Victor J. Katz

Menso Folkerts

J. Lennart Berggren

Barnabas Hughes

Roi Wagner

Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon’s use of mathematical induction in combinatorial proofs; Al-Mu’taman Ibn Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’s interesting proof of Euclid’s parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.

Sourcebook in the Mathematics of Medieval Europe and North Africa

James Evans

This is the first complete English translation of Geminos's Introduction to the Phenomena--one of the most important and interesting astronomical works of its type to have survived from Greek antiquity. Gracefully and charmingly written, Geminos's first-century BC textbook for beginning students of astronomy can now be read straight through with understanding and enjoyment by a wider audience than ever before. James Evans and Lennart Berggren's accurate and readable translation is accompanied by a thorough introduction and commentary that set Geminos's work in its historical, scientific, and philosophical context. This book is generously illustrated with diagrams from medieval manuscripts of Geminos's text, as well as drawings and photographs of ancient astronomical instruments. It will be of great interest to students of the history of science, to classicists, and to professional and amateur astronomers who seek to learn more about the origins of their science. Geminos provides a clear view of Greek astronomy in the period between Hipparchos and Ptolemy, treating such subjects as the zodiac, the constellations, the theory of the celestial sphere, lunar cycles, and eclipses. Most significantly, Geminos gives us the earliest detailed discussion of Babylonian astronomy by a Greek writer, thus offering valuable insight into the cross-cultural transmission of astronomical knowledge in antiquity.

J. Lennart Berggren

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