Other Papers

EXPOSITORY PAPERS

DOBBLE: un proyecto STEMBach basado en la Geometría Proyectiva (in spanish), Suma 106, (2024), 19-30 (with S. Civeira Corral, C. Ferreiro García e I. González Álvarez-Ron).

El discreto encanto de la raíz cuadrada (in spanish), Revista de Educación Matemática (Unión Matemática Argentina) Volumen 38, Nº 2 (2023), pp. 16-27 (with P. Amster).

Irregular discontinuous functions: when Algebra met Analysis, Materials Matemàtics vol. 2022, no. 3, pp. 14, 2022 (with F. Adrián F. Tojo)

Escalas musicales, números irracionales y sistemas dinámicos (in spanish), La Gaceta de la RSME, Vol. 25 (2022), Núm. 2, Págs. 283-297.

Does Lipschitz with respect to x imply uniqueness for the differential equation y'=f(x,y)?, Amer. Math. Monthly, 116 (2009), 61–66, (with R. L. Pouso).

Addendum appeared in the Editor's Endnotes section of the Monthly 117, 8 , October 2010.

There exists a Chinese translation in Mathematical Advance in Translation, 2 (2010) 135-138, a translated journal sponsored by the Academy of Mathematics and Systems Science (Chinese Academy of Sciences).

CLASSROOM NOTES

A ring theoretic approach to the double sidedness of the matrix inverse, Elemente der Mathematik 79 (2024), 30-33 (with J. M. Almira).
An excursion through the double sidedness of the matrix inverse, The College Mathematics Journal, 1 (2021), 54–56.
Classroom Note: A simple method to find out when an ordinary differential equation is separable, Internat. J. Math. Ed. Sci. Tech., 40, 5, (2009), 659–662.

HISTORY OF MATHEMATICS

When did Hermann Weyl pass away?, British Journal for the History of Mathematics 34, 1, (2019), 60–63, DOI:10.1080/17498430.2018.1555926 (with J. M. Almira and J. Ostalé).

This note has been included in the list of references corresponding to Weyl's biography in the MacTutor.

It has been also included in the list "Notable writings" (p. 213) of the book Mircea Pitici (Editor), The best writing on mathematics 2020, Princeton University Press, 2020.

MATHBITS

Miniatura Matemática: $F_8=3x7$ implica la infinitud de los primos (in spanish), La Gaceta de la RSME 24, nº 3, (2021), p. 484.
Miniatura Matemática: Una Figura, Dos Identidades, ¡Seis Teoremas! (in spanish), La Gaceta de la RSME 20, nº 2, (2017), p. 398.
Proof Without Words: An identity for a recurrence satisfied by the Fibonacci and Lucas numbers, Math. Mag 89 (2016), p. 262.
A difference equation leading to the irrationality of $\sqrt{2}$, Amer. Math. Monthly Vol. 121, No. 5 (2014), p. 443. You can see interesting fillers (and many other things) following the Monthly on Facebook.

CONFERENCES

¿Hay magia en las matemáticas? (in spanish), impartida en el curso de verano de la UNED "Mates por todas partes", Logroño, 30/06/2017.

Grado topológico y ecuaciones diferenciales (in spanish), Santiago de Compostela, 18/02/2010.

Presentation (Beamer)

Article

SOFTWARE

In the following paper we describe a Mathematica program to compute the Green's function for a n-order linear differential equation coupled with linear boundary conditions:

Alberto Cabada, José Ángel Cid and Beatriz Máquez-Villamarín, Computation of Green's functions for Boundary Value Problems with Mathematica, Appl. Math. Comput. 219 (2012) 1919–1936;

You can download the program GFC (Green's Function Computation) described in the above paper, together with a tutorial, at the Wolfram Library Archive. You can see also:

Alberto Cabada, José Ángel Cid and Beatriz Máquez-Villamarín,"Green's Function", Wolfram Demonstrations Project, Published: October 3, 2011.

F. Adrián F. Tojo, Alberto Cabada, José Ángel Cid and Beatriz Máquez-Villamarín, Green's Functions with Reflection: This program computes the Green's function of a boundary value problem given by a linear nth-order differential equation with reflection and constant coefficients with any kind of two-point boundary conditions.

MISCELLANEOUS

Solution to Problem 400 (in spanish), La Gaceta de la RSME, Vol. 24.2 (2021), 338-339.
Contradicciones y paradojas (in spanish), published in El Rincón Matemático, Diario Jaén, March 20, 2014.
La aritmética del reloj (in spanish), published in El Rincón Matemático, Diario Jaén, November 07, 2013.
Repartiendo la tarta (in spanish), published in El Rincón Matemático, Diario Jaén, May 23, 2013.
Matrimonios estables (in spanish), published in El Rincón Matemático, Diario Jaén, December 20, 2012.
Rememorando a Alan Turing (in spanish), published in El Rincón Matemático, Diario Jaén, June 7, 2012.
¿Cuál es el mejor sistema electoral? (in spanish), published in El Rincón Matemático, Diario Jaén, March 22, 2012.
¡A jugar! (in spanish), published in El Rincón Matemático, Diario Jaén, January 12, 2012.
Cusasicristales: entre las Matemáticas y la Química (in spanish), published in El Rincón Matemático, Diario Jaén, November 11, 2011.
Las matemáticas del azar (in spanish), published in El Rincón Matemático, Diario Jaén, May 19, 2011.
Matemáticas "made in" Jaén (in spanish), published in El Rincón Matemático, Diario Jaén, March 31, 2011.
FAQ: ¿Por qué 0.999... es igual a 1? (in spanish), published in El Rincón Matemático, Diario Jaén, February 17, 2011.
¿Cuál es el dígito más probable? (in spanish), published in El Rincón Matemático, Diario Jaén, January 20, 2011.
La obra escultórica de Berrocal (in spanish), published in El Rincón Matemático, Diario Jaén, May 27, 2010.
El teorema de Borsuk-Ulam (in spanish), published in El Rincón Matemático, Diario Jaén, April 8, 2010.
La danza celeste (in spanish), published in El Rincón Matemático, Diario Jaén, February 4, 2010.
1729 (Rebautizado por las editoras de la columna como "Mi taxi era el 1729") (in spanish), published in El Rincón Matemático, Diario Jaén, October 10, 2009.
Dalí: surrealismo matemático (in spanish), published in El Rincón Matemático, Diario Jaén, May 21, 2009.
Los átomos de la matemática (in spanish), published in El Rincón Matemático, Diario Jaén, April 23, 2009.
El fascinante número π (in spanish), published in El Rincón Matemático, Diario Jaén, March 12 (published very close to the Pi Day March 14=3/14), 2009.
Matemágicas (in spanish), published in El Rincón Matemático, Diario Jaén, January 8, 2009.
¿Para cuándo el premio Nobel de Matemáticas? (in spanish), published in El Rincón Matemático, Diario Jaén, May 15, 2008.
Solution to Problem 31 (in spanish), La Gaceta de la RSME, Vol. 9.1 (2006), 179-180, (with J. M. Almira).
Review of the book "El reto de Hilbert" by Jeremy J. Gray (in spanish), published in Matemáticas en breve, vol. 4, nº 1, october 2004.

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