Download PDF by I. R. Shafarevich (editor), V.I. Danilov, V.V. Shokurov: Algebraic geometry 01 Algebraic curves, algebraic manifolds

By I. R. Shafarevich (editor), V.I. Danilov, V.V. Shokurov

ISBN-10: 3540519955

ISBN-13: 9783540519959

"... To sum up, this publication is helping to profit algebraic geometry very quickly, its concrete kind is agreeable for college kids and divulges the wonderful thing about mathematics." --Acta Scientiarum Mathematicarum

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Additional info for Algebraic geometry 01 Algebraic curves, algebraic manifolds and schemes

Sample text

The number of soldi is always half the upper number appearing in the third left place, or 2. And the number of deniers is found by multiply the number the 4 above the 6 in the third place by the lower 6 in the fourth place and adding the number above it (here zero) to get 24. The verbal answer is 4 staria, 2 soldi, and 24 deniers. He closed Part 1 of Chapter 1 with the advice that if you could not reduced inches to sixths of sixths, then forget them and compute with ordinary fractions. Part II is quite theoretical, offering a Euclidean framework onto which one may base any practical work in measurement.

With this background, I offer my evaluation: despite textual weaknesses at hand, we can conclude that Fibonacci provided the surveyors of his day with many useful propositions and tools. The outstanding value of this work for both practioner and theoretician arises from his compiling those treatises he considered as among the best mathematics in the Greco–Arabic world. Prologue and Introduction COMMENTARY The treatise begins in epistolary fashion addressed to Leonardo’s friend, Dominic,1 apparently a Spanish cleric who had introduced him to Frederick II.

And if one rod or several rods are multiplied by panes, or panes in several rods, whatever arises from the multiplication are panes. For example, three rods multiplied by nine panes or nine panes by three {p. 4} rods make 27 panes. And thus it must be understood about the multiplication of rods by scale, staria, and modiora, or of the multiplication of scalas, staria, and modiora by rods. Again, feet multiplied by rods or rods by feet are feet or halves of solda. For example: three feet multiplied by nine rods or nine rods by three feet are 27 feet, that is, 13 solda and 14 of a measure.

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Algebraic geometry 01 Algebraic curves, algebraic manifolds and schemes by I. R. Shafarevich (editor), V.I. Danilov, V.V. Shokurov

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