Katz V. Sourcebook in the Mathematics of Ancient Greece...2024

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Katz V. Sourcebook in the Mathematics of Ancient Greece...2024

Textbook in PDF format shaped mathematical practice up to modern times. Yet the mathematical activity of Greek antiquity extended far beyond their achievements and was furthered by diverse individuals in different contexts. Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean brings together an extensive collection of primary source materials that document the extraordinary breadth of mathematical ideas developed in the Eastern Mediterranean from 500 BCE to 500 CE, a millennium in which Greek cultural influence spanned the ancient world. Weaving together ancient commentaries with the works themselves, Victor Katz and Clemency Montelle present a wealth of newly translated texts along with sources difficult to find elsewhere, from writings by the great mathematical thinkers of Greek antiquity to those by practitioners who used mathematics in everyday life. This comprehensive and wide-ranging sourcebook includes lesser-known authors who made critical contributions, sometimes in languages other than Greek, as well as accounts of technical instrumentation, papyri by anonymous authors designed for teaching purposes, and evidence of hand computations and numerical tables. An essential resource for anyone interested in the mathematical achievements of this remarkable intellectual culture, Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean encompasses disciplines that illustrate the important role of mathematics in ancient Greek society more broadly, from astronomy, music, and optics to philosophy, literature, and theater. Introduction Acknowledgments The Study and Status of Mathematics Arithmetic Euclid and the Beginnings of Theoretical Geometry Archimedes and Related Authors Apollonius and Other Responses to Archimedes Applied Geometry Astronomy Music Optics Bibliography Index