From Alexandria, Through Baghdad: Surveys and Studies in the Ancient Greek and Medieval Islamic Mathematical Sciences in Honor of J.L. Berggren (English, Greek and Hebrew Edition)

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. Front Matter....Pages i-xv Front Matter....Pages 1-1 History of Greek Mathematics: A Survey of Recent Research [1984]....Pages 3-15 Mathematical Reconstructions Out, Textual Studies In: 30 Years in the Historiography of Greek Mathematics [1998]....Pages 17-23 Research on Ancient Greek Mathematical Sciences, 1998-2012....Pages 25-50 History of Mathematics in the Islamic World: The Present State of the Art [1985]....Pages 51-71 Mathematics and Her Sisters in Medieval Islam: A Selective Review of Work Done from 1985 to 1995 [1997]....Pages 73-99 A Survey of Research in the Mathematical Sciences in Medieval Islam from 1996 to 2011....Pages 101-138 Back Matter....Pages 1-1 Front Matter....Pages 143-143 Mechanical Astronomy: A Route to the Ancient Discovery of Epicycles and Eccentrics....Pages 145-174 Some Greek Sundial Meridians....Pages 175-188 An Archimedean Proof of Heron’s Fonnula for the Area of a Triangle: Heuristics Reconstructed....Pages 189-198 Reading the Lost Folia of the Archimedean Palimpsest: The Last Proposition of the Method ....Pages 199-225 Acts of Geometrical Construction in the Spherics of Theodosios....Pages 227-237 Archimedes Among the Ottomans: An Updated Survey....Pages 239-253 The “Second” Arabic Translation of Theodosius’ Sphaerica ....Pages 255-258 More Archimedean than Archimedes: A New Trace of Abū Sahl al-Kūhī’s Work in Latin....Pages 259-274 Les mathématiques en Occident musulman (IX e -XVIII e s.) Panorama des travaux réalisés entre 1999 et 2011....Pages 275-296 Ibn al-Raqqām’s al-Zij al-Mustawfi in MS Rabat National Library 2461....Pages 297-328 An Ottoman Astrolabe Full of Surprises....Pages 329-342 Un algébriste arabe: Abū Kāmil Šuğā c ibn Aslam....Pages 343-358 Abū Kāmil’s Book on Mensuration ....Pages 359-408 Hebrew Texts on the Regular Polyhedra....Pages 409-467 Front Matter....Pages 143-143 A Treatise by al-Bīrūnī on the Rule of Three and its Variations....Pages 469-485 Safavid Art, Science, and Courtly Education in the Seventeenth Century....Pages 487-502 Translating Playfair’s Geometry into Arabic: Mathematics and Missions....Pages 503-527 Front Matter....Pages 529-529 The Life of π: From Archimedes to ENIAC and Beyond....Pages 531-561 Back Matter....Pages 563-583