Heike Sefrin-Weis

Pappus of Alexandria: Book 4 of the Collection

Edited With Translation and Commentary by Heike Sefrin-Weis

• Broschiertes 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: 978-1-4471-2564-8
• 2010
• Seitenzahl: 360
• Erscheinungstermin: 5. September 2012
• Englisch
• Abmessung: 235mm x 155mm x 20mm
• Gewicht: 550g
• ISBN-13: 9781447125648
• ISBN-10: 1447125649
• Artikelnr.: 36084481

Inhaltsangabe

General Introduction.- Part I - Text and translation;- Greek text and annotated translation.- Part II - Commentary;- 2 Plane Geometry.- 3 Plane Geometry, Archaic Style.- 4 Plane Geometry, Archimedean.- 5 Motion curves and symptoma-mathematics.- 6 Meta-theoretical passage.- 7 Angle trisection.- 8 General angle division.- 9 Quadratix, rectification property.- 10 Analysis for an Archimedean neusis.- Appendices.