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PROBLEMAS
Caminhando para St. Ives
Caracol e o muro
Carteiros
Dividindo o vinho
Maria e as maçãs
Medindo com vasilhas
Os sobreviventes
Pitagóricos
Torneiras
Travessias

Referências bibliográficas

Geral

Ball, Rouse (1907). Récréations Mathématiques et problèmes des temps ancient et modernes, Librairie Scientifique A. Hermann, Paris.

Burton, David M.(1991). The history of Mathematics – An introduction, Wm. C. Brown Publishers.

Fauvell, John; Gray Jeremy (1992). The history of Mathematics – A reader, The Macmillan Pree ltd.

Heilbron, J. (1998). Geometry Civilized. History, Culture, and Technique. Clarendon Press, Oxford.

Joseph, George G. (1990). The Crest of the Peacock, Penguim Books. 

Katz, Victor. (1993). A History of Mathematics, an Introduction, HarperCollins Publishers. 

Smith, D. (1952). History of Mathematics, vol II, Dover Publications, Inc. New York.

Smith, D. (1952a). History of Mathematics, vol I, Dover Publications, Inc. New York.

Struik, Dirk J. (1992). História concisa das Matemáticas, Gradiva, Lisboa.

van der Waerden, B. L..(1983). Geometry and Algebra in Ancient Civilizations. Springer-Verlag

Wells, David (1992). The penguin book of curious and interesting puzzles. Peguin Books.

Matemática no Egipto
Clagett, M. (1999) Ancient Egyptian Science a Source Book: Ancient Egyptian Mathematics, Diane Publishing

Gillings, Richard.(1982). Mathematics in the time of the Pharaohs, Dover Publications, Inc., New York.

Imhausen, A. (2007). Egytian Mayhematics, In Victor Katz, ed., The mathematics of Egypt, Mesopotamia, China, India, and Islam : a sourcebook (pp.   ) , Princeton : Princeton University Press

Parker, Richard Anthony(1969). Some demotic Mathematical Papyri, Centaurus, 14(1), pp. 136-141.

Parker, Richard Anthony (1972). Demotic Mathematical Papyri, Brown University Press.

Parker, Richard Anthony (1975). A Mathematical exercise: P. Dem. Heidelberg 663, The Journal of Egyptian Archaeology, 61,  pp. 189-196.

Matemática na Mesopotâmia

Archibald, R. C. (1936). Babylonian Mathematics. Isis, Vol. 26, No. 1., pp. 63-81.

Englund, R. K. (2004). The state of decipherment of Proto-Elamite, in S. Houston, ed., The First Writing: Script Invention as History and Process. Cambridge, UK: Cambridge University Press, pp. 100-149.

Friberg, J. (2005).Unexpected Links between Egyptian and Babylonian Mathematics. Singapore: World Scientific.

Friberg, J. (2007). A Remarkable Collection of Babylonian Mathematical Texts. New York: Springer.

Friberg, J. (2007a). Amazing Traces of a Babylonian Origin in Greek Mathematics. Singapore: World Scientific.

Høyrup, J. (1994).  In measure, number, and weight.  Studies in Mathematics and culture. New York, State University of New York Press.

Hørup, J. (2001). Early Mesopotamia: A statal society shaped by and shaping its Mathematics. Comunicação apresentada no colóquio “Les Mathematiques et l'état”, Cirm-Luminy, 15 octobre–19 octobre 2001. Mimeo, Roskilde University.

Hørup, J. (2002). Was Babylonian Mathematics created by `Babylonian Mathematicians´? Comunicação apresentada em “4. Internationales Kolloquium der Deutschen Orient-Gesellschaft «Wissenskultur im Alten Orient».

Hørup, J. (2002a) Lengths, widths, surfaces: a portrait of Old Babylonian algebra and its kin, Berlin; Springer.

Hørup, J. (2003). Bronze Age formal science?: With additional remarks on the historiography of distant mathematics, Proceedings for the Conference "Foundations of the Formal Sciences IV, The History of the Concept of the Formal Sciences", Bonn, February 14-17, 2003. London: College Publications.

Melville, D. (2002). Weighing stones in ancient Mesopotamia, Historia Mathematica, 29, 1-12.

Nemet-Nejat, Karen, Rhea (1993). Cuneiform Mathematical texts as a reflection of everyday life in Mesopotamia, American Oriental Society

Neugebauer, O. & Sachs, A. (1945). Mathematical Cuneiform Texts, American Oriental Series 29, New Haven.

Robson, Eleanor. (1999). Mesopotanian Mathematics (2100 - 1600 a.C.), Clarendon Press, Oxford.

Robson, Eleanor. (2000). Mesopotamian mathematics: some historical background, in V.J. Katz (ed.), Using history to teach Mathematics, (pp. 149-158), Washington DC: Mathematical Association of America.

Robson, Eleanor. (2003). Table and tabular formatting in Sumer, Babylonia and Assyria, 2500 BCE - 50 CE, in M. Campbell-Kelly, M.Croarken, R. Flood & E. Robson (Ed.), The history of Mathematical tables from sumer to spreadsheets, (pp. 18-47) Oxford University Press, Oxford.

