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A Letter to the Right Honourable George, Earl of Macclesfield, President of the Royal Society, as to the Advantage of taking the Mean of a Number of Observations in Practical Astronomy - [""A MILESTONE IN STATISTICAL INFERENCE, AS WELL AS THE EARLIEST FORMAL TREATMENT OF ANY DATA-PROCESSING PRACTICE""]
(London, L. Davis, 1756). 4to. In recent marbled wrappers. In ""Philosophical Transactions"", Volume 49, 1755. All leaves reinforced in margin. Fine and clean. (14) [Leaves of contents to to vol. 49] Pp. 82-93
First edition of Simpson’s landmark paper: ""a milestone in statistical inference, as well as the earliest formal treatment of any data-processing practice"" (Hook & Norman, Origins of Cyberspace). “Simpson was the first to attempt a mathematical proof of the law of large numbers" i.e., that the mean result of several observations is nearer to the truth than any single observations. A key feature of the paper was that Simpson chose to focus “not on the observations themselves . . . but on the error made in the observations, on the differences between the recorded observations and the actual position of the body being observed. . . [This] was the critical step that was to open the door to an applicable quantification of uncertainty” (Stigler 1986, 90-91). “Simpson was the first to characterize the errors in observations as independent events, taking positive and negative values with equal probabilities, and the first to provide a mathematical expression for the probability that the error in the mean result will lie between assigned limits” (Origins of Cyberspace, no 16.) Hook and Norman, Origins of Cyberspace, no. 16
The doctrine and application of fluxions. Containing (desides what is common on the subjects) a numbers of new improvements in the theory. And the solution of a variety of new, and very interesting, problems in different branches of the mathematicks.
London, John Nourse, 1776. 2 tomes reliés en 1 vol. in-8 de XI-[1]-274-[4]-302p. chiffrées de 275 à 576, demi-veau beige à coins, dos lisse orné de filets dorés, semis de fleurons à froid, pièces de titre et tomaison brune (épidermées). Reliure XIXe, intérieur très frais.
Illustré de très nombreux schémas in-texte. Thomas Simpson (1710-1761) fut un mathématicien anglais autodidacte. Son nom demeure attaché aux formules trigonométriques de factorisation et à une méthode pour l'évaluation approchée des aires planes. Il fut un ardent défenseur des théories d'analyse de son compatriote Isaac Newton. La «fluxion», terme employé par Isaac Newton pour parler de la dérivation d'une fonction continue, était un sujet maîtrisé par seulement quelques mathématiciens à cette époque. The Doctrine and Application of Fluxions est d’ailleurs considéré comme l’un des meilleurs ouvrages sur le sujet.
LE GITAN D'AMERIQUE.
BELFOND.. 1994.. In-8. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 505 pages. 1ère de couverture illustrée en couleurs.. . . . Classification Dewey : 810-Littérature américaine
Traduit de l'américain par Dominique Rinaudo. Classification Dewey : 810-Littérature américaine
