Counting and arithmetic of the Inca
Tipo de documento
Autores
Lista de autores
Catepillán, Ximena y Szymanski, Waclaw
Resumen
The Inca Empire - the greatest pre-Columbian empire on the American continent - extended from Ecuador to central Chile for more than five thousand miles. Its capital was Cuzco established in the high Peruvian Andes. This highly advanced civilization developed a counting system used to run the empire - in particular, to build the 14,000 mile road structure and monumental architecture. Some of the algorithms believed to be used by the Inca to do computations using a yupana, an ancient calculating device, will be presented, as well as classroom activities for the course “Mathematics in Non-European Cultures” for non Mathematics and Science majors offered at Millersville University of Pennsylvania.
Fecha
2012
Tipo de fecha
Estado publicación
Términos clave
Enfoque
Idioma
Revisado por pares
Formato del archivo
Revista
Revista Latinoamericana de Etnomatemática: Perspectivas Socioculturales de la Educación Matemática
Volumen
5
Número
2
Rango páginas (artículo)
47-65
ISSN
20115474
Referencias
Acosta, de J. (1590). Natural and Moral History of the Indies. Duke University Press (edition 2002). Aimi, A. & De Pasquale, N. (2003). Come funzionano le Yupane 1 e 2 di Milano. In: Le culture del Perù da Chavín agli Inca, a cura di A. Aimi, Silvana, Cinisello Balsamo, pp. 148-155. Calderón, H. (1966). La Ciencia Matemática de los Mayas. México D.F: Editorial Orion. Garcilaso de la Vega. (1609). Comentarios Reales de los Incas. Perú: A.F.A. Editores Importadores S.A., (edition 2004). Gheverghese, G. (1990). The Crest of the Peacock. London: Penguin Books. Guaman Poma de Ayala, F. (1613). Nueva Coronica y Buen Gobierno. Paris: Institut d’Ethnologie, Universite de Paris. (edition 1936). National Geographic: The Inca Empire interactive map. Obtained December 20, 2011, from http://ngm.nationalgeographic.com/2011/04/inca-empire/interactive-map Radicati Di Primeglio, C. (1973). El Sistema Contable de los Incas. México: Librería Studium, Urton, G. (1997).The Social Life of Numbers: A Quechua Ontology of Numbers and Philosophy of Arithmetic. Austin: University of Texas Press. Wassen, H. (1931). The Ancient Peruvian Abacus. Comparative Ethnographical Studies. (9), 191-205.