Robson, Eleanor. (2007). Mesopotamian mathematics, in V.J. Katz (ed.), The mathematics of Egypt, Mesopotamia, China, India, and Islam: a sourcebook  (pp. 57-186), Princeton: Princeton University Press.

Matemática na Índia

Aiyar, S. Balakrishana. (1994). The Ganita-Sara-Sangraha of Mahaviracarya, in From five fingers to infinity, Open Court Publishing Company.

Bhaskara. (2001). Lilavati of Bhaskaracharya: A treatise of Mathematics of Vedic Tradition. Tradução de Krishnaji Shankara Patwardhan, Somashekara Amrita Naimpally e Shyam Lal Singh. Motilal Banarsidass Pub., Deli.

Gangolli, Ramesh. (199). Asian Contributions to Mathematics.

Hayashi, Takao. (1995). The Bakhshali Manuscript. An ancient Indian mathematical treatise , Egbert Forsten, Groningen, The Netherland.

Ignace, Lawrence S. (1997). Quelque aspects des suites et des fractions dans Ganita-Sâra-Sangrahia de Mahaviraçarya (IX Siècle) in actas do colóquio L’Ocean Indien au Carrefour des Mathematiques arabes, Chinoise, Europeennes et Indiennes.

Keller, Agatha (2005). Making diagrams speak, in Bhaskara I’s commentary on the Aryabhatıya, Historia Mathematica, 32(3), 275-302.

Keller, Agatha (2006).  Expounding the Mathematical Seed,a translation of Bhaskara I on the mathematical chapter of the Aryabhatiya, Birkhauser Verlag.

Plofker, Kim (2007). Mathematics in India, In Victor Katz, ed., The mathematics of Egypt, Mesopotamia, China, India, and Islam : a sourcebook (pp.385-514), Princeton: Princeton University Press.

Mahaviracarya. (1912). The Ganita-Sara-Sangraha of  Mahavira, tradução de M. Rangacarya, Government of Madras.

Matemática Árabe

Berggren, J. Lennart (2007). Mathematics in the Medieval Islam In Victor Katz, ed., The mathematics of Egypt, Mesopotamia, China, India, and Islam : a sourcebook (pp.   ) , Princeton : Princeton University Press.

Cromwell, P. R. (1997). Polyhedra. New York: Cambridge University Press.

Katz, Victor (1993). A History of Mathematics, an introduction, HarperCollins Publishers. 

King, Charles (1994). Leonardo Fibonacci in From five fingers to infinity, Open Court Publishing Company.

Libri, Guillaume (1838). Histoire des Science Mathématiques en Italie, Depuis la renaissance des lettres, Tome Premier, Jules Renouard et C^ie, Paris.

Miller, G. (1921). The Formula |frac12 a(a + 1) for the Area of an Equilateral Triangle, The American Mathematical Monthly, Vol. 28, No. 6/7. , pp. 256-258.

Sigler, L.E. (2002). Fibonacci's Liber Abaci - A translation into morden English of Leonardo Pisano's Book of Calculation, Speinger-Verlag New-York, Inc., New-York.

Spiesser, Maryvonne (2006). Le compendy de la praticque des nombres, une arithmetique du XVe siecle a mi-chemin entre theorie et pratique comerciale

Radford, L. (2003). On the epistemological limits of language. Mathematical knowledge and social practice in the Renaissance. Educational Studies in Mathematics, 52(2), 123-150

Internet

http://digilander.iol.it/basecinque/misure/incontro.htm

The Digital Scriptorium - http://sunsite.berkeley.edu/Scriptorium/

 

Anania de Shirak

Danilov, Y. (1993). The Problem Book of Anania of Shirak (ancient Armenian mathematics), in Quantum, Mar/Apr93.

Hewsen, Robert (1968). Science in Seventh-Century Armenia: Ananias of Sirak,  Isis 59, p. 32.

 

Regra de Três Simples

Bronkhorst, J. (2001). Panini and Euclid: Reflections on Indian geometry, Journal of Indian Philosophy, 29, 43-80.
Horup,  J. (2007). Further questions to the historiography of Arabic (but not only Arabic) mathematics from the perspective of Romance abbacus mathematics: Contribution to the "9^ième Colloque Maghrébin sur l'Histoire des Mathématiques Arabes, Tipaza, 12-13-14 Mai 2007.

Sarma, S. (2002). Rule of Three and its Variations in India " in: Yvonne Dold-Samplonius et al. (ed), From China to Paris : 2000 Years Transmission of Mathematical Ideas, (pp. 133-156), Stuttgart: Steiner Verlag.

Smith, D.  (1926). The first great commercial arithmetic, Isis, 8 (1), 41-49.

 

Números

Ore, Oystein (1988)  Number Theory and Its History. New York: Dover.

Yan, S.,  & Hellman, M. (2002). Number theory for computing, 2nd ed. Berlin:. Springer-Verlag.

Última actualização 01-06-2008