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Dilucidando π. Irracionalidad, trascendencia y cuadratura del cÃrculo en Johann Heinrich Lambert (1728--1777)
Paperback
ISBN13: 9781848903593
Publisher: Kings College Pubn
Published: Jan 28 2021
Pages: 246
Weight: 0.77
Height: 0.52 Width: 6.14 Depth: 9.21
Language: Spanish
El número π es uno de los números más conocidos a nivel popular. Una de las caracterÃsticas que más se suele poner de relieve es su irracionalidad, pero es difÃcil encontrar fuentes en las que, aún siendo de manera resumida, expliquen la demostración original de este hecho, demostración llevada a cabo por primera vez por J. H. Lambert en Mémoires sur quelques propriétés remarquables des quantités transcendantes, circulaires et logarithmiques (1761/1768). La mayorÃa echan mano de demostraciones más sencillas como la de Legendre o la de Niven, pero en ningún caso explican la demostración original ni los pasos que da el autor en las demás páginas de su artÃculo, entre los que encontramos por ejemplo la primera distinción moderna entre irracionales algebraicos y trascendentes.
El interés suscitado por el problema de la cuadratura del cÃrculo, por otro lado, es milenario, y Lambert en Vorläufige Kenntnisse für die, so die Quadratur und Rektifikation des Cirkuls suchen (1766/1770) aborda el tema de manera divulgativa y sin entrar en demasiados tecnicismos, pero dejando clara la pérdida de tiempo que supone para el que lo intenta. Lambert, una persona poco propensa al quedar bien, es directo y sarcástico, con lo que leer el texto es en algunos aspectos como leerlo a él.
Esta publicación es una unión entre técnica y divulgación, y en lo que a los propios textos de Lambert se refiere, la primera en presentar su traducción anotada (la primera del francés y la segunda del alemán). A mayores, este libro permitirá dar a conocer mejor al propio Lambert a través de un estudio biográfico debidamente contextualizado, un cientÃfico que a pesar de haber realizado investigaciones clave en ramas como la fÃsica, la cosmologÃa, la filosofÃa, la lógica o las matemáticas, ha quedado en un segundo plano en relación a otros dieciochistas.
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