Pappus of Alexandria: Book 4 of the Collection: Edited With Translation and Commentary by Heike Sefrin-Weis - ISBN:1849960046

Pappus of Alexandria: Book 4 of the Collection: Edited With Translation and Commentary by Heike Sefrin-Weis

Date: 14 April 2011, 19:13

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Although not so well known today, Book 4 of Pappus’ 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 – for example, it discusses all three of the famous ancient problems in geometry: squaring the circle; doubling the cube; and trisecting an angle – varying solution strategies, and the different mathematical styles within ancient geometry.
[b]This volume provides an English translation of Collection 4, in full, for the first time, including:[/b]
[list][*]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.
[/list]
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 – from the point of view of mathematical methods and strategies – for readers that had a basic training in elementary geometry (Elements I – VI). Likewise, this edition can be used as a textbook in advanced undergraduate and graduate courses on the history of ancient geometry.

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