Geometry of Vector Sheaves

Geometry of Vector Sheaves
Author :
Publisher : Springer Science & Business Media
Total Pages : 468
Release :
ISBN-10 : 0792350049
ISBN-13 : 9780792350040
Rating : 4/5 (49 Downloads)

Book Synopsis Geometry of Vector Sheaves by : Anastasios Mallios

Download or read book Geometry of Vector Sheaves written by Anastasios Mallios and published by Springer Science & Business Media. This book was released on 1998 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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