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Pratica Mercantivol composta e ordenada per en Joan Vãtallol de la Ciutat de Mallorques.
[Lyons:] Jean de la Place, [1521] - Quarto (181 × 127 mm). Recent light brown calf, richly decorated gilt, by Brugalla, spine decorated and lettered gilt, all edges gilt. Slipcase. Erroneous foliation; three leaves with outer and upper margins renewed; discreet marginal restorations to several other leaves without affecting text; a few faint early notes (some cropped). A very good copy. With large woodcut arms on title and several woodcuts in the text. First edition, incredibly rare, of this very early Catalan mercantile arithmetic, with much information drawn from Pacioli's Summa, published just 27 years earlier. "The Majorcan Joan Ventallol published a commercial arithmetic in Catalan in 1521 titled Pràtica mercantívol. Very little is known about this author apart from what can be found in his treatise: that he was from Ciutat de Mallorques (today's Palma de Mallorca) and that he paid the expenses of the publication of his book. The Pràtica mercantívol does not include algebra. Yet Ventallol's familiarity with Luca Pacioli's book is evident in other places, since he turns to the Summa for the 'speculative' part of his own work: theory of numbers, theory of proportions, and results on square numbers. The influence of the Summa can also be seen in the chapters on progressions and roots, and in the introduction of the book. (Javier Docampo Rey, Reading Luca Pacioli's Summa in Catalognia, pp. 44-49). "It is hardly surprising that the most important influences in Catalan treatises on arithmetic of the late medieval and early Renaissance periods came from the French–Provençal area and from Italy The Italian mathematical knowledge would have been transmitted by the many Italian merchants who were established in Catalonia, Valencia, and Majorca and also by Catalan merchants who made long journeys in the Mediterranean and even lived for some time in Italian cities. Almost all the arithmetic books printed in Europe before 1500 were texts on commercial arithmetic Pacioli's Summa was highly influential both inside and outside of Italy. According to F.K.C. Rankin, an anonymous Trattato de aritmetica of the 16th-century contains some chapters that are explicitly attributed to the Summa, while Niccolò Simi Bolognese, a mathematics teacher of the University of Bologna, wrote the Annotazioni sopra l'aritmetica di Fra Luca da Borgo S. Sepolcro in 1544. Both manuscripts contain corrections and explicative notes on Pacioli's most difficult parts, suggesting that their authors used them in their teaching. The Summa was also an important reference work for many other 16th-century algebraists such as Pedro Nuñes, Tartaglia, Cardano, Bombelli, or the Sienese teacher Dionigi Gori, and its influence was also felt in Germany and England The second printed commercial arithmetic in Europe, Francesc Santcliment's Summa de l'art d'Aritmètica, was written in Catalan and published in 1482 in Barcelona. Santcliment's book has clear French–Provençal connections, and the same is the case for Juan de Ortega's commercial arithmetic of 1512. On the other hand, the influence of Luca Pacioli's Summa is especially strong in Juan Andrés' arithmetic (Valencia, 1515) and very important in Gaspar Nicolas' Tratado da prática D'arismétyca (Lisboa, 1519) and Joan Ventallol's Pràtica mercantívol (Lyon, 1521). Vicente L. Salavert Fabiani describes Ventallol's work as 'A very thorough treatise, both from an arithmetical and economical viewpoint. Regarding the second aspect, his considerations of the use of the Venetian ducat as the currency of reference in an international market is to be pointed out [and] his rules of simplification for monetary operations and his table of equivalents is very useful, as it permits the calculation of equivalent values in two or more currencies. Regarding his theoretical postulates Ventallol adopts a critical attitude towards Ortega and Andrés, to whom he refers throughout, showing clearly those aspects in which he differs from his teachers. The interest in Ventallol's m [Attributes: First Edition]
      [Bookseller: Peter Harrington. ABA member]
Last Found On: 2015-06-09           Check availability:      AbeBooks    

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