fran marino (5 risultati)

Soft cover. Condizione: Very Good. art James J. Friel (illustratore).

Condizione: New.

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Libro en buen estado, puede presentar algunas marcas de desgaste por el uso. Libro de 2ª mano verificado y vendido por el emprendimiento social El Club de los Raros. Con cada compra estás ayudando a plantar árboles, financiar ONGs y proyectos culturales.

First edition. THE COPY OF KENELM DIGBY - THE BIRTH OF ANALYTIC GEOMETRY. First edition, extremely rare, and a magnificent copy from the library of Kenelm Digby, of the most important work of the great Croatian mathematician Marino Ghetaldi (or Marin Getaldi?) who, while he did not introduce coordinates, is regarded by many scholars, on the basis of the present work, as the founder of analytic geometry ? Descartes? G?om?trie was not published until seven years later. De resolutione is the first comprehensive work devoted to the application of the methods of symbolic algebra introduced in Fran?ois Vi?te?s epoch-making In artem analyticam isagoge (1591) (a work of only 9 pages). ?The final stage in the embryonic evolution of analytic geometry was to transfer the purpose of Vi?te?s analysis away from geometrical constructions to the solution of algebraic equations, and towards the application of the already well-known algebraic techniques to the solution of geometrical problems. This transformation was first effected by Vi?te?s contemporary and one-time pupil Marino Ghetaldi, in his posthumously published De resolutione et compositione mathematica (Rome, 1630). Here, the status of symbolic algebra was raised from a ?means to an end? to a method in its own right, with a wider scope and application than it had hitherto possessed ? Ghetaldi has been hailed by various mathematicians as the father of analytic geometry ? perhaps an acceptable compromise is to regard this science as having been conceived jointly by both of them ? One might tentatively date the moment of conception as Ghetaldi?s first meetings with Vi?te in Paris, and the time of birth as shortly before [Ghetaldi?s] death when he is known to have composed this treatise ? two things follow from the proposed interpretation of the birth of analytic geometry: one is that it did not require the adoption of the coordinate principle; and the other is that it occurred prior to the publication of Descartes? G?om?trie? (Forbes, pp. 147-8). ?Getaldi??s mathematical works can be divided into two essentially different groups. The first group consists of the five works published while he was alive, the second consists of the posthumously published work [De resolutione]. In the first group of works, Getaldi? solved geometrical problems by Greek methods, while in the last mentioned work he used algebraic analysis? (Dadi? 1984, p. 208). De resolutione is divided into five books, the last being the most important. The third chapter in the fifth book deals with algebraic problems with infinitely many solutions, which Ghetaldi calls ?Problemata Vana et Nugatoria? Of these, the solution to the fourth problem is represented by a point which traces out a hyperbola when a certain length is varied; in the fifth problem a similar construction leads to an ellipse. These are regarded as the first descriptions of curves by means of algebraic equations. ?Due to the fact that Getaldi? came very close to the realization that all points that satisfy an indeterminate problem are on some curve, ? [it] was argued that Getaldi?, through his major work, indirectly participated in the preparation and creation of the synthesis of the arithmetic continuum of numbers and the geometric continuum of points, realized in Descartes? analytical geometry, on the basis of which infinitesimal analysis later developed? (Bori?, pp. 69-70). Ghetaldi met and corresponded with the Jesuit mathematicians Christopher Clavius, Christopher Grienberger and Paul Guldin, and also with Galileo, whose influence can be seen in Ghetaldi?s use in the present work of the terms analysis (resolutio) and synthesis (compositio), rather than Vi?te?s exegetics, poristics and zetetics. ABPC/RBH list only the Macclesfield copy in the last 35 years, and only one copy in the quarter-century before that. OCLC lists Brown, Columbia, Huntington, Kansas, Temple, and Yale in the US. Provenance: Sir Kenelm Digby (1603-65), philosopher (gilt arms on covers and his wife Venetia?s cypher ?KVD? on spine). The arms are the second of the four types listed on British Armorial Bindings. ?Digby?s books are often readily recognisable from the various manifestations of his arms or monogram found on the boards or spine; he used 4 versions of his arms, two monogram stamps (one KD, one KDV adding V for his wife Venetia), and a fleur-de-lys in two sizes? (Bookowners Online). Ghetaldi (1568-1626) was born to an old aristocratic Dubrovnik family originally from Taranto, Italy. After graduating from the Gymnasium, probably in 1588, he held various public positions, but found the atmosphere in Dubrovnik not conducive to his mathematical studies. He therefore embarked on a tour of Western Europe, arriving in Rome some time between 1594 and 1598, where he met Clavius and Grienberger. After two years spent in England, he arrived in Paris in February 1600, where he met and began his collaboration with Vi?te. As Ghetaldi wrote in a letter to the Belgian mathematician Michel Coignet, it was Vi?te who was most responsible for his development as a mathematician. Vi?tein turn must have appreciated Ghetaldi, both as a mathematician and as a friend, because he gave him transcripts of some of his unpublished works, and even allowed him to edit his work De numerosa potestatum resolutione (Paris, 1600). In 1600, Ghetaldi moved to Padua, where he became a member of Galileo?s circle; he became known to its members as the ?demon of mathematics? Here he was particularly influenced by Giovanni Vincentio Pinelli and Paolo Sarpi. In October 1602, Ghetaldi was back in Rome, where he associated with Luca Valerio, but in 1603 he was forced to return to Dubrovnik, with a ban on returning to Rome (probably because of a duel). Ghetaldi?s first two published works, which appeared at Rome in 1603, were Promotus Archimedes seu de variis corporum generibus gravitate et magnitudine comparatis, which deals with problems of specific gravity, and Nonnullae propositiones de parabola,