Geometry of Vector Sheaves: An Axiomatic Approach to Differential Geometry
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This text is part of a two-volume monograph which 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.
Format:Hardcover
Language:English
ISBN:0792350049
ISBN13:9780792350040
Release Date:February 1998
Publisher:Kluwer Academic Publishers
Length:462 Pages
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