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Appunti di storia dei logaritmi. VI: La svolta euleriana
No full textIn this paper, that closes the series of papers devoted to the
history of logarithms, I outline the main contributions given by Euler.
In particular, I examine his theory of logarithms of negative numbers
that brilliantly solved, by the mid 1700s, a controversy, raised some
forty years earlier between Leibniz and Johann Bernoulli. In the last
section of this paper, a sort of divertissement, I follow the funny
history of a result of Mengoli’s that reappeared now and again -
although no one aknlowledged its author - and that is related to the
Euler-Mascheroni constant
Pascal e la nascita del calcolo delle probabilità
No full textLa corrispondenza che Fermal e Pascal tennero nel 1654 su problemi relativi a giochi d'azzardo è presa come atto di nascita dello studio matematico della probabilità. In questa nota esamino il contenuto della corrispondenza ed i passi del "Traité du Triangle Arithmétique" nei quali Pascal risolse in forma chiusa il problema della ripartizione della posta tra due giocatori. Infine, accennerò al problema della rovina del giocatore ed alla ``scommessa'', presentata nei "Pensieri"
Non omnis moriar! L'eredita` matematica di Evariste Galois (inizio)
No full textIn this paper, I review the most relevant episodes in Galois's lifeat the light of the historical context, and his scientific activity viewed in the framework of the mathematical literature of the tim
Appunti di Storia dei logaritmi. V: Logaritmi e serie
No full textWe examine some connections between logarithms and
series, focussing our attention on two aspects: the use of series to
define logarithms by Mengoli and the work on the expansion of
(1 + ) by Nicolaus Mercator, John Wallis, and James Gregory
Appunti di storia dei logaritmi. II: I logaritmi di Nepero
No full textIn this paper, we examine the structure of Napier's logarithms by analysing his main work on the subject, the Mirifici Logarithmorum Canonis Constructio, published poshumously in 1619. We prove the main results by following the original arguments of Napier. Finally, we analyse Napier's logarithmic tables as well as the sources of the radix method, later developed by Briggs
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