Calendrical Calculations Millennium Edition

This book makes accurate calendrical algorithms readily available for computer use.

Expanded coverage includes generic cyclical calendars, astronomical lunar calendars, and the Korean, Vietnamese, Aztec, and Tibetan calendars.

An invaluable resource for working programmers, as well as a fount of useful algorithmic tools for computer scientists, astronomers, and other calendar enthusiasts, The Ultimate Edition updates and expands the previous edition to achieve more accurate results and present new calendar variants. The book now includes coverage of Unix dates, Italian time, the Akan, Icelandic, Saudi Arabian Umm al-Qura, and Babylonian calendars. There are also expanded treatments of the observational Islamic and Hebrew calendars and brief discussions of the Samaritan and Nepalese calendars. Several of the astronomical functions have been rewritten to produce more accurate results and to include calculations of moonrise and moonset. The authors frame the calendars of the world in a completely algorithmic form, allowing easy conversion among these calendars and the determination of secular and religious holidays. LISP code for all the algorithms is available in machine-readable form.

The Gregorian calendar reform of 1582, which provided the basis for the civil and Western ecclesiastical calendars still in use today, has often been seen as a triumph of early modern scientific culture or an expression of papal ambition in the wake of the Counter-Reformation. Much less attention has been paid to reform's intellectual roots in the European Middle Ages, when the reckoning of time by means of calendrical cycles was a topic of central importance to learned culture, as impressively documented by the survival of relevant texts and tables in thousands of manuscripts copied before 1500. For centuries prior to the Gregorian reform, astronomers, mathematicians, theologians, and even Church councils had been debating the necessity of improving or emending the existing ecclesiastical calendar, which throughout the Middle Ages kept losing touch with the astronomical phenomena at an alarming pace. Scandalous Error is the first comprehensive study of the medieval literature devoted to the calendar problem and its cultural and scientific contexts. It examines how the importance of ordering liturgical time by means of a calendar that comprised both solar and lunar components posed a technical-astronomical problem to medieval society and details the often sophisticated ways in which computists and churchmen reacted to this challenge. By drawing attention to the numerous connecting paths that existed between calendars and mathematical astronomy between the Fall of Rome and the end of the fifteenth century, the volume offers substantial new insights on the place of exact science in medieval culture.

Calendar and Community traces the development of the Jewish calendar from its origins until it reached, in the tenth century CE, its present form. Drawing on a wide range of often neglected sources - literary, documentary, epigraphic, Jewish, Graeco-Roman and Christian - it is the first comprehensive work to have been written on the subject.It will be useful not only to historians and epigraphists for the interpretation of early Jewish datings, but also as a historical study of early Judaism in its own right. Its main theme is that the Jewish calendar evolved in the course of this period from considerable diversity (with a variety of solar and lunar calendars) to unity (with the normative rabbinic calendar). The unification of the calendar was one element in the unification of Jewish identity in later antiquity and the earlymedieval world.

Science and Confucian Statecraft in East Asia explores science and technology as practiced in the governments of premodern China and Korea. Contrary to the stereotypical image of East Asian bureaucracy as a generally negative force having hindered free enquiries and scientific progress, this volume offers a more nuanced picture of how science and technology was deployed in the service of state governance in East Asia. Presenting richly documented cases of the major state-sponsored sciences, astronomy, medicine, gunpowder production, and hydraulics, this book illustrates how rulers’ and scholar-officials’ concern for efficient and legitimate governance shaped production, circulation, and application of natural knowledge and useful techniques. Contributors include: Francesca Bray, Christopher Cullen, Asaf Goldschmidt, Cho-ying Li, Jongtae Lim, Peter Lorge, Joong-Yang Moon, Kwon soo Park, Dongwon Shin, Pierre-Étienne Will

The book offers a conception of philosophy as a form of self-enquiry which begins not in reflection, but in silence and meditation, conceived as conditions for the emergence and cessation of contending states of mind which influence perception and action. The philosopher thus becomes a kind of cartographer of a shifting interior landscape. This underlying perspective explains the personal nature of the writing and its mixing of genres. The book draws on both the Greek and Buddhist traditions, recognising that it is time for Western thinkers to acknowledge and respond to an intercultural canon. It aims to integrate ethics and a non-theistic philosophy of religion through the medium of aesthetics, mapping Buddhist 'mindfulness' and the Greek virtues and vices of temperance and licentiousness, continence and incontinence, onto an account of the development of moral sentiments and their relation to practical judgement in the context of oppressive political and social realities.