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Heavenly Harmonies
A history of the development of harmony in the Middle Ages, including the music, composers, theorists and music theory, musicians, and relevant historical figures, as well as studies of folk music, medieval chant, and polyphony from the days of Gregorian chant to the florid polyphony of the early Renaissance.
Sung Birds
Is birdsong music? The most frequent answer to this question in the Middle Ages was resoundingly "no." In Sung Birds, Elizabeth Eva Leach traces postmedieval uses of birdsong within Western musical culture. She first explains why such melodious sound was not music for medieval thinkers and then goes on to consider the ontology of music, the significance of comparisons between singers and birds, and the relationship between art and nature as enacted by the musical performance of late-medieval poetry. If birdsong was not music, how should we interpret the musical depiction of birdsong in human music-making? What does it tell us about the singers, their listeners, and the moral status of secula...
Early Music History: Volume 22
Early Music History is devoted to the study of music from the early Middle Ages to the end of the seventeenth century and includes manuscript studies, textual criticism, iconography, studies of the relationship between words and music, and the relationship between music and society. Articles in volume 22 include: O Quelle Armonye: dialogue singing in late Renaissance France; Ars Subtilior and the patronage of French princes; Laboring in the midst of wolves: reading a group of Fauvel motets; Watermarks and musicology: the genesis of Johannes Wiser's collection.
Jean Leray ’99 Conference Proceedings
This volume contains papers presented at the first conference held to honor the memory of, arguably, the greatest mathematician of the twentieth century, Jean Leray. Contributors from all over the world have submitted their work to be included in this unique collection, and it reflects the esteem in which Jean Leray was, and still is held. The book is divided into five parts: hyperbolic systems and equations; symplectic mechanics and geometry; sheaves and spectral sequences; elliptic operators and index theory; and mathematical physics. This volume will appeal to all those who acknowledge the value of Jean Leray's work in general, and students and researchers interested in analysis, topology and geometry, mathematical physics, classical mechanics and fluid mechanics and dynamics in particular.
Partial Differential Equations and Mathematical Physics
The 17 invited research articles in this volume, all written by leading experts in their respective fields, are dedicated to the great French mathematician Jean Leray. A wide range of topics with significant new results---detailed proofs---are presented in the areas of partial differential equations, complex analysis, and mathematical physics. Key subjects are: * Treated from the mathematical physics viewpoint: nonlinear stability of an expanding universe, the compressible Euler equation, spin groups and the Leray--Maslov index, * Linked to the Cauchy problem: an intermediate case between effective hyperbolicity and the Levi condition, global Cauchy--Kowalewski theorem in some Gevrey classes...
Hyperbolic Differential Operators And Related Problems
Presenting research from more than 30 international authorities, this reference provides a complete arsenal of tools and theorems to analyze systems of hyperbolic partial differential equations. The authors investigate a wide variety of problems in areas such as thermodynamics, electromagnetics, fluid dynamics, differential geometry, and topology. Renewing thought in the field of mathematical physics, Hyperbolic Differential Operators defines the notion of pseudosymmetry for matrix symbols of order zero as well as the notion of time function. Surpassing previously published material on the topic, this text is key for researchers and mathematicians specializing in hyperbolic, Schrödinger, Einstein, and partial differential equations; complex analysis; and mathematical physics.
It's Good to Tell You
The stories told in this book, like the stories on television, illustrate the triumph of good over evil; the rewards of heroism and virtue; and the endurance of the human spirit when faced with tragedy and catastrophe. In addition, these fairy tales offer the thrills of exotic settings and of exciting adventures. They are spiced with humor, both focused and broad. Like other traditional stories, they provide an interesting mirror of cultural values that indicate western European influence. There is evidence that these tales and their direct ancestors have evolved from the ancient Sanskrit and Persian cultures to the European Middle Ages, from the Age of Enlightenment to the nineteenth and twentieth centuries, wherever oral cultures had flourished. We held our first interviews in the summer of 1977, after we decided that we would offer that September a free class for anyone who wanted to learn or to relearn the Old Mines French dialect. The purpose of the interviews was to enable us to find material for these lessons. We sought out people who spoke French in the Old Mines area and conversed with them in French, as well as was possible.
A Companion to Alain Chartier (c.1385-1430)
In Alain Chartier: Père de l’éloquence française contributors explore the diverse literary production of this influential late-medieval writer, whose concern with personal and political ethics and renovation of poetic form inspired generations of writers, and still resonate with modern readers.
Partial Differential Equations and Mathematical Physics
The 17 invited research articles in this volume, all written by leading experts in their respective fields, are dedicated to the great French mathematician Jean Leray. A wide range of topics with significant new results---detailed proofs---are presented in the areas of partial differential equations, complex analysis, and mathematical physics. Key subjects are: * Treated from the mathematical physics viewpoint: nonlinear stability of an expanding universe, the compressible Euler equation, spin groups and the Leray--Maslov index, * Linked to the Cauchy problem: an intermediate case between effective hyperbolicity and the Levi condition, global Cauchy--Kowalewski theorem in some Gevrey classes...
