Visualizaciones y notas históricas relacionadas con la curva y = 1/x

Referencias

Akman, F. (2002).Proofs without words under the magic curve.The College Mathematics Journal, 33(1), pp. 42-46. Apostol, T.M. ;Mamikon, A. M. (2002-a).Subtangents. An aidto visual calculus.The American Math.Monthly, 109(6), pp. 525-533. Apostol, T.M. ;Mamikon, A. M. (2002-b). Tangents and subtangentsused to calculate areas. The American Math.Monthly, 109(10), pp. 900-907. Burn, B. (2000).Gregory of St Vincent and the Rectangular Hyperbola.The mathematical gazette, 84(501), pp. 480-485. Burn, R.P. (2001).Alphonse Antonio de Sarasa and Logarithms.HistoriaMathematica, 28, pp. 1-17. Debnath, L. (2015).A brief history of the most remarkable numbers e, I and ¥ in mathematical sciences with applications.Int. J. Math. Educ. Sci. Technol., 46(6), pp. 853-878. Dhombres, J. (1993). Is one proof enough? Travels with a Mathematician of the Baroque Period.Educational Studies in Mathematics, 24(4), pp. 401-419. Ely, J. (1996). A visual proof that ln(𝑎 ∙ 𝑏) = 𝑙𝑛𝑎 + 𝑙𝑛𝑏. The College Mathematics Journal, 27(4), p. 304. Finkelstein, M. (1987).𝑙𝑛2 = 1 − 1/2 + 1/3 − 1/4 + ⋯(proof by exhaustion). American Mathematical Monthly, 94(6), pp. 541-542. Ghatage, P. (2003). A simple introduction to e.The College Mathematics Journal, 34(4), pp. 323-324. González, P. M. (2004) La historia de las matemáticas como recursodidáctico e instrumento para enriquecer culturalmente su enseñanza. Sumanº 45, pp. 17-28. Guzmán, M. (1996). El rincón de la pizarra: ensayos de visualización en análisis matemático.Madrid:Pirámide. Hudelson, M. (2010).Proof Without Words: The Alternating Harmonic Series Sums to ln 2 .Mathematics Magazine, 83(4), p. 294. Martínez, F. (2009). La recta tangente: notas históricas y actividades en el aula. Suma, nº 61, pp. 7-15. Martínez, F. (2014).Recursos para el cálculo visual de integrales. Educación Matemática,26(1), pp. 153-169. Martínez, F. (2016). Visualizaciones geométricas. Suma, nº 83, pp. 65-71. Martínez, F.;Vinuesa, C. (2002) A graphic study of the properties of real-valued functions of two variables. Int. J. Math. Educ. Sci. Technol.33(5), 733-739. Nelsen, R.B. (1991). Proof Without Words: Sums of reciprocals of triangular numbers.Mathematics Magazine, 64(3), p. 167. Nelsen, R.B. (2000). Proofs without words II. MAA press, USA Nelsen, R.B. (2015). Cameos for Calculus.Visualization in the first-year Calculus.MAA press, USA. Perkins, D. (2012). Calculus and its origins. MAA, USA. Plaza, A. (2010).Proof Without Words: Mengoli’s Series.Mathematics Magazine, 83(2), p. 140. Stedal, J. (2003). A discourse concerning Algebra. Oxford University Press. Stein, A. and Mcgavran, D. (1998).Proof of a common limit.The College Mathematics Journal, 29(2), p. 147. Young, R. (1992). Excursions in Calculus: An Interplay of the Continuous and the Discrete. MAA, USA.