Geometry of Vector Sheaves

Released on by Anastasios Mallios
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  • Geometry of Vector Sheaves Book Detail

  • Author : Anastasios Mallios
  • Release Date : 1998
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 468
  • ISBN 13 : 9780792350040
  • File Size : 77,77 MB
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Geometry of Vector Sheaves by Anastasios Mallios PDF Summary

Book Description: 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.

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Geometry of Vector Sheaves

Geometry of Vector Sheaves

File Size : 92,92 MB
Total View : 4217 Views
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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 usi

Geometry of Vector Sheaves

Geometry of Vector Sheaves

File Size : 96,96 MB
Total View : 5724 Views
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This two-volume monograph obtains fundamental notions and results of the standard differential geometry of smooth (CINFINITY) manifolds, without using different