Fibonacci’s Liber Abaci: A Translation into Modern English of Leonardo Pisano’s Book of CalculationSpringer Science & Business Media, 6 dec 2012 - 638 pagina's First published in 1202, Fibonacci's "Liber abaci" was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. Its author, Leonardo Pisano, known today as Fibonacci, was a citizen of Pisa, an active maritime power, with trading outposts on the Barbary Coast and other points in the Muslim Empire. As a youth Fibonacci was instructed in mathematics in one of these outposts; he continued his study of mathematics while traveling extensively on business and developed contacts with scientists throughout the Mediterranean world. A member of the academic court around the Emperor Frederick II, Leonardo saw clearly the advantages for both commerce and scholarship of the Hindu positional number system and the algebraic methods developed by al-Khwarizmi and other Muslim scientists. Though it is known as an introduction to the Hindu number system and the algorithms of arithmetic that children now learn in grade school, "Liber abaci" is much more: an encyclopaedia of thirteenth-century mathematics, both theoretical and practical. It develops the tools rigorously, establishing them with Euclidean geometric proofs, and then shows how to apply them to all kinds of situations in business and trade - conversion of measures and currency, allocations of profit, computation of interest, alloying of currencies, and so forth. It is rigorous mathematics, well applied, and vividly described. As the first translation into a modern language of the "Liber abaci", this book will be of interest not only to historians of science, but to all mathematicians and mathematics teachers interested in the origins of their methods. |
Inhoudsopgave
Dedication and Prologue | ii |
On the Multiplication of One Figure with Many | xv |
Here Begins the Third Chapter on the Addition of Whole Numbers | xxviii |
A Universal Rule on the Division of Numbers by Numbers of One Place | 9 |
The Division of 780005 by 59 | 50 |
The Division of 81540 by 8190 | 86 |
Checking the Abovewritten Division | 90 |
Here Ends the First Part of the Sixth Chapter | 100 |
On the Same | 113 |
Overige edities - Alles bekijken
Fibonacci’s Liber Abaci: A Translation into Modern English of Leonardo ... Laurence Sigler Gedeeltelijke weergave - 2003 |
Fibonacci’s Liber Abaci: A Translation into Modern English of Leonardo ... Laurence Sigler Fragmentweergave - 2002 |
Veelvoorkomende woorden en zinsdelen
12 denari abovewritten added aforesaid alloy amount apotome apples binomial carobs casting out nines census census census minus cube root divide the product divisor double elchataym equal fifth figure first's bezants first’s denari Florentine rolls four fourth fraction line half horse hundredweight IIII image bezants integrally intermediate sum least sum Leonardo Liber abaci line segment man’s man's bezants man's denari method minus the root minus the thing monies multiply the root number ab number of roots ounces pennyweights Pisan denari Pisan pounds profit proportion proposed purse quotient residue root of 20 rule second man's second number second position second's bezants shown similarly sixth soldi soldo sought number square number subtract sum minus tareni things minus third man's third place third's bezants three numbers trip triple truly unit fraction Whence wish to divide wish to multiply worth write yielding the root zephir