Ciência de Garagem

Um blog sobre ciência em geral e matemática em particular

Mostrando postagens com marcador referências bibliográficas. Mostrar todas as postagens
Mostrando postagens com marcador referências bibliográficas. Mostrar todas as postagens

quinta-feira, dezembro 03, 2020

Matemática - Volume 2 - Referências bibliográficas

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Leitão, H “Pedro Nunes e o Libro de Algebra”, Quaderns d’història de l’Enginyieria, volum XI, 2010, pp 09-18.
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Areán-García, N. “A divisão do galego-português em português e galego, duas línguas com a mesma origem”, Revista Philologus, ano 17, No. 49, Jan/Abr 2011, pp 07-15.
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Wikipedia, “História de Portugal”, acessado em Setembro de 2015:
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Mark, J. J. “Alexandria”, Ancient History Encyclopedia, April 2011:
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Deaking, M. A. B. “Hypatia and her mathematics”, The American Mathematical Monthly, March 1994, volume 101, No. 3, pp 234-243.
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Riddle, L. H. “Biographies of women mathematicians”, Agnes Scott College:
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de Heinzelin, J. "Ishango", Scientific American, 206:6 (June 1962) pp 105-116
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Pereira, A. B. S. “A teoria da metempsicose pitagórica”, Universidade de Brasília, dissertação de mestrado em filosofia, 2010.
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Cornelli, G. “O pitagorismo como categoria, historiográfica”, Centro de estudos clássicos e humanísticos da Universidade de Coimbra, 2011.
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Fonseca, R. V. “Teoria dos números”, Centro de Ciências Sociais e Educação, Unversidade do Estado do Pará, 2011.
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Commandino, F. “Elementos – livros I a VI, XI e XII”, Edições Cultura, 1944
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Araújo, H.; Garapa, M.; Luís R. “Elementos de Euclides – Livros VII e IX”, Universidade do Funchal, 2005.
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Wikipedia “Algoritmo de Euclides”, acessado em Setembro de 2015:
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Grenfell, B. P.; Hunt, A. S. “The Hibeh papyri”, London, 1906.
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Abdulaziz, A. A. “On the Egyptian method of decomposing 2/n into unit fractions”, Historia Mathematica 35, 2008, pp 01–18.
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Fowler, D. H.; Turner, E. G. "Hibeh papyrus i27: an early example of greek arithmetical notation", Historia Mathematica 10, 1983, pp 344-359.
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Knorr, W. "Techniques of fractions in ancient egypt and greece", Historia Mathematica 9, 1982, pp 133-171.
[18]
Dey, S. K.; Dey, R. "Teaching arithmetic of fractions using geometry", Journal of Mathematics Education, 2010, vol. 3, No. 2, pp 170-182.
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Lafferty, J. "Ancient wisdom: primes, continued fractions, the golden ratio and Euclid's GCD", Carnegie Mellon University, 2006, notas de aula.
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Beeckmans, L. "The splitting algorithm for Egyptian fracions", Journal of Number Theory 43, 1993, pp 173-185.
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Pitts, M. "Maya numbers & the Maya calendar - A Non-Technical Introduction to Maya gliphs – Book 2", Foundation for the advancement of mesoamerican studies, inc., 2009, acessível em Setembro de 2015: http://www.famsi.org/research/pitts
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Maher D. W.; Makowski J. F. "Literary Evidence for Roman Arithmetic with Fractions", Classical Philology 96, 2001, pp 376–399.
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Collins D. C. "Continued fractions", MIT undergraduate journal of mathematics, pp 11-18.
[24]
Sykorova, I. "Fractions in ancient Indian mathematics", WDS'10 Proceedings of Contributed Papers, Part I, 2010, pp 133–138.
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Kosheleva O.; Kreinovich V. "Egyptian fractions revisited", Informatics in Education, 2009, Vol. 8, No. 1, pp 35–48.
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Baptista, J. P.; Ferracioli, L. "Os grandes números", Revista Brasileira de Ensino de Física, vol. 23, no. 1, 2001, pp 130-140.
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Tahan, M. (Prof. Júlio César de Mello e Souza) “O homem que calculava”, Grupo editorial Record.
[28]
Aiden H. "Anything but square: from magic squares to sudoku", Plus magazine, acessado em Setembro de 2015:
https://plus.maths.org/content/anything-square-magic-squares-sudoku 
[29]
Berryman, S. “Ancient atomism”, Stanford Encyclopedia of Philosophy:
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Parry, R. “Empedocles”, Stanford Encyclopedia of Philosophy, 2012:
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[31]
Pereira, H. S. “Poliedros Platônicos”, Universidade Federal de Minas Gerais, monografia de pós-graduação em matemática para professores do ensino básico, 2011.
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Russel, B. “History of Western Philosophy”, Simon & Schuster, 2007.


