Honoring the career of the mathematics historian J.L. Berggren, this book surveys scholarship in the mathematical sciences in ancient Greece and medieval Islam. Also included are studies by eminent scholars of the ancient and medieval mathematical sciences.

History of Greek Mathematics.- Mathematical Reconstructions Out, Textual Studies in.- Research on Ancient Greek Mathematical Sciences.- History of Mathematics in the Islamic World.- Mathematics and Her Sisters in Medieval Islam.- A Survey of Research in the Mathematical Sciences in Medieval Islam from 1996 to 2011.- The Life of Pi: From Archimedes to ENIAC and Beyond.- Mechanical Astronomy: A Route to the Ancient Discovery of Epicycles and Eccentrics.- Some Greek Sundial Meridians.- An Archimedean Proof of Heron’s Formula for the Area of a Triangle.- Reading the Lost Folia of the Archimedean Palimpsest.- Acts of geometrical construction in the Spherics of Theodosios.- Archimedes Among the Ottomans.- The “Second” Arabic Translation of Theodosius’ Sphaerica.- More Archimedean than Archimedes: A New Trace of Abū Sahl al-Kūhī’s work in Latin.- Les mathématiques en Occident musulman.- Ibn al-Raqqām’s al-Zīj al-Mustawfī in MS Rabat National Library 2461.- An Ottoman astrolabe full of surprises.- Un algébriste arabe: Abū Kāmil Šuǧāc ibn Aslam.- Abū Kāmil’s Book on Mensuration.- Hebrew Texts on the Regular Polyhedra.- A Treatise by Bīrūnī on the Rule of Three and its Variations.- Safavid Art, Science, and Courtly Education in the Seventeenth Century.- Translating Playfair’s Geometry into Arabic.