História da disciplina álgebra linear: primeiras aproximações

Referencias

Aydin, S. (2013). Some analysis on a first course in linear algebra.Turkish Online Journal of Science & Technology, 3(1), 139-144. Aydin, S. (2009). The factors effecting teaching Linear Algebra.Procedia-Social and Behavioral Sciences, 1(1), 1549-1553. Banach, S.(1932). Théorie des opérations linéaires. Warszawa: Z Subwencji funduszu kultury Narodowej. Bebiano, N. (1998). The development of Linear Algebra In Portugal. IMAGE, 21, 3-5. Bini, D. A. (2012). Linear Algebra in Italy: Before and after computers. IMAGE, 49, 11-16. Birkhoff, G. (1989). Mathematics at Harvard, 1836–1944.In: P.L. Duren, R. Askey & U. C. Merzbach(Eds).A century of mathematics in America. Part II. (pp.3-58).American Mathematical Society. Birkhoff, G. & Maclane, S. (1992). A survey of modern algebra: The fiftieth anniversary of its publication.Mathematical Intelligencer, 14(1), 26-31. Carroll, L. (1867).An Elementary Treatise on Determinants: With Their Application to Simultaneous Linear Equations and Algebraical Geometry. London: Macmillan. Ciliberto, C. (1995).Italian algebraic geometry between the two world wars. Kingston, Ontário: Queen's University. Chrystal, G. (1886). Algebra: An elementary text-book for the higher classes of secondary schools and for colleges. Edimburgh: Adam and Charles Black. Corry, L. (1991). Estructuras algebraicas y textos algebraicos del siglo XIX.Llull: Revista de la Sociedad Española de Historia de las Ciencias y de las Técnicas, 14(26), 7-30. Corry, L.(2012). Modern algebra and the Rise of Mathematical Structures. Basel-Boston-Berlim: Birkhäuser-Verlag. Cowen, C. C. (1997). On the centrality of linear algebra in the curriculum. Disponível em: . D’Ambrosio, U. (1988). Reminiscências do meu tempo de estudante na Maria Antônia,”.In Santos, M. C. L. dos.Maria Antonia, uma rua na contramão. Studio Nobel. Day, J. M & Kalman, D. (1999). Teaching linear algebra: What are the questions.Department of Mathematics at American University in Washington DC, p. 1-16. Dorier, J. (2002). On the Teaching of Linear Algebra.Mathematics Education Library. Netherlands: Springer. Dorier, J. (2003) Teaching linear algebra at university.arXiv preprint math/0305018. Dostor, G. (1877). Éléments de la théorie des determinants. Paris: Gauthier-Villars. Drmac, Z. (2012). Linear Algebra in Croatia: Spiritus movens and curious events. IMAGE, 49, 6-10. Ewing, J. H. & Gehring, F. W. (Eds.). (2012).Paul Halmos celebrating 50 years of mathematics. Springer Science & Business Media. Fan, K. (1992). Some aspects of the development of linear algebra in the last sixty years.Linear algebra and its applications, 162, 15-22. González, M. P. (2009). Evolución Cognitiva del Concepto de Espacio Vectorial. (Tesis de doctorado no publicada). Centro de Investigación en Ciencia Aplicada y Tecnología Avanzada del IPN. México. Gracia, J. M. & Hernández, V. (1992). Linear Algebra in Spain.IMAGE, 8, 6-8. Grande, A. L. (2006). O conceito de independência e dependência linear e os registros de representação semiótica nos livros didáticos de Álgebra Linear. (Dissertação deMestrado em Educação Matemática). Pontifícia Universidade Católica, São Paulo. Halmos, P. R. (1970). Finite-dimensional Hilbert spaces.The American Mathematical Monthly, 77(5), 457-464. Halmos, P. R. (1988). Some books of auld lang syne.In: Duren, P. L.,R. Askey &U. C. Merzbach (Eds.).A century of mathematics in America. Part I (pp.131-174). American Mathematical Soc. Press. Harel, G. (1987). Variations in linear algebra content presentations.For the learning of mathematics, 7(3), 29-32. Julia, G. (1938). Introduction mathématique aux théories quantiques. Paris: Gauthier-Villars. Julia, G. (1927). Cours de cinématique. Paris:Gauthier-Villars. Kac, M.1943).Review:PaulR.Halmos,Finitedimensionalvectorspaces.Bull.Amer.Math.Soc.49(5),349-350. Klapsinou, A. & Gray, E. (s.d.). Definitions and Processes: two Contrasting Approaches to the teaching And Learning Of Linear Algebra. Disponível em:. Klapsinou, A. & Gray, E. (1999). The intricate balance between abstract and concrete in linear algebra. In:PME CONFERENCE. p. 3-153. Kleiner, I. (2007).A History of Abstract Algebra. New York: Springer Science & Business Media. Konyalioğlu, A. C., İpek, A. S. & Işik, A. (2003). On the teaching linear algebra at the university level: the role of visualization in the teaching vector spaces.Journal of the Korea Society of Mathematical Education. Series D: Research in Mathematical Education, 7(1), 59-67. Li, C., Tsing, N. (1996). Linear Algebra in Hong-Kong. IMAGE,17, 14-16. Lima, E.L. (1996). Algebra Linear.(2ª. ed.). Rio de Janeiro: IMPA.Mansion, P. (1883).Éléments de la théorie des déterminants avec de nombreux exercices. Paris: Gauthier-Villars. Moore, G. H. (1995). The axiomatization of linear algebra: 1875-1940. Historia Mathematica, 22(3), 262-303. Rajabalipour, M. & Radjavi, H. (2009). Linear Algebra in Iran. IMAGE, v. 42, 20-21. Soto, R. L. (2014). The Development of Linear Algebra Research in Chile. IMAGE, 53, 13-16. Tomei, C.(1999). Dois semestres de algebra linear básica. Anais do XXII Congresso Nacional de Matemática Aplicada e Computacional. Santos Tucker, A. (1993). The Growing Importance of Linear Algebra in Undergraduate Mathematics.College Mathematics Journal, 24(1), 3-9. Uhlig, F. (2002). The role of proof in comprehending and teaching elementary linear algebra.Educational Studies in Mathematics, 50(3), 335-346. Ulus, A.Y. (2013). Teaching the diagonalization concept in linear algebra with technology: a case study at galatasaray university.TOJET: The Turkish Online Journal of Educational Technology, 12(1). Van der Waerden, B. L. (1975). On the sources of my book Moderne Algebra.Historia mathematica, 2(1), 31-40. Von Neumann, J.(1932). Mathematische grundlagen der quantenmechanik. Berlin: Verlag von Julius Springer. Weld, L.G. (1893) A short course in the theory of determinants.New York: Macmillan.