Geometry of Vector Sheaves an Axiomatic Approach to Differential Geometry
- List Price: $219.00
- Binding: Hardcover
- Publisher: Kluwer Academic Pub
- Publish date: 05/01/1998
Description:
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 (generalised functions). 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.
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