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Alexandrov spaces are defined via axioms similar to those of the Euclid axioms but where certain equalities are replaced with inequalities. Depending on the signs of the inequalities, we obtain Alexandrov spaces with curvature bounded above (CBA) and curvature bounded below (CBB). Even though the definitions of the two classes of spaces are similar, their properties and known applications are quite different. The goal of this book is to give a comprehensive exposition of the structure theory of Alexandrov spaces with curvature bounded above and below. It includes all the basic material as well as selected topics inspired by considering Alexandrov spaces with CBA and with CBB simultaneously. The book also includes an extensive problem list with solutions indicated for every problem.
Leading experts across smooth dynamics and ergodic theory present a broad research perspective and set an agenda for future work.
Dear Friends, It seems like it was only yesterday that we drove the last of you to the airport. The memories and the spirit of the Scientific Detectors for Astronomy Workshop (SDW2002) remain fresh and strong. For us, this was a very special event, a great gathering of what may be one of the friendliest and most cooperative technical communities on our little planet. We have tried to capture the spirit of the Workshop in these Proceedings and we hope you are able to relive your week in Hawaii. For those readers who did not attend, we invite you into this community. As you probably noticed, there is a new name on the cover: Jenna Beletic was the ace up our sleeve for these Proceedings. As a s...
This text is the second of three volumes written by Colonel Glantz on the contribution of intelligence and deception operations to the Soviet victory over Nazi Germany. It examines the area where intelligence and operations overlap; the nature of co-ordination between the two; and the support provided by intelligence to operational planning and execution (or the absence of such support). This is not a study of intelligence work as such, but of how intelligence can improve the chances of success on the battlefield by facilitating the more effective and economical use of troops.
For almost 70 years Soviet and Russian military theorists have been fascinated with the concept of airborne operations. Now Russian theorists tackle the problems posed to such operations by high-precision weaponry. This work, using newly released and formerly classified Soviet and East German archives, provides a detailed record of the performance of Soviet airborne forces during peace and war.
Archaeological Concepts, Techniques, and Terminology for American Prehistory Lithic Technology by Wm Jack Hranicky is a 600-page comprehensive publication that encompasses the study of American prehistoric stone tools and implements. It is a look-up volume for studying the material culture of prehistoric people and using its concepts and methods for researching this aspect of archaeology. There are over 3000 entries which are defined and illustrated. It also has an extensive set of references and an overview for the study of stone tools.
As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. Including a wealth of fascinating examples in physics, it offers not only an excellent selection of basic topics, but also an introduction to a number of current areas of research in the field of classical mechanics. Thanks to the didactic structure and concise appendices, the presentation is self-contained and requires only knowledge of the basic courses in mathematics. The book addresses the needs of graduate and senior undergraduate students in mathematics and physics, and of researchers interested in approaching classical mechanics from a modern point of view.
The latest developments on both the theory and applications of bifurcations with symmetry. The text includes recent experimental work as well as new approaches to and applications of the theory to other sciences. It shows the range of dissemination of the work of Martin Golubitsky and Ian Stewart and its influence in modern mathematics at the same time as it contains work of young mathematicians in new directions. The range of topics includes mathematical biology, pattern formation, ergodic theory, normal forms, one-dimensional dynamics and symmetric dynamics.