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Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
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Geometry of Vector Sheaves - An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications (Paperback, Softcover reprint of the original 1st ed. 1998)
Loot Price: R3,273
Discovery Miles 32 730
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Geometry of Vector Sheaves - An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications (Paperback, Softcover reprint of the original 1st ed. 1998)
Series: Mathematics and Its Applications, 439
Expected to ship within 10 - 15 working days
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This two-volume monograph obtains fundamental notions and results
of the standard differential geometry of smooth (CINFINITY)
manifolds, without using differential calculus. Here, the
sheaf-theoretic character is emphasised. 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). 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'. Audience: 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.
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