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About From China to Paris: 2000 Years Transmission of Mathematical Ideas
Die Frage nach der Ubermittlung mathematischen Wissens zwischen verschiedenen Kulturen ist in den letzten Jahren zu einem Schwerpunkt mathematikhistorischer Untersuchungen geworden. Hierzu ist die Zusammenarbeit von Spezialisten erforderlich, die sich mit verschiedenen Kulturen, Sprachen und mathematischen Traditionen beschaftigen. Das vorliegende Buch, das Ergebnis von Tagungen im Mathematischen Forschungsinstitut Oberwolfach und im Research and Conference Center der Rockefeller Foundation in Bellagio, behandelt die vielfaltigen Wege, die bei der Vermittlung mathematischen Wissens von den Babyloniern bis zum 17. Jahrhundert eingeschlagen wurden, und insbesondere den Austausch mathematischer Ideen von Indien uber China und die arabische Welt bis nach Westeuropa. Contents: K. Vogel: A Surveying Problem Travels from China to Paris - J. Hoyrup: Seleucid Innovations in the Babylonian oAlgebraico Tradition and their Kin Abroad - J. L. Berggren: Some Ancient and Medieval Approximations to Irrational Numbers and Their Transmission - J. Sesiano: A Reconstruction of Greek Multiplication Tables for Integers - A. Breard: Problems of Pursuit: Recreational Mathematics or Astronomy? - K. Chemla / A. Keller: The Sanskrit karanis and the Chinese mian - S. R. Sarma: Rule of Three and its Variations in India - L. Dun: A Homecoming Stranger: Transmission of the Method of Double False Position and the Story of Hiero's Crown - K. Plofker: Use and Transmission of Iterative Approximations in India and the Islamic World - J. P. Hogendijk: Anthyphairetic Ratio Theory in Medieval Islamic Mathematics - U. Rebstock: An Early Link of the Arabic Tradition of Practical Arithmetic: The Kitab al -Thadhkira bi-usul al-hisab wa 'l-fara'id wa-'awliha wa-tashihiha - A. Djebbar: La circulation des mathematiques entre l'Orient et l'Occident musulmans: Interrogations anciennes et elements nouveaux - C. Burnett: Indian Numerals in the Mediterranean Basin in the Twelfth Century, with Special Reference to the oEastern Formso - R. Franci: Jealous Husbands Crossing the River: A Problem from Alcuin to Tartaglia - T. Levy: De l'arabe a l'hebreu: la constitution de la litterature mathematique hebraique (XIIe-XVIe siecle) - B. van Dalen: Islamic and Chinese Astronomy under the Mongols: a Little-Known Case of Transmission - M. Bagheri: A New Treatise by al-Kashi on the Depression of the Visible Horizon - A. Volkov: On the Origins of the Toan phap dai thanh (Great Compendium of Mathematical Methods) - M. Folkerts: Regiomontanus' Role in the Transmission of Mathematical Problems - D. Pingree: Philippe de la Hire's Planetary Theories in Sanskrit. (Franz Steiner 2002)
Detailed Information
| Author: | Benno van Dalen, Joseph W. Dauben, Yvonne Dold-Samplonius, Menso Folkerts |
|---|---|
| ISBN: | 9783515082235 |
| Pages: | 481 |
| Language: | English |
| File Size: | 14.418 |
| Format: | |
| Price: | FREE |
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