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Overview"This two-volume monograph obtains fundamental notions and results of the standard differential geometry of smooth manifolds, without using differential calculus. Here, the sheaf-theoretic character is emphasized. This has theoretical advantages such as greater perspective, clarity and unification, but also practical benefits ranging from elementary particle physics, via gauge theories and theoretical cosmology (""differential spaces""), to non-linear PDEs (generalized functions). Thus, more general applications, which are no longer ""smooth"" in the classical sense, can be coped with. The treatise might also be construed as a new systematic endeavour to confront the ever-increasing notion that the ""world around us is far from being smooth enough"". This work is intended for postgraduate students and researchers whose work involves differential geometry, global analysis, analysis on manifolds, algebraic topology, sheaf theory, cohomology, functional analysis or abstract harmonic analysis." Full Product DetailsAuthor: Anastasios MalliosPublisher: Springer Imprint: Springer Edition: 1998 Volume: 439 Dimensions: Width: 17.00cm , Height: 2.60cm , Length: 24.40cm Weight: 1.771kg ISBN: 9780792350064ISBN 10: 0792350065 Pages: 438 Publication Date: 30 April 1998 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Out of print, replaced by POD  We will order this item for you from a manufatured on demand supplier. Table of ContentsTwo. Geometry.- VI. Geometry of Vector Sheaves. A-connections.- VII. A-connections. Local Theory.- VIII. Curvature.- IX. Characteristic Classes.- Three. Examples and Applications.- X. Classical Theory.- XI. Sheaves and Presheaves with Topological Algebraic Structures.- Notational Index.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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