8vo, pp. [iv], 56; a good copy in contemporary plain interim wrappers, a little rubbed in places.
US $644 €578
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Nouvelle formule pour trouver la hauteur des lieux par celles du baromètre et du thermomètre, avec laquelle on détermine, pour la première fois, le degré du thermomètre centigrade où le froid est absolu.
First edition of a rare and neglected work of thermodynamics, in which Duvillard presents his own calculation of absolute zero, some twenty years before Lord Kelvin’s work on the subject. He calculates the temperature as -266⅔ ºC; today 0 K is calculated as -273.15ºC.
Born in Geneva of an ancient Huguenot family, Duvillard (1755–1832) was head of the statistical department of population in the office of the French Ministry of the Interior and is known today for his tables of mortality (included in Analyse et Tableaux de l’influence de la petite vérole sur la mortalité à chaque age, 1826) which were long used in France, and for his important Recherches sur les Rentes, les Emprunts et les Remboursemens (1787), one of the earliest works to use differential calculus in economic analysis. A short autobiographical piece is appended at the end of the present work.
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First edition of the first of two parts of Schröder’s Abriss, edited by E. Müller and published posthumously in 1909 and 1910. Committed to the reform and development of logic, Schröder debuted in this field with a fundamental revision of Boole’s logic of classes, which emphasized the notion of the duality in logical multiplication and logical addition introduced by W. S. Jevons in 1864. ‘Although Jevons and Frege complained of what they saw as the “mysterious” relationship between numerical algebra and logic in Boole, Schröder announced with great clarity: “There is certainly a contrast of the objects of the two operations. They are totally different. In arithmetic, letters are numbers, but here, they are arbitrary concepts.” He also used the phrase “mathematical logic”’ (Encyclopaedia Britannica). Schröder’s declared aim in the field of logic was to facilitate the exact manipulation of relative concepts, and pave the way for a scientific ‘universal language’ built on signs rather than sounds.
Fascetto di pratiche matematiche spiegato alle persone popolari per uso del commercio umano, e civile, in questa seconda edizione corretto ed accresciuto di altre molte importanti notizie.
Much enlarged second edition of a rare work on applied mathematics (the first edition, 1754, only amounted to xii + 255 and two plates). Commercial arithmetic is one of the three main fields with which the author engages: business, trade and currency exchange examples prevail in the 82 practical illustrations of problems, with the significant new addition of a section devoted to the rule of three applied to companies. A second major area treated, and much amplified in this edition, is the construction of sundials of various kinds, illustrated with plates. The third field of interest is measurements: of lengths, weights and volumes, with an interesting chapter on the measurement of metal coins through water displacement.