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Leonardo da Pisa, perhaps better known as Fibonacci (ca. 1170 - ca. 1240), selected the most useful parts of Greco-Arabic geometry for the book known as De practica geometrie. Beginning with the definitions and constructions found early on in Euclid's Elements, Fibonacci instructed his reader how to compute with Pisan units of measure, find square and cube roots, determine dimensions of both rectilinear and curved surfaces and solids, work with tables for indirect measurement, and perhaps finally fire the imagination of builders with analyses of pentagons and decagons. His work exceeded what readers would expect for the topic. Practical Geometry is the name of the craft for medieval landmeasurers, otherwise known as surveyors in modern times. Fibonacci wrote De practica geometrie for these artisans, a fitting complement to Liber abbaci. He had been at work on the geometry project for some time when a friend encouraged him to complete the task, which he did, going beyond the merely practical, as he remarked, "Some parts are presented according to geometric demonstrations, other parts in dimensions after a lay fashion, with which they wish to engage according to the more common practice." This translation offers a reconstruction of De practica geometrie as the author judges Fibonacci wrote it. In order to appreciate what Fibonacci created, the author considers his command of Arabic, his schooling, and the resources available to him. To these are added the authors own views on translation and remarks about early Renaissance Italian translations. A bibliography of primary and secondary resources follows the translation, completed by an index of names and special words
Monografía
monografia Rebiun08071720 https://catalogo.rebiun.org/rebiun/record/Rebiun08071720 cr nn 008mamaa 100301s2008 xxu| s |||| 0|eng d 9780387729312 978-0-387-72931-2 10.1007/978-0-387-72931-2 doi UPVA 996877335203706 UAM 991007838999404211 CUNEF 991000429211608131 CBUC 991004876892106711 CBUC 991010403464306709 UR0292104 PBX bicssc MAT015000 bisacsh Hughes, Barnabas Fibonacci's De Practica Geometrie Recurso electrónico] edited by Barnabas Hughes New York, NY Springer New York 2008 New York, NY New York, NY Springer New York digital Sources and Studies in the History of Mathematics and Physical Sciences Preface -- Background -- Prologue and Introduction of De Practica Geometrie -- Commentary -- Text -- Areas of Rectangular Fields -- Commentary -- Text -- Roots of Numbers -- Commentary -- Text -- Measuring Fields -- Commentary -- Text -- Division of Fields -- Commentary -- Text -- Cube Roots -- Commentary -- Text -- Measuring Bodies -- Commentary -- Text -- Measuring Heights -- Commentary -- Text -- Measuring Pentagons and Decagons -- Commentary -- Text -- Appendix -- Commentary -- Text -- Bibliography -- Index Acceso restringido a miembros de la UGR Leonardo da Pisa, perhaps better known as Fibonacci (ca. 1170 - ca. 1240), selected the most useful parts of Greco-Arabic geometry for the book known as De practica geometrie. Beginning with the definitions and constructions found early on in Euclid's Elements, Fibonacci instructed his reader how to compute with Pisan units of measure, find square and cube roots, determine dimensions of both rectilinear and curved surfaces and solids, work with tables for indirect measurement, and perhaps finally fire the imagination of builders with analyses of pentagons and decagons. His work exceeded what readers would expect for the topic. Practical Geometry is the name of the craft for medieval landmeasurers, otherwise known as surveyors in modern times. Fibonacci wrote De practica geometrie for these artisans, a fitting complement to Liber abbaci. He had been at work on the geometry project for some time when a friend encouraged him to complete the task, which he did, going beyond the merely practical, as he remarked, "Some parts are presented according to geometric demonstrations, other parts in dimensions after a lay fashion, with which they wish to engage according to the more common practice." This translation offers a reconstruction of De practica geometrie as the author judges Fibonacci wrote it. In order to appreciate what Fibonacci created, the author considers his command of Arabic, his schooling, and the resources available to him. To these are added the authors own views on translation and remarks about early Renaissance Italian translations. A bibliography of primary and secondary resources follows the translation, completed by an index of names and special words Mathematics Geometry Mathematics_$xHistory Mathematics History of Mathematics Geometry SpringerLink (Online service) SpringerLink ebooks (Servicio en línea) Springer eBooks Springer eBooks Printed edition 9780387729305 Sources and Studies in the History of Mathematics and Physical Sciences