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© 2014

From Alexandria, Through Baghdad

Surveys and Studies in the Ancient Greek and Medieval Islamic Mathematical Sciences in Honor of J.L. Berggren

  • Nathan Sidoli
  • Glen Van Brummelen

  • A one-stop overview for recent scholarship in the field

  • A good selection of examples of sound practices in producing new scholarship

  • State-of-the-art papers in a range of fundamental topics and methods

  • Includes supplementary material: sn.pub/extras

Book

Table of contents

  1. Front Matter
    Pages i-xv
    PDF

  2. Surveys

    1. Front Matter
      Pages 1-1
      PDF
    2. History of Greek Mathematics: A Survey of Recent Research [1984]
      J. Lennart Berggren
      Pages 3-15
    3. Mathematical Reconstructions Out, Textual Studies In: 30 Years in the Historiography of Greek Mathematics [1998]
      Ken Saito
      Pages 17-23
    4. Research on Ancient Greek Mathematical Sciences, 1998-2012
      Nathan Sidoli
      Pages 25-50
    5. History of Mathematics in the Islamic World: The Present State of the Art [1985]
      J. Lennart Berggren
      Pages 51-71
    6. Mathematics and Her Sisters in Medieval Islam: A Selective Review of Work Done from 1985 to 1995 [1997]
      J. Lennart Berggren
      Pages 73-99
    7. A Survey of Research in the Mathematical Sciences in Medieval Islam from 1996 to 2011
      Glen Van Brummelen
      Pages 101-138
    8. Back Matter
      Pages 1-1
      PDF

  3. Studies

    1. Front Matter
      Pages 143-143
      PDF
    2. Mechanical Astronomy: A Route to the Ancient Discovery of Epicycles and Eccentrics
      James Evans, Christián Carlos Cannan
      Pages 145-174
    3. Some Greek Sundial Meridians
      Alexander Jones
      Pages 175-188
    4. An Archimedean Proof of Heron’s Fonnula for the Area of a Triangle: Heuristics Reconstructed
      Christian Marinus Taisbak
      Pages 189-198
    5. Reading the Lost Folia of the Archimedean Palimpsest: The Last Proposition of the Method
      Ken Saito, Pier Daniele Napolitani
      Pages 199-225
    6. Acts of Geometrical Construction in the Spherics of Theodosios
      Robert Thomas
      Pages 227-237
    7. Archimedes Among the Ottomans: An Updated Survey
      İhsan Fazlıoğlu, F. Jamil Ragep
      Pages 239-253
    8. The “Second” Arabic Translation of Theodosius’ Sphaerica
      Richard Lorch
      Pages 255-258
    9. More Archimedean than Archimedes: A New Trace of Abū Sahl al-Kūhī’s Work in Latin
      Jan P. Hogendijk
      Pages 259-274
    10. Les mathématiques en Occident musulman (IXe-XVIIIe s.) Panorama des travaux réalisés entre 1999 et 2011
      Ahmed Djebbar
      Pages 275-296
    11. Ibn al-Raqqām’s al-Zij al-Mustawfi in MS Rabat National Library 2461
      Julio Samsó
      Pages 297-328

About this book

Introduction

This book honors the career of historian of mathematics J.L. Berggren, his scholarship, and service to the broader community. The first part, of value to scholars, graduate students, and interested readers, is a survey of scholarship in the mathematical sciences in ancient Greece and medieval Islam. It consists of six articles (three by Berggren himself) covering research from the middle of the 20th century to the present. The remainder of the book contains studies by eminent scholars of the ancient and medieval mathematical sciences. They serve both as examples of the breadth of current approaches and topics, and as tributes to Berggren's interests by his friends and colleagues.

Keywords

Greek mathematical sciences Islamic mathematical sciences history of astronomy history of exact sciences history of mathematics

Editors and affiliations

  • Nathan Sidoli
    • 1
  • Glen Van Brummelen
    • 2
  1. 1.School for International Liberal StudiesWaseda UniversityTokyoJapan
  2. 2.Quest UniversitySquamishCanada

Bibliographic information

  • Book Title From Alexandria, Through Baghdad
  • Book Subtitle Surveys and Studies in the Ancient Greek and Medieval Islamic Mathematical Sciences in Honor of J.L. Berggren
  • Editors Nathan Sidoli
    Glen Van Brummelen
  • DOI https://doi.org/10.1007/978-3-642-36736-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2014
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-642-36735-9
  • Softcover ISBN 978-3-662-50748-3
  • eBook ISBN 978-3-642-36736-6
  • Edition Number 1
  • Number of Pages XV, 583
  • Number of Illustrations 137 b/w illustrations, 21 illustrations in colour
  • Topics History of Mathematical Sciences
    Mathematics, general