Bibliografia e textos
Bibliografia e textos
Nesta secção encontra as referências e fontes de investigação que serviram de base ao projeto Mathis, organizadas por temas e civilizações. Sempre que possível, é disponibilizado o acesso direto ao documento ou artigo original em formato digital para consulta.
Ball, Rouse (1907). Récréations Mathématiques et problèmes des temps ancient et modernes, Librairie Scientifique A. Hermann, Paris. [📄 Ler PDF]
Burton, David M.(1991). The history of Mathematics – An introduction, Wm. C. Brown Publishers. [📄 Ler PDF]
Fauvell, John; Gray Jeremy (1992). The history of Mathematics – A reader, The Macmillan Press ltd. [📄 Ler PDF]
Heilbron, J. (1998). Geometry Civilized. History, Culture, and Technique. Clarendon Press, Oxford. [📄 Ler PDF]
Joseph, George G. (1990). The Crest of the Peacock, Penguin Books. [📄 Ler PDF]
Katz, Victor. (1993). A History of Mathematics, an Introduction, HarperCollins Publishers. [📄 Ler PDF]
Smith, D. (1952). History of Mathematics, vol II, Dover Publications, Inc. New York. [📄 Ler PDF]
Smith, D. (1952a). History of Mathematics, vol I, Dover Publications, Inc. New York. [📄 Ler PDF]
Struik, Dirk J. (1992). História concisa das Matemáticas, Gradiva, Lisboa. [📄 Ler PDF]
van der Waerden, B. L..(1983). Geometry and Algebra in Ancient Civilizations. Springer-Verlag [📄 Ler PDF]
Wells, David (1992). The penguin book of curious and interesting puzzles. Penguin Books. [📄 Ler PDF]
Matemática no Egito
Clagett, M. (1999) Ancient Egyptian Science a Source Book: Ancient Egyptian Mathematics, Diane Publishing [📄 Ler PDF]
Cooper, Leon (2010). A new interpretation of Problem 10 of the Moscow Mathematical Papyrus, Historia Mathematica. [📄 Ler PDF]
Gillings, Richard.(1982). Mathematics in the time of the Pharaohs, Dover Publications, Inc., New York. [📄 Ler PDF]
Gunn, Battiscombe; Peet, T. Eric (1929). Four Geometrical Problems from the Moscow Mathematical Papyrus, The Journal of Egyptian Archaeology. [📄 Ler PDF]
Høyrup, J. (1999). Pythagorean “rule” and “theorem”—mirror of the relation between Babylonian and Greek mathematics. In J. Renger (Ed.), Babylon: Focus mesopotamischer Geschichte, Wiege früher Gelehrsamkeit, Mythos in der Moderne (pp. 393–407). Saarbrücken: Saarbrücker Druckerei und Verlag.
Imhausen, A. (2007). Egytian Mahematics, In Victor Katz, ed., The mathematics of Egypt, Mesopotamia, China, India, and Islam : a sourcebook (pp. ) , Princeton : Princeton University Press [📄 Ler PDF]
Imhausen, A. (2016). Mathematics in ancient Egypt : a contextual history, Princeton University Press [📄 Ler PDF]
Parker, Richard Anthony(1969). Some demotic Mathematical Papyri, Centaurus, 14(1), pp. 136-141. [📄 Ler PDF]
Parker, Richard Anthony (1972). Demotic Mathematical Papyri, Brown University Press. [📄 Ler PDF]
Parker, Richard Anthony (1975). A Mathematical exercise: P. Dem. Heidelberg 663, The Journal of Egyptian Archaeology, 61, pp. 189-196. [📄 Ler PDF]
Peet, T. Eric (1931). A problem in Egyptian geometry, Journal of Egyptian Archaeology. [📄 Ler PDF]
Robins, G.; Shute, C., (1987).The Rhind Mathematical Papyrus : an ancient Egyptian text, BM press [📄 Ler PDF]
Internet
http://www.lib.umich.edu/pap/
Archibald, R. C. (1936). Babylonian Mathematics. Isis, Vol. 26, No. 1., pp. 63-81. [📄 Ler PDF]
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. [📄 Ler PDF]
Friberg, J. (2007). A Remarkable Collection of Babylonian Mathematical Texts. New York: Springer. [📄 Ler PDF]
Friberg, J. (2007a). Amazing Traces of a Babylonian Origin in Greek Mathematics. Singapore: World Scientific. [📄 Ler PDF]
