Pappus of Alexandria: Book 4 of the Collection (häftad)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
328
Utgivningsdatum
2012-09-05
Upplaga
2010 ed.
Förlag
Springer London Ltd
Medarbetare
Sefrin-Weis, Heike (ed. & transl.)/Sefrin-Weis, Heike (commentator)
Illustrationer
101 Illustrations, black and white; XXXII, 328 p. 101 illus.
Volymtitel
Bk. 4
Dimensioner
235 x 155 x 22 mm
Vikt
533 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9781447125648

Pappus of Alexandria: Book 4 of the Collection

Edited With Translation and Commentary by Heike Sefrin-Weis

Häftad,  Engelska, 2012-09-05
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Although not so well known today, Book 4 of Pappus Collection is one of the most important and influential mathematical texts from antiquity. The mathematical vignettes form a portrait of mathematics during the Hellenistic "Golden Age", illustrating central problems for example, 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 Hultschs 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.
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Innehållsförteckning

Greek 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.