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This text is the first to deal with the general theory of traces and determinants of operators on manifolds in a broad context, encompassing a number of the principle applications and backed up by specific computations which set out in detail to newcomers the nuts-and-bolts of th ...
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This volume is intended to provide an up-to-date survey of the theory of buildings with special emphasis on its interaction with related geometries. It will be of benefit as a guide for all those whose research touches on these themes.
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Basic treatment, specially designed for undergraduates, covers preliminaries (sets, relations, etc.), topological spaces, continuous functions (mappings) and homeomorphisms, special types of topological spaces, metric spaces, more. Geometric and axiomatic approach for easier acce ...
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Excellent text offers comprehensive coverage of elementary general topology as well as algebraic topology, specifically 2-manifolds, covering spaces and fundamental groups. The text is accessible to students at the advanced undergraduate or graduate level who are conversant with ...
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Using a carefully designed instructional model and blackline masters, this series will develop students' critical thinking and problem-solving skills.
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Introduces the basics of K-theory, and explains details of the various concepts encountered en route to a deeper understanding of the subject. Exercises have also been included. Other subjects dealt with include: the classification of extensions of C*-algebras and the functional ...
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Symplectic structures underlie the equations of classical mechanics and their properties are reflected in the behaviour of a wide range of physical systems. This is a comprehensive introduction to the subject. It also includes a discussion of Taubes and Donaldson's contributions ...
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This unique monograph brings together important material in the field of noncommutative rings and modules. It provides an up-to-date account of the topic of cyclic modules and the structure of rings which will be of particular interest to those working in abstract algebra and to ...
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Bundles, connections, metrics & curvature are the lingua franca of modern differential geometry & theoretical physics. Supplying graduate students in mathematics or theoretical physics with the fundamentals of these objects, & providing numerous examples, the book would suit a on ...
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Covering recent developments in the field, this updated text provides an introduction to the ideas and techniques of differential geometry and topology. In this edition, the applications have been greatly expanded and additional problems have been included. The author examines an ...
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