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Catalogue Information
Field name	Details
Dewey Class	510.9
Title	Pappus of Alexandria: Book 4 of the Collection (EB) / edited by Heike Sefrin-Weis.
Author	Sefrin-Weis, Heike
Other name(s)	SpringerLink (Online service)
Publication	London : Springer London
Publication	, 2010.
Physical Details	: online resource.
Series	Sources and studies in the history of mathematics and physical sciences
ISBN	9781849960052
Summary Note	Although not so well known today, Book 4 of Pappusâ Collection is one of the most important and influential mathematical texts from antiquity, both because of its content and because of its impact on early modern mathematics after 1600. As a kind of textbook in anthology format, the mathematical vignettes form a portrait of mathematics during the Hellenistic "Golden Age", illustrating central problems â for example, it discusses all three of the famous ancient problems in geometry: squaring the circle; doubling the cube; and trisecting an angle â 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 Hultschâs 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. Historians of mathematics will find it useful for scholarly work on ancient geometry and its reception in the early modern era and it will also serve as a source book for exemplary arguments in ancient geometry. Pappus himself probably intended Collection 4 to be an introductory survey of the classical geometrical tradition â from the point of view of mathematical methods and strategies â for readers that had a basic training in elementary geometry (Elements I â VI). Likewise, this edition can be used as a textbook in advanced undergraduate and graduate courses on the history of ancient geometry.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-84996-005-2
Links to Related Works	Subject References: Geometry . History of Mathematical Sciences . Mathematics . Authors: Sefrin-Weis, Heike . Corporate Authors: SpringerLink (Online service) . Series: Sources and studies in the history of mathematics and physical sciences . Classification: 510.9 .

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Pappus of Alexandria: Book 4 of the Collection

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