Titolo: Irrationality, Transcendence and the Circle-Squaring Problem: An Annotated Translation of J. H. Lambert's Vorl�ufige Kenntnisse and M�moire
Editore: Springer
Data di pubblicazione: 2023
Lingua: Inglese
ISBN 10: 3031243641
ISBN 13: 9783031243646
Rilegatura: Brossura
Condizione: New

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Riassunto

This publication includes an unabridged and annotated translation of two works by Johann Heinrich Lambert (1728-1777) written in the 1760s: Vorl�ufige Kenntnisse f�r die, so die Quadratur und Rectification des Circuls suchen and M�moire sur quelques propri�t�s remarquables des quantit�s transcendentes circulaires et logarithmiques. The translations are accompanied by a contextualised study of each of these works and provide an overview of Lambert's contributions, showing both the background and the influence of his work. In addition, by adopting a biographical approach, it allows readers to better get to know the scientist himself.

Lambert was a highly relevant scientist and polymath in his time, admired by the likes of Kant, who despite having made a wide variety of contributions to different branches of knowledge, later faded into an undeserved secondary place with respect to other scientists of the eighteenth century. In mathematics, in particular, he is famous for his research on non-Euclidean geometries, although he is likely best known for having been the first who proved the irrationality of pi. In his M�moire, he conducted one of the first studies on hyperbolic functions, offered a surprisingly rigorous proof of the irrationality of pi, established for the first time the modern distinction between algebraic and transcendental numbers, and based on such distinction, he conjectured the transcendence of pi and therefore the impossibility of squaring the circle.

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