Pappus of Alexandria: Book 4 of the Collection

Edited with Translation and Commentary by Heike Sefrin-Weis
1. Auflage 2010
ISBN: 978-1-84996-004-5
Verlag: Springer

Buch, Englisch, 328 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 1510 g

Reihe: Sources and Studies in the History of Mathematics and Physical Sciences

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.

Zielgruppe

Research

Autoren/Hrsg.

Sefrin-Weis, Heike

Fachgebiete

• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik
• Mathematik | Informatik Mathematik Topologie
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
• Mathematik | Informatik Mathematik Geometrie

Inhaltsverzeichnis

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.