Høyrup, J. (1994). In measure, number, and weight. Studies in Mathematics and culture. New York, State University of New York Press. [📄 Ler PDF]
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. [📄 Ler PDF]
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. [📄 Ler PDF]
Melville, D. (2002). Weighing stones in ancient Mesopotamia, Historia Mathematica, 29, 1-12. [📄 Ler PDF]
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. [📄 Ler PDF]
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. [📄 Ler PDF]
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. [📄 Ler PDF]
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. [📄 Ler PDF]
Dauben, Joseph W. (2007). Chinese Mathematics, in Victor J. Katz: The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook. Princeton University Press [📄 Ler PDF]
Kangshen, Shen; Crossley, John e Lun, Anthony. (1999). The Nine Chapters on the Mathematical Art, Oxford University Press [📄 Ler PDF]
Siu, Man-Keung (1996). Ancient Chinese Mathematics in História e Educação Matemática - Vol. I, APM
Swetz, Frank (1995). Using Problems from the History of Mathematics in Classroom Instruction in Learn from the Masters, The Mathematical Association of America. [📄 Ler PDF]
Yan, Li; Shíràn, Dú, trad. de John Crossly e Anthony Lun. (1987) Chinese Mathematics, a Concise History, Oxford Science Publication, New York. [📄 Ler PDF]
Lam, Yong Lay (1997). Zhang Qiujian suanjing (The mathematical classic of Zhang Qiujian): an overview, Arch. Hist. Exact Sci. 50 (3-4), 201-240. [📄 Ler PDF]
Lam, Yong Lay e Se, Ang Tian. (2004) Fleeting Foot steps, tracing the conception of arithmetic and algebra in ancient China , World Scientific Publishing Co. Pte. Ltd. [📄 Ler PDF]
Anthologie Grecque - Anthologie Palatine (Livres XII-XV) (1970). tradução de Félix Buffière, Les Belles Lettres, Paris. [📄 Ler PDF]
Antologia Grega - Epigramas Vários (livros IV, XIII, XIV, XV) (2017), tradução de Carlos A. Martins de Jesus, Imprensa da Universidade de Coimbra, Coimbra.
Baillet, Jules (1892). Le papyrus mathématique d'Akhmîm (Mémoires de la Mission archéologique française au Caire, IX.1). Le Caire: Ernest Leroux [📄 Ler PDF]
Bruins, E.; Sijpesteijn P. & Worp, K. (1974). A greek Mathematical papyrus, Janus. Revue internationale de l'histoire des sciences, de la médecine, de la pharmacie et de la technique, 61, 291 - 312. [📄 Ler PDF]
Friberg, Jöran (2005). Unexpected Links between Egyptian and Babylonian Mathematics. New Jersey, London and Singapore: World Scientific. [📄 Ler PDF]
Gerstinger, Hans & Vogel, Kurt (1932). Eine neue geometrische Textesammlung (Papyrus Vindobonensis G 19996). Wien: Karl Hönn. [📄 Ler PDF]
Goodspeed, Edgar Johnson (1898). The Ayer Papyrus: A Mathematical Fragment, The American Journal of Philology, 19(1), pp. 25-39. [📄 Ler PDF]
Goodspeed, Edgar Johnson (1903). The Ayer Papyrus, The American Mathematical Monthly, 10(5), pp. 133-135 [📄 Ler PDF]
Karpinski, L. C., & Robbins, F. E. (1929). "Michigan Papyrus 620; The Introduction of Algebraic Equations in Greece". Science, Vol. LXX, No. 1813, pp. 311-314. [📄 Ler PDF]
Robbins, Frank Egleston (1934). Greco-Egyptian arithmetical problems: P. Mich. 4966, Isis, 22, (1), pp. 95-103. [📄 Ler PDF]
Internet
Aiyar, S. Balakrishana. (1994). The Ganita-Sara-Sangraha of Mahaviracarya, in From five fingers to infinity, Open Court Publishing Company. [📄 Ler PDF]
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. [📄 Ler PDF]
Gangolli, Ramesh. (199). Asian Contributions to Mathematics.
