For many experts in ancient Greek mathematics, the four great mathematicians in antiquity were Euclid, Archimedes, Apollonius and Pappus of Alexandria. TheCollection, Pappus’ most highly-praised and recognised works, consisted of eight volumes, covering a variety of mathematical topics. This volume, the fourth book of the Collection, is devoted to the study of Hellenistic geometry fromthe point of view of mathematical methods and strategies. Written in the 4th Century, A.D., it contains arguments that illustrate the different uses of ancient Greek analysis, and a discussion of all three of the famous ancient problems in geometry: squaring the circle, trisecting the angle, and doubling the cube. Containing a thorough, annotated translation, as well as a rigorous analysis and commentary by Prof. H. Sefrin-Weis, this edition represents the most up-to-date and critical version of Pappus’ fourth volume and will be a fascinating read for mathematicians, scholars, students and researchers with an interest in ancient Greek geometry. 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: 978-1-84882-388-4
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 414
- Fecha Publicación: 01/11/2009
- Nº Volúmenes: 1
- Idioma: Inglés