Geometry of Vector Sheaves
An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications
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 syst…
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Produktdetails
- ISBN: 978-94-010-6102-5
- EAN: 9789401061025
- Produktnummer: 15595912
- Verlag: Springer Netherlands
- Sprache: Englisch
- Erscheinungsjahr: 2012
- Seitenangabe: 468 S.
- Masse: H24.0 cm x B16.0 cm x D2.5 cm 742 g
- Auflage: Softcover reprint of the original 1st ed. 1998
- Abbildungen: Paperback
- Gewicht: 742
11 weitere Werke von Anastasios Mallios:
Geometry of Vector Sheaves
An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications
An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications
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