Hayashi, Takao. (1995). The Bakhshali Manuscript. An ancient Indian mathematical treatise , Egbert Forsten, Groningen, The Netherland.[📄 Ler PDF]
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. [📄 Ler PDF]
Keller, Agatha (2005). Making diagrams speak, in Bhaskara I’s commentary on the Aryabhatıya, Historia Mathematica, 32(3), 275-302. [📄 Ler PDF]
Keller, Agatha (2006). Expounding the Mathematical Seed,a translation of Bhaskara I on the mathematical chapter of the Aryabhatiya, Birkhauser Verlag. [📄 Ler PDF]
Mahaviracarya. (1912). The Ganita-Sara-Sangraha of Mahavira, tradução de M. Rangacarya, Government of Madras. [📄 Ler PDF]
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. [📄 Ler PDF]
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. [📄 Ler PDF]
Cromwell, P. R. (1997). Polyhedra. New York: Cambridge University Press. [📄 Ler PDF]
Heefer, A. (2012). A Conceptual Analysis of Early Arabic Algebra. In: Shahid Rahman, Tony Street, Hassan Tahiri, eds., The Unity of Science in the Arabic Tradition; Science, Logic, Epistemology and their Interactions (pp. 415–439). Dordrecht: Springer. [📄 Ler PDF]
Rashed, R. & Morelon, R. (eds.) (1996). Encyclopedia of the history of Arabic science. 3 vol. Routledge. [📄 Ler PDF]
Rashed, R. (1994). The development of Arabic mathematics: between arithmetic and algebra., Springer Netherlands [📄 Ler PDF]
Rosen, F. (2013) The Algebra of Mohammed ben Musa, Georg Olms Verlag., Cambridge University Press [📄 Ler PDF]
Scriba, C. (1966) John Wallis' Treatise of Angular Sections and Thabit ibn Qurra's Generalization of the Pythagorean Theorem, Isis, 57, 56-66. [📄 Ler PDF]
Youschkevitch, Adolf P. (1976). Les Mathématiques Arabes (VIIIe - XVe siècles), Librairie Philosophique J. Vrinm, Paris. [📄 Ler PDF]
Alcuin (1993). Propositiones Alcuini Doctoris Caroli Magni Imperatoris ad Acuendes Juvenes. Tradução (para inglês) de Peter J. Burkholder.
Hadley, John e Singmaster, David (1992). Problems to sharpen the young Mathematical gazette 76, n.º 475, pp. 102-126. [📄 Ler PDF]
Horup, J. (1999). VAT. LAT. 4826 Jacopo da Firenze, Tractatus algorismi. Preliminary transcription of the manuscript, with occasional commentaries
Katz, Victor (1993). A History of Mathematics, an introduction, HarperCollins Publishers. [📄 Ler PDF]
King, Charles (1994). Leonardo Fibonacci in From five fingers to infinity, Open Court Publishing Company. [📄 Ler PDF]
Libri, Guillaume (1838). Histoire des Science Mathématiques en Italie, Depuis la renaissance des lettres, Tome Premier, Jules Renouard et Cie, 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. [📄 Ler PDF]
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. [📄 Ler PDF]
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 [📄 Ler PDF]
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. [📄 Ler PDF]
Regra de Três Simples
Bronkhorst, J. (2001). Panini and Euclid: Reflections on Indian geometry, Journal of Indian Philosophy, 29, 43-80. [📄 Ler PDF]
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 "9ième 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.[📄 Ler PDF]
Smith, D. (1926). The first great commercial arithmetic, Isis, 8 (1), 41-49.[📄 Ler PDF]
Números
Ore, Oystein (1988) Number Theory and Its History. New York: Dover.[📄 Ler PDF]
Yan, S., & Hellman, M. (2002). Number theory for computing, 2nd ed. Berlin:. Springer-Verlag.[📄 Ler PDF]
Ascher, M. (1991). Ethnomathematics: A Multicultural View of Mathematical Ideas. Pacific Grove, CA: Brooks/Cole Publishing Company. (Ver Capítulo 4: "Chance and Strategy in Games and Puzzles" ) [📄 Ler PDF]
Swetz, F. J. (2012). Mathematical Expeditions: Exploring Word Problems Across the Ages. Baltimore, MD: Johns Hopkins University Press. [📄 Ler PDF]
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