An invaluable reference book on the mathematics of Greek antiquity
Euclid, Archimedes, and Apollonius are familiar names to many of us, and their contributions have 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.
"In recent decades, there has been extensive research on Greek mathematics that has considerably enlarged the scope of this area of inquiry. Traditionally, "Greek mathematics" has referred to the axiomatic work of Archimedes, Apollonius, and others in the first three centuries BCE. However, there is a wide body of mathematical work that appeared in the eastern Mediterranean during the time it was under Greek influence (from approximately 400 BCE to 600 CE), which remains under-explored in the existing scholarship. This sourcebook provides an updated look at Greek mathematics, bringing together classic Greek texts with material from lesser-known authors, as well as newly uncovered texts that have been omitted in previous scholarship. The book adopts a broad scope in defining mathematical practice, and as such, includes fields such as music, optics, and architecture. It includes important sources written in languages other than Greek in the eastern Mediterranean area during the period from 400 BCE to 600 CE, which show some influence from Greek culture. It also includes passages that highlight the important role mathematics played in philosophy, pedagogy, and popular culture. The book is organized topically; chapters include arithmetic, plane geometry, astronomy, and philosophy, literature, and education. Within each chapter, the (translated) texts are organized chronologically. The book weaves together ancient commentary on classic Greek works with the works themselves to show how the understanding of mathematical ideas changed over the centuries"--
"[
Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean] will certainly be a rich and useful tool for historians of mathematics, but the authors have carefully organized and framed the texts so that even a generally interested reader will enjoy browsing through the material and learn some surprising facts."
---Adhemar Bultheel, Newsletter of the Belgian Mathematical Society
