Edited With Translation and Commentary by Heike Sefrin-Weis. 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', illustratingcentral 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 translationof Collection 4, in full, for the first time, including: a new edition of theGreek 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." Pappus' work is the most important source on Greek mathematics from late antiquity, an invaluable source of information about the mathematics of the Hellenistic 'Golden Age' This volume of the Collection give unique insights into Greek geometrical methodology INDICE: 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 anArchimedean neusis.- Appendices.
- ISBN: 978-1-84996-004-5
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 247
- Fecha Publicación: 01/01/2010
- Nº Volúmenes: 1
- Idioma: Inglés