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Arakelov Geometry and Diophantine Applications
Bridging the gap between novice and expert, the aim of this book is to present in a self-contained way a number of striking examples of current diophantine problems to which Arakelov geometry has been or may be applied. Arakelov geometry can be seen as a link between algebraic geometry and diophantine geometry.The first chapters provide some background and introduction to the subject. These are followed by a presentation of different applications to arithmetic geometry. The final part describes the recent application of Arakelov geometry to Shimura varieties and the proof of an averaged version of Colmez's conjecture. This book thus blends initiation to fundamental tools of Arakelov geometry with original material corresponding to current research.
Applied Mathematics for Database Professionals
The math that you'll learn in this book will put you above the level of understanding of most database professionals today. You'll better understand the technology and be able to apply it more effectively. You'll avoid data anomalies like redundancy and inconsistency. Understanding whats in this book will take your mastery of relational technology to heights you may not have thought possible.
Arts of Allusion : Object, Ornament, and Architecture in Medieval Islam
The art of the object reached unparalleled heights in the medieval Islamic world, yet the deep intellectual dimensions of ceramics, metalwares, and other plastic arts in this milieu have not always been acknowledged. Arts of Allusion reveals the object as a crucial site where premodern craftsmen of the eastern Mediterranean and Persianate realms engaged their creations in fertile dialogue with poetry, literature, painting, and, perhaps most strikingly, architecture. Through close studies of objects from the ninth to the thirteenth centuries, this book reveals that allusions to architecture abound across media in the portable arts of the medieval Islamic world.
