Cargando…

Edmond Halley's Reconstruction of the Lost Book of Apollonius's Conics Translation and Commentary /

Apollonius's Conics was one of the greatest works of advanced mathematics in antiquity.  The work comprised eight books, four of which have come down to us in their original Greek and three in Arabic.  By the time the Arabic translations were produced, the eighth book had already been lost. In...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Fried, Michael N. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Colección:Sources and Studies in the History of Mathematics and Physical Sciences,
Temas:
Acceso en línea:Texto Completo

MARC

LEADER 00000nam a22000005i 4500
001 978-1-4614-0146-9
003 DE-He213
005 20220120222834.0
007 cr nn 008mamaa
008 110901s2012 xxu| s |||| 0|eng d
020 |a 9781461401469  |9 978-1-4614-0146-9 
024 7 |a 10.1007/978-1-4614-0146-9  |2 doi 
050 4 |a QA21-27 
072 7 |a PBX  |2 bicssc 
072 7 |a MAT015000  |2 bisacsh 
072 7 |a PBX  |2 thema 
082 0 4 |a 510.9  |2 23 
100 1 |a Fried, Michael N.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Edmond Halley's Reconstruction of the Lost Book of Apollonius's Conics  |h [electronic resource] :  |b Translation and Commentary /  |c by Michael N. Fried. 
250 |a 1st ed. 2012. 
264 1 |a New York, NY :  |b Springer New York :  |b Imprint: Springer,  |c 2012. 
300 |a X, 134 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Sources and Studies in the History of Mathematics and Physical Sciences,  |x 2196-8829 
505 0 |a I. Introduction -- 1. Edmond Halley: Ancient and Modern -- 2. Apollonius's Conics -- 3. The Path to Halley -- 4. Halley's General Strategy for Reconstructing Conics, Book VIII -- 5. Halley's Dialogue with the Past.-6. A Note on the Translation-II. Apollonius of Perga's On Conics: Book Eight Restored -- III.Synopsis and Appendices.-Synopsis of the Contents of Halley's Conics, Book VIII.-Appendix 1: Terminology and Notions from Greek Mathematics.-Appendix 2: Hippocrates' First Quadrature of a Lune.-References.-Index. 
520 |a Apollonius's Conics was one of the greatest works of advanced mathematics in antiquity.  The work comprised eight books, four of which have come down to us in their original Greek and three in Arabic.  By the time the Arabic translations were produced, the eighth book had already been lost. In 1710, Edmond Halley, then Savilian Professor of Geometry at Oxford, produced an edition of the Greek text of the Conics of Books I-IV, a translation into Latin from the Arabic versions of Books V-VII, and a reconstruction of Book VIII.   Motivated by such questions as what role did Halley's reconstruction play in the mathematical world of the late 17th and early 18th century? and what did Halley see himself learning from engaging with mathematicians such as Apollonius?, Michael Fried's work provides the first complete English translation of Halley's reconstruction of Book VIII with supplementary notes on the text.  The volume also contains an introduction discussing aspects of Apollonius's Conics, an investigation of Edmond Halley's understanding of the nature of his venture into ancient mathematics, and appendices giving brief accounts of Apollonius's approach to conic sections and his mathematical techniques. This book will be of great interest to students and researchers interested in the history of ancient Greek mathematics and mathematics in the early modern period. . 
650 0 |a Mathematics. 
650 0 |a History. 
650 0 |a Geometry. 
650 1 4 |a History of Mathematical Sciences. 
650 2 4 |a Geometry. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9781461429876 
776 0 8 |i Printed edition:  |z 9781461401452 
776 0 8 |i Printed edition:  |z 9781461401476 
830 0 |a Sources and Studies in the History of Mathematics and Physical Sciences,  |x 2196-8829 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-1-4614-0146-9  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)