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Geometric Dynamics
The theme of this text is the philosophy that any particle flow generates a particle dynamics, in a suitable geometrical framework. It covers topics that include: geometrical and physical vector fields; field lines; flows; stability of equilibrium points; potential systems and catastrophe geometry; field hypersurfaces; bifurcations; distribution orthogonal to a vector field; extrema with nonholonomic constraints; thermodynamic systems; energies; geometric dynamics induced by a vector field; magnetic fields around piecewise rectilinear electric circuits; geometric magnetic dynamics; and granular materials and their mechanical behaviour. The text should be useful for first-year graduate students in mathematics, mechanics, physics, engineering, biology, chemistry, and economics. It can also be addressed to professors and researchers whose work involves mathematics, mechanics, physics, engineering, biology, chemistry, and economics.
Convex Functions and Optimization Methods on Riemannian Manifolds
The object of this book is to present the basic facts of convex functions, standard dynamical systems, descent numerical algorithms and some computer programs on Riemannian manifolds in a form suitable for applied mathematicians, scientists and engineers. It contains mathematical information on these subjects and applications distributed in seven chapters whose topics are close to my own areas of research: Metric properties of Riemannian manifolds, First and second variations of the p-energy of a curve; Convex functions on Riemannian manifolds; Geometric examples of convex functions; Flows, convexity and energies; Semidefinite Hessians and applications; Minimization of functions on Riemannia...
Historic Cities and Sacred Sites
This book contributes to a better understanding of why historic cities and sacred sites are important, and how cultural roots may influence and improve urban futures. It emphasises the need to include social and cultural dimensions in economic development and offers cases of best practice.
50 Forgotten Macedonian Folk Songs
A collection of 50 old Macedonian folk songs with newly composed melodies. The songs' lyrics primarily come from Dimitar and Konstantin Miladinov, two brothers who traveled Macedonia in the mid-19th century to collect and jot down these songs. However, the brothers did not notate the melodies that accompany these lyrics. Sinadinoski created new melodies in the Macedonian folk style and spirit to ensure the lyrics' survival in the collective folk memory of the Macedonian people, and they are a wonderful and enjoyable addition to any folk enthusiast's repertoire. The collection contains melodies in the treble clef, chords, Macedonian lyrics, and English translations.
Place Names of Ross and Cromarty
This early work on Ross and Cromarty is both expensive and hard to find in its first edition. It contains a wealth of information on the history of the area and the meanings of the place names in it. This is a fascinating work and is thoroughly recommended for anyone with an interest in the history of Scotland. Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Byzantium after Byzantium
Although Constantinople fell to the Turks in 1453, bringing an end to the Eastern Roman Empire which had survived its predecessor in the West by nearly one thousand years, this important book argues that Byzantium did not die, but continued to influence European history all the way up to the beginning of the nineteenth century. The author’s formula “Byzantium after Byzantium” defines several centuries of world history. Iorga points out the great contributions of Byzantine civilization to the Western world, especially during the Renaissance. He demonstrates that Byzantium survived through its people and local autonomies, as well as through its exiles. They continued the Byzantine ideas, aspirations, education, and way of life. All of this allows us to speak of a Byzantium after Byzantium.
Kiklop
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The Byzantine Commonwealth
This text is a historical account of the political, diplomatic, ecclesiastical, economic and cultural relations between the Byzantine Empire and the peoples of Eastern Europe. It shows that these nations came to share a common cultural tradition.
