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020 _a9781849960052
_99781849960052
024 7 _a10.1007/9781849960052
_2doi
035 _avtls000344596
039 9 _a201509030403
_bVLOAD
_c201405050309
_dVLOAD
_y201402061301
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA21-27
100 1 _aSefrin-Weis, Heike.
_eeditor.
_9321514
245 1 0 _aPappus of Alexandria: Book 4 of the Collection /
_cedited by Heike Sefrin-Weis.
264 1 _aLondon :
_bSpringer London :
_bImprint: Springer,
_c2010.
300 _brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aSources and Studies in the History of Mathematics and Physical Sciences
500 _aSpringer eBooks
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.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9781849960045
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-84996-005-2
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999 _c290663
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