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Based on a graduate course at the Technische Universität, Berlin, these lectures present a wealth of material on the modern theory of convex polytopes. The straightforward exposition features many illustrations, and complete proofs for most theorems. With only linear algebra as a prerequisite, it takes the reader quickly from the basics to topics of recent research. The lectures introduce basic facts about polytopes, with an emphasis on methods that yield the results, discuss important examples and elegant constructions, and show the excitement of current work in the field. They will provide interesting and enjoyable reading for researchers as well as students.
The virtual obliteration of national boundaries, accompanied by the effective shrinking of the world, has given rise to a dramatic increase in the number of transnational criminal cases and an evident increase in the sophistication of international criminals. This collection of essays, written by practitioners directly involved with the emerging issues, presents the reader with international crime developments. It offers a foundation for continued discussion in this emerging field, and should be of interest to all those practising in transnational and international law.
Beginning with the origins of their population in the seventeenth and eighteenth centuries, the author traces the Scotch-Irish development from Lowland Scotland to Northern Ireland to the American colonies. Arriving in the East, the Scotch-Irish were characterized by other colonists as being fiery tempered, stubborn, hard drinking, and very religious, and they quickly made lasting impressions. Though the Scotch-Irish were in the minority, they managed to impact history. Most notably, they introduced the appeals system and the checks and balances system.
The Army is much more than a job. It is a way of life, often boring and frustrating, frequently difficult and dangerous, but by far great fun with energetic, well-motivated people and lifelong friendships. Down Among the Weeds is one such story, detailing Harry Beaves’ journey, from joining the Royal Military Academy, Sandhurst in 1966 to the consequences of retiring from Army life and the hardships he had to conquer. With humour, the author recalls how dull garrison life could be, and how he and his contemporaries channelled their energies into escapades which often crossed the blurred line between mischief and trouble. The narrative flips dramatically from light to dark when his regiment...
Topics in Hyperplane Arrangements, Polytopes and Box-Splines brings together many areas of research that focus on methods to compute the number of integral points in suitable families or variable polytopes. The topics introduced expand upon differential and difference equations, approximation theory, cohomology, and module theory. This book, written by two distinguished authors, engages a broad audience by proving the a strong foudation. This book may be used in the classroom setting as well as a reference for researchers.
This volume contains original research and survey articles stemming from the Euroconference ``Algebraic and Geometric Combinatorics''. The papers discuss a wide range of problems that illustrate interactions of combinatorics with other branches of mathematics, such as commutative algebra, algebraic geometry, convex and discrete geometry, enumerative geometry, and topology of complexes and partially ordered sets. Among the topics covered are combinatorics of polytopes, lattice polytopes, triangulations and subdivisions, Cohen-Macaulay cell complexes, monomial ideals, geometry of toric surfaces, groupoids in combinatorics, Kazhdan-Lusztig combinatorics, and graph colorings. This book is aimed at researchers and graduate students interested in various aspects of modern combinatorial theories.