Heike Sefrin-Weis

Pappus of Alexandria: Book 4 of the Collection

Edited with Translation and Commentary by Heike Sefrin-Weis
Herausgeber: Sefrin-Weis, Heike

• Gebundenes Buch

Produktbeschreibung

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 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.

Produktdetails

• Sources and Studies in the History of Mathematics and Physical Sciences
• Verlag: Springer / Springer London / Springer, Berlin
• Artikelnr. des Verlages: 12785193, 978-1-84996-004-5
• Seitenzahl: 328
• Erscheinungstermin: 10. Juni 2010
• Englisch
• Abmessung: 234mm x 156mm x 21mm
• Gewicht: 666g
• ISBN-13: 9781849960045
• ISBN-10: 1849960046
• Artikelnr.: 27306034

Inhaltsangabe

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.