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020 _a9781849960052
_9978-1-84996-005-2
040 _cMX-MeUAM
050 4 _aQA21-27
082 0 4 _a510.9
_223
100 1 _aSefrin-Weis, Heike.
_eeditor.
245 1 0 _aPappus of Alexandria: Book 4 of the Collection
_h[recurso electrónico] /
_cedited by Heike Sefrin-Weis.
264 1 _aLondon :
_bSpringer London :
_bImprint: Springer,
_c2010.
300 _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 _aGreek Text and Annotated Translation -- Greek Text -- Annotated Translation of Collectio IV -- Commentary -- Plane Geometry, Apollonian Style -- Plane Geometry, Apollonian Style -- Plane Geometry, Archaic Style -- Plane Geometry, Archimedean -- Motion Curves and Symptoma-Mathematics -- Meta-theoretical Passage -- Angle Trisection -- General Angle Division -- Quadratrix, Rectification Property -- Analysis for an Archimedean Neusis.
520 _aAlthough not so well known today, Book 4 of Pappus’ Collection is one of the most important and influential mathematical texts from antiquity, both because of its content and because of its impact on early modern mathematics after 1600. As a kind of textbook in anthology format, the mathematical vignettes form a portrait of mathematics during the Hellenistic "Golden Age", illustrating central problems – for example, it discusses all three of the famous ancient problems in geometry: squaring the circle; doubling the cube; and trisecting an angle – varying solution strategies, and the different mathematical styles within ancient geometry. This volume provides an English translation of Collection 4, in full, for the first time, including: a new edition of the Greek text, based on a fresh transcription from the main manuscript and offering an alternative to Hultsch’s standard edition; notes to facilitate understanding of the steps in the mathematical argument; a commentary highlighting aspects of the work that have so far been neglected, and supporting the reconstruction of a coherent plan and vision within the work; bibliographical references for further study. Historians of mathematics will find it useful for scholarly work on ancient geometry and its reception in the early modern era and it will also serve as a source book for exemplary arguments in ancient geometry. Pappus himself probably intended Collection 4 to be an introductory survey of the classical geometrical tradition – from the point of view of mathematical methods and strategies – for readers that had a basic training in elementary geometry (Elements I – VI). Likewise, this edition can be used as a textbook in advanced undergraduate and graduate courses on the history of ancient geometry.
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:
_z9781849960045
830 0 _aSources and Studies in the History of Mathematics and Physical Sciences
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-84996-005-2
596 _a19
942 _cLIBRO_ELEC
999 _c200679
_d200679