História da Matemática

Código: MC8311

TPI: 4-0-4

Carga Horária: 48 horas

Recomendações: Não há

Conteúdo Programático

Origens da matemática; a matemática no Egito e na Babilônia; a matemática Grega; a matemática Hindu-Chinesa; os Árabes na matemática; A matemática na idade média; a álgebra de Viete; Fermat e Descartes; origens e desenvolvimento do Cálculo; Newton e Leibniz; a era Bernoulli; Euler; Cauchy e Gauss; Abel e Galois; Geometrias não-Euclidianas; a passagem do Cálculo para a Análise; fundamentos: Boole, Cantor e Dedekind; a matemática do século 20 e a matemática contemporânea.

Bibliografia Básica

• BOYER, C. B. História da matemática. São Paulo, Edgard Blücher, 2.ed., 1996.

• BURTON, D. M. The history of mathematics: an introduction. Columbus, McGraw-Hill, 7.ed., 2010

• CAJORI, F.. Uma história da matemática. Rio de Janeiro, Ciência Moderna, 2007.

• da COSTA,N. C. A. Introdução aos fundamentos da matemática. São Paulo, Hucitec, 2009.

• EUCLIDES. Os elementos. São Paulo, UNESP, 2009.

• EVES, H.; Introdução à história da matemática. Campinas, UNICAMP, 4.ed., 2004.

• HILBERT, D.; Fundamentos da geometria. Lisboa, Gradiva, 2003.

• KATZ, V. J.; História da matemática. Lisboa, Fundação Calouste Gulbenkian, 2010.

• SILVA, J.; Filosofias da matemática. São Paulo, UNESP, 2007.

Bibliografia Complementar

• ARTMANN, B. Euclid: the creation of mathematics. New York, Springer, 1999.

• ASPRAY, W. & KITCHER, P. (eds). History and philosophy of modern mathematics. Minneapolis, University of Minnesota, 1988.

• BARON, M. The origins of infinitesimal calculus. Mineola (New York), Dover, 1969.

• BOYER, C. B. The history of the calculus and its conceptual development. Mineola (New York), Dover, 1959.

• BOYER, C. B. History of the analytic geometry. Mineola (New York), Dover, 2004.

• CAJORI, F. A history of mathematical notations, vol. 1. New York, Cosimo, 2007.

• CAJORI, F. A history of mathematical notations, vol. 2. New York, Cosimo, 2007.

• CAJORI, F. A history of the conceptions of limits and fluxions in Great Britain, from Newton to Woodhouse. Charleston (South Carolina), Nabu Press (BiblioLabs LLC), 2010.

• EDWARDS, C.H. Jr. The historical development of the calculus. New York, Springer, 1994.

• EVES, H.. Foundations and fundamental concepts of mathematics. Mineola (New York), Dover, 3.ed., 1997.

• EWALD, W. B. (ed). From Kant to Hilbert: a source book in the foundations of mathematics. Oxford, Oxford University, 2007.

• FERREIRÓS, J. & GRAY, J. (eds). The architecture of modern mathematics: essays in history and philosophy. Oxford, Oxford University, 2006.

• GRATTAN-GUINNESS, I. From the calculus to set theory, 1630-1910: introductory history. London. Duckworth, 1980.

• GRATTAN-GUINNESS, I. (ed). Landmark writings in western mathematics, 1640-1940. Amsterdam/ Boston, Elsevier, 2005.

• GREENBERG, M. J. Euclidean and non-Euclidean geometries: development and history. New York , W. H. Freeman, 4.ed., 2007.

• GUICCIARDINI, N.. Reading the Principia: the debate on Newton’s mathematical methods for natural philosophy from 1687 to 1736. Cambridge, Cambridge University, 1999

• HACKING, I.. The emergence of probability: a philosophical study of early ideas about probability, induction and statistical inference. Cambridge, Cambridge University, 1999.

• HEATH, T. L. Euclid: the thirteen books of The Elements. Mineola (New York), Dover, 2.ed., 1956.

• HEATH, T. L. A history of Greek mathematics: from Tales to Euclid. Mineola (New York), Dover, 1981.

• HEATH, T. L. A history of Greek mathematics: from Aristarchus to Diophantus. Boston, Adamant Media, 2000.

• HEATH, T. L. The works of Archimedes. Mineola (New York), Dover, 2002.

• KATZ, V. J. A history of mathematics. s/l, Addison Wesley, 3.ed., 2008.

• KITCHER, P. The nature of mathematical knowledge. Oxford, Oxford University, 1985.

• KLEINER, I.. A history of abstract algebra. Boston, Birkhäuser, 2007.

• KÖRNER, S.. The philosophy of mathematics: an introductory essay. Mineola (New York), Dover, 2009.

• MANCOSU, P.. Philosophy of mathematics and mathematical practice in the seventeeth century. Oxford, Oxford University, 2008.

• PESIC, P. Abel’s proof: an essay on the source and meaning of mathematical unsolvability. Cambridge (Massachusetts), MIT, 1976.

• SMITH, D. E. A source book in mathematics. Mineola (New York), Dover, 1984.

• STILLWELL, J. Mathematics and its history. Berlin, Springer, 2010.

• STRUIK, D. J. A concise history of mathematics. Mineola (New York), Dover, 4.ed., 1987.

• WUSSING, H. The genesis of the abstract group concept. Mineola (New York), Dover, 2007.