By Jens Høyrup
This publication offers with one of many earliest surviving "abbacus" treatises, person who is through way more orderly than any of the extant predecessors and can be the 1st to comprise a presentation of algebra. The e-book includes an variation and an English translation of a manuscript from c. 1450. furthermore, it good points an in depth dialogue of the contents of the treatise and its situation inside of early abbacus tradition.
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Additional info for Jacopo da Firenze's Tractatus Algorismi and Early Italian Abbacus Culture (Science Networks. Historical Studies)
Similar slips on fol. 45r, “dr. 1, 21/50 de denaio”, and fol. 134r, “d. 3, 15 /19 de denaio”, “d. 8, 4/19 de denaio”. On fol. 57r and again on fol. 121r, whole schemes are organized accordingly. All of these instances are in problems not borrowed from Fibonacci.  In the end comes a section “De sutile regole de prestiare lib. quante tu vuogle ad usura sopre alchuna chosa”, about giving a loan in a house which the creditor rents (the rent exceeding the interest on the loan and the difference being discounted from the capital); all 12 problems belonging to this section are borrowed from the Liber abbaci [ed.
Single hand, a very neat Gothic bookhand in 1 col[umn] ink-ruled 10 cm. , text on second. Black ink with titles and numerals in red, alternating red/blue decorated initials in margins, initials of each chapter illuminated.  Fols 1r–136v contains the Livero del abbecho (the second part is an Arte dela geometria). The abbacus treatise consists of 31 chapters: Ch. 1, “de le regole de le tre chose” (fols 1r–1v). Introduces the rule of three for integers and the tricks to use when one or more of the given numbers contains fractions.
Are asked for. The last instances of “say me” are in Chapter 15 (one is about the area of a rectangle with known sides, the other asks for √2. The same chapter contains 17 instances of “I want to know”. The Abbacus Tradition In a famous passage from Giovanni Villani’s Florentine Cronica [1823: VI, 184f ] we read concerning the year 1338 that we ﬁnd from the priest who baptized the children (since, for keeping track of their number, for each boy that was baptized in San Giovanni a black bean was put aside, and for each girl a white bean) that they numbered every year by then 5500 to 6000, the boys exceeding the girls by three to ﬁve hundred per year.
Jacopo da Firenze's Tractatus Algorismi and Early Italian Abbacus Culture (Science Networks. Historical Studies) by Jens Høyrup