Les Mathématiques Infinitésimales du IXe au XIe Siècle

Les Mathématiques Infinitésimales du IXe au XIe Siècle examines the development of infinitesimal mathematics in medieval Islamic societies between the 9th and 11th centuries. The text presents translations and analysis of mathematical works from this period, with a focus on geometrical and computational innovations. The book analyzes contributions from scholars including Thābit ibn Qurra, Ibn al-Haytham, and al-Sijzī, documenting their methods for calculating areas, volumes, and tangents. Rashed provides extensive commentary on the original Arabic texts and situates them within the broader evolution of mathematical thought. Through close examination of primary sources, the work reveals the transmission and transformation of Greek mathematical heritage in medieval Islamic contexts. The text demonstrates how these mathematicians extended classical methods while developing new approaches to infinitesimal problems. This scholarly work illuminates a crucial period in the history of mathematics, highlighting the significance of medieval Islamic contributions to the foundations of calculus and analytical geometry. The research challenges traditional narratives about the development of mathematical concepts in different cultural spheres.

There appear to be very limited public reader reviews available for this specialized academic text focusing on medieval Islamic mathematics. The book series, published in multiple volumes in French, is primarily referenced and reviewed in academic journals and mathematics history publications rather than consumer review sites. What readers mentioned liking: - Comprehensive coverage of medieval Arabic mathematical manuscripts - Detailed analysis of infinitesimal concepts across different mathematicians - Inclusion of original Arabic texts alongside translations What readers noted as limitations: - Text is in French, limiting accessibility for English-only readers - Technical complexity requires advanced mathematics background - High cost of volumes No ratings or reviews found on Goodreads or Amazon. The book appears to be mainly used by researchers and specialists in mathematics history rather than general readers. Reviews are primarily found in academic journals rather than public review platforms.

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🔸 Roshdi Rashed, born in Cairo in 1936, is one of the world's foremost historians of Arabic mathematics and has spent decades uncovering medieval Islamic mathematical manuscripts previously unknown to Western scholars. 🔸 The book reveals how Islamic mathematicians made crucial developments in infinitesimal mathematics centuries before European mathematicians like Newton and Leibniz, particularly in the work of Ibn al-Haytham. 🔸 Many of the mathematical texts examined in this work were preserved in libraries across Turkey, Iran, and India, requiring extensive travel and translation work to bring these discoveries to light. 🔸 The period covered (9th-11th centuries) coincides with the Islamic Golden Age, when Baghdad's House of Wisdom became a global center for mathematical and scientific advancement. 🔸 This research helped establish that medieval Islamic mathematicians were the first to use geometric methods to solve algebraic equations, particularly in their work on cubic equations and infinitesimal problems.