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Miscellaneous Series
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Miscellaneous Series
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Morphology, Part III
No detailed description available for "Morphology, Part III".
The Age of the ΔΡΟΜΩΝ
This volume examines the development and evolution of the war galley known as the Dromon, and its relative, the Chelandion, from first appearance in the sixth century until its supercession in the twelfth century by the Galea developed in the Latin West. Beginning as a small, fully-decked, monoreme galley, by the tenth century the Dromon had become a bireme, the pre-eminent war galley of the Mediterranean. The salient features of these ships were their two-banked oarage system, the spurs at their bows which replaced the ram of classical antiquity, their lateen sails, and their primary weapon: Greek Fire. The book contextualizes the technical characteristics of the ships within the operational history of Byzantine fleets, logistical problems of medieval naval warfare, and strategic objectives. Surviving Byzantine sources, especially tactical manuals, are subjected to close literary and philological analysis.
The Arithmetic of Elliptic Curves
The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.
