This book explores facets of Otto Neugebauer's career, his impact on the history and practice of mathematics, and the ways in which his legacy has been preserved or transformed in recent decades, looking ahead to the directions in which the study of the history of science will head in the twenty-first century. Neugebauer, more than any other scholar of recent times, shaped the way we perceive premodern science. Through his scholarship and influence on students and collaborators, he inculcated both an approach to historical research on ancient and medieval mathematics and astronomy through precise mathematical and philological study of texts, and a vision of these sciences as systems of knowledge and method that spread outward from the ancient Near Eastern civilizations, crossing cultural boundaries and circulating over a tremendous geographical expanse of the Old World from the Atlantic to India.

This revealing work examines an approach from ancient astronomy to what was then a particularly important question, namely that of understanding the relationship between the position in the ecliptic and the time it takes for a fixed-length of the ecliptic beginning at that point to rise above the eastern horizon. Schemes known as "rising time schemes" were used to give lengths of the celestial equator corresponding to each of the twelve zodiacal signs which make up the ecliptic. This book investigates the earliest known examples of these schemes which come from Babylonia and date to the mid to late first millennium BC. Making an important contribution to our knowledge of astronomy in the ancient world, this volume includes editions and translations of all of the known Babylonian rising time texts, including several texts that are identified for the first time. Through a close examination of the preserved texts it has been possible to reconstruct the complete Babylonian rising time scheme. This reconstruction is unprecedented in its completeness, and it is also now possible to situate the scheme within a genre of Babylonian astronomy known as schematic astronomy which presents theoretical descriptions of the astronomical phenomena. The unique discoveries and fresh explorations in this book will be of interest to historians of ancient astronomy, scholars of Babylonian history and those investigating the origins of scientific thought.

The discovery of a gradual acceleration in the moon's mean motion by Edmond Halley in the last decade of the seventeenth century led to a revival of interest in reports of astronomical observations from antiquity. These observations provided the only means to study the moon's 'secular acceleration', as this newly-discovered acceleration became known. This book contains the first detailed study of the use of ancient and medieval astronomical observations in order to investigate the moon's secular acceleration from its discovery by Halley to the establishment of the magnitude of the acceleration by Richard Dunthorne, Tobias Mayer and Jerome Lalande in the 1740s and 1750s. Making extensive use of previously unstudied manuscripts, this work shows how different astronomers used the same small body of preserved ancient observations in different ways in their work on the secular acceleration. In addition, this work looks at the wider context of the study of the moon's secular acceleration, including its use in debates of biblical chronology, whether the heavens were made up of aether, and the use of astronomy in determining geographical longitude. It also discusses wider issues of the perceptions and knowledge of ancient and medieval astronomy in the early-modern period. This book will be of interest to historians of astronomy, astronomers and historians of the ancient world.

This book explores facets of Otto Neugebauer's career, his impact on the history and practice of mathematics, and the ways in which his legacy has been preserved or transformed in recent decades, looking ahead to the directions in which the study of the history of science will head in the twenty-first century. Neugebauer, more than any other scholar of recent times, shaped the way we perceive premodern science. Through his scholarship and influence on students and collaborators, he inculcated both an approach to historical research on ancient and medieval mathematics and astronomy through precise mathematical and philological study of texts, and a vision of these sciences as systems of knowledge and method that spread outward from the ancient Near Eastern civilizations, crossing cultural boundaries and circulating over a tremendous geographical expanse of the Old World from the Atlantic to India.

The Middle East was both the birthplace of astronomy and the centre for its development during the medieval period. John M. Steele traces the development of the Late Babylonians' ingenious schemes for modelling planetary motion. He reveals how medieval Islamic advances in the study of the heavens, and the design of precise astronomical instruments, led to breakthroughs by Renaissance practitioners such as Copernicus and Kepler. Steele offers a fascinating insight into the history of astronomy in the Middle East and its profound influence on the rest of the world.

Lunar calendars suffer from an inherent uncertainty in the length of each month and the number of months in the year. Variable atmospheric conditions, weather and the acuity of the eye of an observer mean that the first sighting of the new moon crescent can never be known in advance. Calendars which rely on such observations to define the beginning of a new month therefore suffer from this lack of certainty as to whether a month will begin on a given day or the next. The papers in this volume address the question of how ancient and medieval societies lived with the uncertainties of a lunar calendar. How did lack of foreknowledge of the beginning of the month impact upon administration, the planning of festivals, and historical record keeping? Did societies replace the observation of the new moon crescent with schematic calendars or calendars based upon astronomical calculations and what were the ideological and practical consequences of such a change? The contributors to this volume address these topics from the perspectives of a variety of Ancient Near Eastern, Jewish, Ancient and Medieval European, Asian and American cultures.

The discovery of a gradual acceleration in the moon's mean motion by Edmond Halley in the last decade of the seventeenth century led to a revival of interest in reports of astronomical observations from antiquity. These observations provided the only means to study the moon's 'secular acceleration', as this newly-discovered acceleration became known. This book contains the first detailed study of the use of ancient and medieval astronomical observations in order to investigate the moon's secular acceleration from its discovery by Halley to the establishment of the magnitude of the acceleration by Richard Dunthorne, Tobias Mayer and Jerome Lalande in the 1740s and 1750s. Making extensive use of previously unstudied manuscripts, this work shows how different astronomers used the same small body of preserved ancient observations in different ways in their work on the secular acceleration. In addition, this work looks at the wider context of the study of the moon's secular acceleration, including its use in debates of biblical chronology, whether the heavens were made up of aether, and the use of astronomy in determining geographical longitude. It also discusses wider issues of the perceptions and knowledge of ancient and medieval astronomy in the early-modern period. This book will be of interest to historians of astronomy, astronomers and historians of the ancient world."