"Evans and Berggren have produced a work that should be on the shelves of all students and scholars interested in the history of early astronomy. Because of the appeal of Geminos's text, this translation will provide a very valuable resource for teaching the history of astronomy and cosmology, as well as early science more generally. The translation is clear, the scholarly apparatus authoritative, and the commentary will serve the needs and interests of a wide range of readers."--Liba Taub, Director & Curator, Whipple Museum, and Reader, Department of History and Philosophy of Science, Cambridge University

"Evans and Berggren have provided both the specialist historian and the general scholar and reader with everything they might need to profit from the text. The introduction has a judicious discussion of the history of the book and its author, its place in the history of astronomy, its intended audience, and the general conceptual framework that it assumes. And the translators have done a splendid job of finding accurate English equivalents of the Greek terms and phrases."--Alexander Jones, University of Toronto

"Everything about this book is excellent. The translation is a model of clarity and the notes to each section explain the text in detail, both technically and historically. The extensive introduction is, by itself, the most detailed account to date of many, perhaps most, of the subjects treated by Geminos. The book will be of use and interest to everyone curious about ancient science, from the student to the specialist. Evans and Berggren have done such an excellent job in every way, their knowledge of the subject is so complete, that I can only admire their work andrecommend it as exemplary."--Noel M. Swerdlow, University of Chicago

In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. "The Mathematics of Egypt, Mesopotamia, China, India, and Islam" gives English readers a firsthand understanding and appreciation of these cultures' important contributions to world mathematics.

The five section authors--Annette Imhausen (Egypt), Eleanor Robson (Mesopotamia), Joseph Dauben (China), Kim Plofker (India), and J. Lennart Berggren (Islam)--are experts in their fields. Each author has selected key texts and in many cases provided new translations. The authors have also written substantial section introductions that give an overview of each mathematical culture and explanatory notes that put each selection into context. This authoritative commentary allows readers to understand the sometimes unfamiliar mathematics of these civilizations and the purpose and significance of each text.

Addressing a critical gap in the mathematics literature in English, this book is an essential resource for anyone with at least an undergraduate degree in mathematics who wants to learn about non-Western mathematical developments and how they helped shape and enrich world mathematics. The book is also an indispensable guide for mathematics teachers who want to use non-Western mathematical ideas in the classroom.

Ptolemy's "Geography" is the only book on cartography to have survived from the classical period and one of the most influential scientific works of all time. Written in the second century AD, for more than fifteen centuries it was the most detailed topography of Europe and Asia available and the best reference on how to gather data and draw maps. Ptolemy championed the use of astronomical observation and applied mathematics in determining geographical locations. But more importantly, he introduced the practice of writing down coordinates of latitude and longitude for every feature drawn on a world map, so that someone else possessing only the text of the "Geography" could reproduce Ptolemy's map at any time, in whole or in part, at any scale.

Here Berggren and Jones render an exemplary translation of the "Geography" and provide a thorough introduction, which treats the historical and technical background of Ptolemy's work, the contents of the "Geography, " and the later history of the work. Also included here are unique color reproductions of maps from manuscripts and early printed editions of the text, representative of the beautiful and practical cartographic artistry that flowed from Ptolemy's work. Historians of science, classicists, and anyone who enjoys beautiful maps or map making will find this work an indispensable addition to their library.

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 H?d's extensive survey of mathematics, which included proofs of Heron's Theorem and Ceva's Theorem; and Muhy? al-D?n al-Maghrib?'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.