• Matemáticos reconocidos poco conocidos

    Karl Weierstraß
    (1815 - 1897)

    Maestro de Cantor, Runge,  Schwarz  y de toda una generación de matemáticos alemanes, Weierstrass es el responsable de uno de los métodos más efectivos en Cálculo: el método épsilon (nombrado así pues su notación utiliza la letra griega ε). Gracias a este método se pudieron probar varios teoremas fundamentales para el fundamento de la matemática infinitesimal lo que a la postre permitió varios de los desarrollos tecnológicos de la actualidad.

    Nacido en Ostenfelde, Westphalia (ahora parte de Alemania) , en 1828, al establecerse su familia en Paderborn, ingresó al Gimnasio Católico (institución equivalente a la educación media superior) y paso mucho de su tiempo leyendo el Journal of Pure and Applied Mathematics,  que era la revista matemática líder en Europa.  

    Mientras era profesor en el Instituto Industrial de Berlín, Weierstrass desarrollo una de las más grandes ideas matemáticas hasta el momento.  En su “Introducción al Análisis” druante los años 1859-1860, dio al mundo una rigurosa metodología para que los matemáticos trabajaran con la noción de secuencias infinitas o series que alcanzaban un límite. 

    Hasta ese momento, mucho del desarrollo del cálculo Newtoniano se basaba en ideas, nociones que se sabían verdad pero no se habían demostrado rigurosamente. El concepto de “límite infinito” aplicado a variables fijas, como en la expresión “n tiende a infinito” no se sabía realmente su significado formal.  El método épsilon resolvió esto.

    Weierstrass razonó: En lugar de que el límite estuviera definido para n como el proceso de alcanzar el infinito, por qué no definimos una secuencia infinita que tenga un límite si para cualquier épsilon  ε, siempre puedes encontrar un entero n tal que para todos los enteros m>=n, el emésimo término de la secuencia siempre estuviera a ε del límite.

    Entre los conceptos que gracias al método épsilon se pudieron formalizar se encuentran:
    + El concepto de continuidad , pieza clave para el desarrollo de la ciencia
    + El teorema de Weierstraß que trata sobre máximos y mínimos locales, y
    + Teorema de Bolzano-Weierstrass , otra pieza fundamental en la construcción de los ladrillos fundamentales del cálculo: los números Reales.

    Mucho le debe la humanidad a este gigante Alemán de las matemáticas.

  • Nujabes (Ahora mismo ya no se hace música buena, Capítulo 3)

    Da la impresión de que la costumbre que tenían los músicos antes de morir de sobredosis ya ha pasado a la historia, pero no así la de las muertes prematuras. Aunque la verdad es que cualquiera puede palmarla en cualquier momento a la vuelta de la esquina, así que que se le va a hacer.

    El pasado 26 de Febrero nos ha dejado Seba Jun, aka Nujabes en un accidente automovilístico. Es por ello que he decidido dedicar la recomendación de esta quincena a este artista a pesar de que ya tenía decidido irme por otro estilo que no fuese el hip hop.

    No se ha sabido de su muerte hasta estos días debido a que el asunto ha sido llevado con discrección por parte de su famila y tratándose de un músico no famoso la prensa no se ha hecho eco de su muerte prematura con solo 36 años. Para los que no lo conozcan decir que se trataba de un Dj japonés de caracter tímido enmarcado en la corriente de hip hop instrumental, con un estilo muy cerca del jazz contemporáneo.


    A alguno le sorprenderá el hecho de que un músico con un estilismo tan alejado de lo que se supone es el hip hop sea considerado de hip hop pero así es, el hip hop tiene muchas tendencias dentro de sí y dado que su música usa los instrumentos típicos del Dj así como los clásicos beats y recursos raperos y en ella no hay lugares para las improvisaciones instrumentales que definen al jazz su clasficiación no deja lugar a dudas.

    De todas maneras también ha hecho bases para MCs.

    Su música posee además un fuerte sabor exótico japonés que la hace aún mas interesante.

    He buscado alguna canción adecuada para presentar, pues no tiene vídeos, y me he decidido por esta, muy representativa de su estilo y originalidad. Un tema que si bien podría ni sorprender a los aficionados al jazz contemporáneo posee el interés de ser una música adaptable al rap, como demuestra en muchos de sus discos. También es una canción que puede servir para presentarnos su despedida de este mundo:


    Pudeo recomendar su disco Modal Soul, un disco bastante variado que va del rap al jazz y viceversa sin inmutarse, y por supuesto muy bueno, aunque de Nujabes se puede recomendar casi todo.


    Pues eso, que Seba Jun descanse en paz.
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