• 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.

  • "Retrato de Carlos Fuentes", por Juan Alarcón Ayala


    "Retrato de Carlos Fuentes", por Juan Alarcón Ayala.

    Nuestro autor invitado en esta edición es el escultor, caricaturista e ilustrador Juan Alarcón Ayala, Premio Nacional de Periodismo 2009, colaborador actualmente del periódico El Financiero y de la revista Siempre!; ha sido colaborador del periódico El Universal, del periódico Excélsior (suplemento “El Búho”); de las revistas Despegue, Revista de Revistas, Coatepec, El Güiri-Güiri, Lapiztola, Cómo, Época, Chilango, Kiiol y Playboy.

    Como ilustrador, sus obras han aparecido en las portadas de los libros "La Historia Mundial del Boxeo", y "Cuentos para Melissa".

    Es autor de "La Fauna de Alarcón 1", 2 y 3, libros de caricatura y humor blanco.

    En su labor escultórica figuran el mural-relieve de 26 metros cuadrados en cantera rosa para el edificio del Servicio Médico Forense del D.F., el diseño y la construcción de las marionetas para Hechos de Peluche de Televisión Azteca (creador de los peluches "Marta Asegún", "Memortiz", "Luis Pozos", "George Push", "Bin Laden" y "Chente Fax", entre muchos otros)...

    La Trinchera
    agradece la colaboración del maestro Juan Alarcón Ayala.
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