Book 2014

From Alexandria, Through Baghdad

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

Editors:

ISBN: 978-3-642-36735-9 (Print) 978-3-642-36736-6 (Online)

Table of contents (24 chapters)

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  1. Front Matter

    Pages i-xv

  2. Surveys

    1. Front Matter

      Pages 1-1

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      Chapter

      Pages 3-15

      History of Greek Mathematics: A Survey of Recent Research [1984]

    3. No Access

      Chapter

      Pages 17-23

      Mathematical Reconstructions Out, Textual Studies In: 30 Years in the Historiography of Greek Mathematics [1998]

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      Chapter

      Pages 25-50

      Research on Ancient Greek Mathematical Sciences, 1998-2012

    5. No Access

      Chapter

      Pages 51-71

      History of Mathematics in the Islamic World: The Present State of the Art [1985]

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      Chapter

      Pages 73-99

      Mathematics and Her Sisters in Medieval Islam: A Selective Review of Work Done from 1985 to 1995 [1997]

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      Chapter

      Pages 101-138

      A Survey of Research in the Mathematical Sciences in Medieval Islam from 1996 to 2011

    8. Back Matter

      Pages 1-1

  3. Studies

    1. Front Matter

      Pages 143-143

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      Chapter

      Pages 145-174

      Mechanical Astronomy: A Route to the Ancient Discovery of Epicycles and Eccentrics

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      Chapter

      Pages 175-188

      Some Greek Sundial Meridians

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      Chapter

      Pages 189-198

      An Archimedean Proof of Heron’s Fonnula for the Area of a Triangle: Heuristics Reconstructed

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      Chapter

      Pages 199-225

      Reading the Lost Folia of the Archimedean Palimpsest: The Last Proposition of the Method

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      Chapter

      Pages 227-237

      Acts of Geometrical Construction in the Spherics of Theodosios

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      Chapter

      Pages 239-253

      Archimedes Among the Ottomans: An Updated Survey

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      Chapter

      Pages 255-258

      The “Second” Arabic Translation of Theodosius’ Sphaerica

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      Chapter

      Pages 259-274

      More Archimedean than Archimedes: A New Trace of Abū Sahl al-Kūhī’s Work in Latin

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      Chapter

      Pages 275-296

      Les mathématiques en Occident musulman (IXe-XVIIIe s.) Panorama des travaux réalisés entre 1999 et 2011

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      Chapter

      Pages 297-328

      Ibn al-Raqqām’s al-Zij al-Mustawfi in MS Rabat National Library 2461

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      Chapter

      Pages 329-342

      An Ottoman Astrolabe Full of Surprises

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      Chapter

      Pages 343-358

      Un algébriste arabe: Abū Kāmil Šuğāc ibn Aslam

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      Chapter

      Pages 359-408

      Abū Kāmil’s Book on Mensuration

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      Chapter

      Pages 409-467

      Hebrew Texts on the Regular Polyhedra

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