Ciência de Garagem

Um blog sobre ciência em geral e matemática em particular

Mostrando postagens com marcador e-book de matemática. Mostrar todas as postagens
Mostrando postagens com marcador e-book de matemática. Mostrar todas as postagens

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:
https://en.wikipedia.org/wiki/History_of_coins_in_Italy.
[15]
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]
Internet Encyclopedia of Philosophy “Infinite”, acessado em 2016.
[42]
Wikipedia “Georg Cantor’s first set theory article”, acessado em 2016.
[43]
Wikipedia “Cantor’s diagonal argument”, acessado em 2016.