sexta-feira, março 24, 2017

Matemática - Volume 3 - Referências bibliográficas

[1]
Fowler, D. H. “Ratio in early Greek mathematics”, Bulletin (new series) of the American Mathematical Society, volume 1, number 6, Nov/1979.
[2]
Abdounur, O. J. “Ratios and music in the late Middle Ages: a preliminar survey”, Max Plank Institute for the History Science, Preprint 181, 2001.
[3]
Guiness, I. G. “Numbers, magnitudes, ratios and proportions in Euclid’s Elements: how did he handle them?”, Historia Mathematica 23, pp 355 – 375, 1996.
[4]
Stein, H. “Eudoxos and Dedekind: on the ancient Greek theory of ratios and its relation to modern mathematics”, Synthese 84, pp 163 – 211, 1990.
[5]
Fett, B. “An in-depth investigation of the divine ratio”, The Montana Mathematics Enthusiast, volume 3, No. 2, pp 157 – 175, 2006.
[6]
Silva, D. P. C. “Alguns marcos históricos relativos a um conceito matemático elementar: um estudo sobre proporções”, Universidade do Minho, dissertação de mestrado, 2012.
[7]
Rossi, C.; Tout, C. A. “Were the Fibonacci series and the golden section known in ancient Egypt?”, Historia Mathematica 29, pp 101 – 113, 2002.
[8]
Falbo, C. “The golden ratio – a contrary viewpoint”, The College Mathematics Journal, volume 36, No. 2, March 2005.
[9]
Markowsky, G. “Misconceptions about the golden ratio”, The College Mathematics Journal, volume 23, No. 1, January 1992.
[10]
Ávila, G. “Aristarco e as dimensões astronômicas”, Revista do Professor de Matemática No. 55.
[11]
Hannah, J. “False position in Leonardo of Pisa’s Liber Abacci”, Historia Mathematica, volume 34, issue 3, pp 306 – 332, August 2007.
[12]
Høyrup, J. ““Proportions” in and around the Italian Abbacus Tradition”, Physis, rivista internazionale di storia della scienza, January 2010.
[13]
Boman, E. C. “False position, double position and Cramer’s rule”, The College Mathematics Journal, volume 40, No. 4, pp 279 – 283, Sep/2009.
[14]
Wikipedia “History of coins in Italy”, acessado em Outubro/2015, site:
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Medeiros, C. F.; Medeiros, A. “O método da falsa posição na história e na educação matemática”, Ciência & Educação, volume 10, No. 3, pp 545 – 557, 2004.
[16]
Russell, B. “The history of western philosophy”, Simon and Schuster, New York, 1945.
[17]
Taani, O. "Multiple Paths to Mathematics Practice in al-Kashi’s Key to Arithmetic: A Preliminary Report" MAA Session on Treasures from the Past: Using Primary Sources in the Classroom, Joint Mathematics Meetings, New Orleans, January 2011.
[18]
Araújo, M. P. F. “Introdução ao conceito de números reais: uma proposta didática baseada na história da matemática”, Universidade Federal do Rio de Janeiro, tese de mestrado, 2011.
[19]
Wu, H. "Fractions, Decimals, and Rational Numbers", Learning Processes Task Group of the National Mathematics Advisory Panel, revised 2014.
[20]
Kak, S. C. “Three old indian values of π”, Indian Journal of History of Science, 32(4), pp 307 – 314, 1997.
[21]
King, A. “Finding pi with Archimede’s exhaustion method”, Mathematics Teaching in the Middle School, volume 19, No. 2, Sep/2013.
[22]
Borwein, J. M. "The Life of Pi: From Archimedes to Eniac and Beyond", prepared for Mathematics in Culture, Draft 1.4/1.5, Canada Research Chair & Director Dalhousie Drive.
[23]
Høyrup, J. “Egyptian mathematics”, contribution to The Cambridge History of Science, 2001.
[24]
Zahrt, K. R. “Thoughts on ancient Egyptian mathematics”, Undergraduate Research Journal – Indiana University South Bend, volume 3, pp 90 – 93, 2000.
[25]
Katz, V. J. “A history of mathematics – An introduction”, Third Edition, Addison-Wesley.
[26]
Ramanujan, S. “Squaring the circle”, Journal of the Indian Mathematical Society, V, pag. 132, 1913.
[27]
Fowler, D.; Robson, E. “Square root approximations in old Babylonian mathematics: YBC 7289 in context”, Historia Mathematica 25, pp 366 – 378, 1998.
[28]
Hahn, H. K. “The ordered distribution of natural numbers on the square root spiral”, arXiv:0801.4422. 
[29]
Dumbrava, C. at alli “Euclidean division and the continued fractions, periodicity and irrational number”, European Student Conference in Mathematics, Greece, 2015.
[30]
Nunes, C. A. “Diálogos de Platão – Teeteto Crátilo”, Editora Universitária UFPA, 2001.
[31]
Parakh, A. “Aryabhata’s root extraction methods”, Indian Journal of History of Science, 42.2, pp 149 – 161, 2007.
[32]
Archibald, R. C. “Mathematics before the Greeks”, Science, pp 109 – 121, 1930
[33]
Junior, L. P. S. “Construções geométricas por régua e compasso e números construtíveis”, Universidade Federal de Campina Grande, mestrado profissional, Abril/2013
[34]
Heeffer, A. “Negative numbers as an epistemic difficult concept - some lessons from history”, Center for Logic and Philosophy of Science, Ghent Univeristy, 2014.
[35]
Kilhamn, C. “Making sense of negative numbers”, Göteborgs Universitet, Doctoral thesis, 2011.
[36]
Mumford, D. “What’s so baffling about negative numbers? – a crosscultural comparison”, Brown Univeristy, 2015.
[37]
Brown, E. “Square roots from 1; 24, 51, 10 to Dan Shanks”, The College Mathematics Journal, volume 30, No. 2, 1999.
[38]
Kosheleva, O. “Babylonian method of computing the square root: justifications based on fuzzy techniques and on computational complexity”, Fuzzy Information Processing Society, 2009. NAFIPS 2009. Annual Meeting of the North American.
[39]
Allen, G. D. “The remarkable number 1”, Science & Education, volume 23, No. 7, Jul/2014.
[40]
Stanford Encyclopedia of Philosophy “Supertasks”, acessado em 2016
[41]
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[42]
Wikipedia “Georg Cantor’s first set theory article”, acessado em 2016.
[43]
Wikipedia “Cantor’s diagonal argument”, acessado em 2016.