Sources and Studies in the History of Mathematics and Physical Sciences

Pappus of Alexandria: Book 4 of the Collection

Edited With Translation and Commentary by Heike Sefrin-Weis

Authors: Sefrin-Weis, Heike

  • 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 gives unique insights into Greek geometrical methodology
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eBook $109.00
price for USA (gross)
  • ISBN 978-1-84996-005-2
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  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-1-84996-004-5
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  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-1-4471-2564-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

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.

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.

Table of contents (12 chapters)

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-84996-005-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-1-84996-004-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-1-4471-2564-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Pappus of Alexandria: Book 4 of the Collection
Book Subtitle
Edited With Translation and Commentary by Heike Sefrin-Weis
Authors
Series Title
Sources and Studies in the History of Mathematics and Physical Sciences
Copyright
2010
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-84996-005-2
DOI
10.1007/978-1-84996-005-2
Hardcover ISBN
978-1-84996-004-5
Softcover ISBN
978-1-4471-2564-8
Series ISSN
2196-8810
Edition Number
1
Number of Pages
XXXII, 328
Number of Illustrations and Tables
101 b/w illustrations
Topics