Traces the achievements of medieval Pope Sylvester II, revealing his lesser-known role in promoting scientific awareness throughout turn-of-the-first-millennium Catholicism, in a report that includes coverage of his humble origins and introduction of Arabic numerals to Europe.
The medieval Catholic Church, widely considered a source of intolerance and inquisitorial fervor, was not anti-science during the Dark Ages -- in fact, the pope in the year 1000 was the leading mathematician and astronomer of his day. Called "The Scientist Pope," Gerbert of Aurillac rose from peasant beginnings to lead the church. By turns a teacher, traitor, kingmaker, and visionary, Gerbert is the first Christian known to teach math using the nine Arabic numerals and zero. In The Abacus and the Cross, Nancy Marie Brown skillfully explores the new learning Gerbert brought to Europe. A fascinating narrative of one remarkable math teacher, The Abacus and the Cross will captivate readers of history, science, and religion alike.
By now a classic, it presents in a single volume a coherent overall view of the history and the changing character of Early Christian and Byzantine architecture, from Rome and Milan to North Africa, from Constantinople to Greece and the Balkans, and from Egypt and Jerusalem to the villages and monasteries of Syria, Asia Minor, Armenia, and Mesopotamia.
This volume, the third by Charles Burnett in the Variorum series, brings together articles on the different numeral forms used in the Middle Ages, and their use in mathematical and other contexts. Some pieces study the introduction of Hindu-Arabic numerals into Western Europe, documenting, in more detail than anywhere else, the different forms in which they are found, before they acquired the standard shapes with which we are familiar today. Others deal with experiments with other forms of numeration within Latin script: e.g., using the first nine Roman numerals as symbols with place value, abbreviating the Roman numerals, and using the Latin letters as numerals. The author discusses how different types of numerals are used for different purposes, and the application of numerals to the abacus, and to calculation with pen and ink. The studies include the critical edition of several Latin texts.
Empirical evidence for the value of a liberal arts education: how and why it has a lasting impact on success, leadership, altruism, learning, and fulfillment. In ongoing debates over the value of a college education, the role of the liberal arts in higher education has been blamed by some for making college expensive, impractical, and even worthless. Defenders argue that liberal arts education makes society innovative, creative, and civic-minded. But these qualities are hard to quantify, and many critics of higher education call for courses of study to be strictly job-specific. In this groundbreaking book, Richard Detweiler, drawing on interviews with more than 1,000 college graduates aged 25 to 65, offers empirical evidence for the value of a liberal arts education. Detweiler finds that a liberal arts education has a lasting impact on success, leadership, altruism, learning, and fulfillment over a lifetime. Unlike other defenders of a liberal arts education, Detweiler doesn’t rely on philosophical arguments or anecdotes but on data. He developed a series of interview questions related to the content attributes of liberal arts (for example, course assignments and majors), the context attributes (out-of-class interaction with faculty and students, teaching methods, campus life), and the purpose attributes (adult life outcomes). Interview responses show that although both the content of study and the educational context are associated with significant life outcomes, the content of study has less relationship to positive adult life outcomes than the educational context. The implications of this research, Detweiler points out, range from the advantages of broadening areas of study to factors that could influence students’ decisions to attend certain colleges.