Lot n° 101
Sélection Bibliorare

FERMAT, Pierre De. - DIOPHANTUS ALEXANDRINUS. Diophanti Alexandrini Arithmeticorum libri sex, et de Numeris Multangulis liber unus. Cum Commentariis C. G. Bacheti V. C. et observationibus D. P. de Fermat Senatoris Tolosani. Accessit Doctrinae...

Estimation : Start Price 10 000 €
Description
Analyticae inventum novum, collectum ex varijs eiudem D. de Fermat Epistolis. Toulouse, Bernard Bosc, 1670.
folio, mm. 340x230; Contemporary full calf binding; pp. 12, 64, 341, id est 343, 1, 48. Printer’s mark on the Title-page engraved by Rabault, Head title with the initials of J. B. Colbert, one illustrated initial and many geometric figures in the text. Text in Greek and latin, comments within the text. A stamp on the Title-page of the library extinct.
FIRST VERY RARE ORIGINAL This work is the first that contains the observations of Fermat on the Arithmetica of Diophantus, the first systematic algebraic treatise. This issue is particularly important for the accuracy of the text and the notes and observations of Pierre de Fermat, mathematician of Toulouse, whose name remains linked to the theorem not proven that he took the name.

Boyer: "On a margin of his copy of Diophantus dell'Arithmetica edition edited by Bachet noted to be able to find a truly marvelous demonstration of this famous theorem that, since then, is known as Fermat's last theorem or great Fermat's theorem. Unfortunately, Fermat did not leave us his demonstration, but merely to describe it as a demonstration so long, 'which this margin is too narrow to contain it so that it can' ... ". as for the importance of the figure of Fermat, remember that, as he was not a professional mathematician, in the course of his humanistic studies worked on the reconstruction of the texts Greek mathematicians semi-dispersed, by Apollonius to Pappo, and this led him, before Descartes, to discover the basics analytic geometry and the importance of indeterminate equations. In particular fascinated him the text of Diophantus, and working there on, laid the foundations of modern number theory. Unfortunately it was poorly understood, he remained a "great amateur", and almost all its posthumous works appeared on the initiative of his son Samuel. Loria: "Fermat ... knew with a sure hand draw the basic lines of analytic geometry, created the theory of numbers, has contributed in the most active to the constitution of calculus ... deserves a place in the forefront among the creators of mathematics modern ". Honeyman: "The FIRST EDITION to Contain Fermat's important discoveries on the theory of numbers, the first step in the invention of the differential calculus."

Smith, p. 348; Horblit, n. 316; Norman 777; Kline 274-278; Struik 26-27; Honeyman, n. 393; Singh 1997; Boyer, St. Mathematics, p. 407; Loria, St. Mathematics, pp. 474-493.

Slight traces of use to the ligature, fine specimen.
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