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

Nathan Sidoli e Glen Van Brummelen

Springer | 2014 | 584 páginas | rar - pdf | 248 Mb

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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.

Contents
Part I Surveys
History of Greek Mathematics: A Survey ofRcccnt Research [1984].3
Lennart Berggren
Mathematical Reconstructions Out, Textual Studies In: 30 Years in the Historiography of
Greek Mathematics [1998] . . 17
Ken Saito
Research on Ancient Greek Mathematical Sciences, 1998-2012  . 25
Nathan Sidoti
History of Mathematics in the IsWnic World: The Present State of the Art [1985] . . 51
J. Lennart Berggren
Mathematics and Her Sisters in Medieval Islam: A Selective Review of Work Done from
1985 to 1995 [1997] . 73
 Lennart Berggren
A Survey of Research in the Mathematical Sciences in Medieval Islam from 1996 to 2011. 101
Glen Van Brummelen
Part II Studies
Mechanical Astronomy: A Route to the Ancient Discovery of Epicycles and Eccentrics  . 145
James Evans and Christian Carlos Carman
Some Greek Sundial Meridians . . . . 175
Alexander Jones
An Archimedean Proof of Heron's Fonnula for the Area of a Triangle: Heuristics Reconstructed . 189
Christian Marinus Taisbak
Reading the Lost Folia. of the Archimedean Palimpsest: The Last Proposition of the Method . 199
Ken Saito and Pier Daniele Napolitani
Acts of Geometrical Construction in the Spherics ofTheodosios .  227
Roben Thomas
Archimedes Among the Ottomans: An Updated Survey.. . 239
ihsan Fazlloglu and F. Jamil Ragep
The "Second" Arabic Translation of Theodosius' Spbaerica . . . 255
Richard Lorch
More Archimedean than Archimedes: A New Trace of Abu Sahl al-Kiihi's Work in Latin  . 259
Jan P. Hogendijk
Les mathematiques en Occident musulman (IX-XVIII) : Panorama des travaux realises
entre 1999 et 2011 ... 275
Ahmed Djebbar
Ibn al-Raqqam's al-Zij al-Mustarufi in MS Rabat National Library 2461 ..... 297
Julio Samso
An Ottoman Astrolabe Full of Surprises. . 329
David A. King
Un algebriste arabe : Abu Kamil Suga ibn Aslam .. 343
Add Anbouba avec les commentaires de Jacques Sesiano)
Abu Kamil's Book on Mensuration . . 359
Jacques Sesiano
Hebrew Texts on the Regular Polyhedra  . 409
Tzvi Langermann
A Treatise by al-Biriini on the Rule of Three and its Variations ..... 469
Takanori K.usuba
Safavid Art, Science, and Courtly Education in the Seventeenth Century. .487
Sonja Brentjes
Translating Playir's Geometry into Arabic: Mathematics and Missions . . 503
Gregg De Young
Part III The Story of pi:
The Life of pi: From Archimedes to ENIAC and Beyond  531
Jonathan M. Borwein
Index of Personal Names . 563

Index of Ancient and Medieval Tides  . 577