic resource] : $b a hundred years' riddle / $c by Cinzia Florio.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
300 $a xxvii, 101 p. : $b ill. (some col.), digital ; $c 24 cm.
338 $a online resource $b cr $2 rdacarrier
505 0 $a 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.
520 $a 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.
600 1 0 $a Guamán Poma de Ayala, Felipe, $d active 1613. $3 997082
650 0 $a Incas $x Mathematics. $3 997083
650 1 4 $a History of Mathematical Sciences. $3 511733
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-92662-4
950 $a Mathematics and Statistics (SpringerNature-11649)