000			03493nam a22004455i 4500
001			978-1-4614-0146-9
003			DE-He213
005			20140220083238.0
007			cr nn 008mamaa
008			110901s2012 xxu| s |||| 0|eng d
020			_a9781461401469 _9978-1-4614-0146-9
024	7		_a10.1007/978-1-4614-0146-9 _2doi
050		4	_aQA21-27
072		7	_aPBX _2bicssc
072		7	_aMAT015000 _2bisacsh
082	0	4	_a510.9 _223
100	1		_aFried, Michael N. _eauthor.
245	1	0	_aEdmond Halley’s Reconstruction of the Lost Book of Apollonius’s Conics _h[electronic resource] : _bTranslation and Commentary / _cby Michael N. Fried.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2012.
300			_aX, 134 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSources and Studies in the History of Mathematics and Physical Sciences
505	0		_aI. 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			_aApollonius’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	_aMathematics.
650		0	_aGeometry.
650	1	4	_aMathematics.
650	2	4	_aHistory of Mathematical Sciences.
650	2	4	_aGeometry.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461401452
830		0	_aSources and Studies in the History of Mathematics and Physical Sciences
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-0146-9
912			_aZDB-2-SMA
999			_c100810 _d100810