| 书目名称 | Geometry of Vector Sheaves | | 副标题 | An Axiomatic Approac | | 编辑 | Anastasios Mallios | | 视频video | | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | This two-volume monograph obtains fundamental notions andresults of the standard differential geometry of smooth(C.INFINITY.) manifolds, without using differentialcalculus. Here, the sheaf-theoretic character is emphasised. This hastheoretical advantages such as greater perspective, clarity andunification, but also practical benefits ranging from elementaryparticle 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 theclassical sense, can be coped with. The treatise might also beconstrued as a new systematic endeavour to confront theever-increasing notion that the `world around us is far from beingsmooth enough‘. ..Audience:. This work is intended for postgraduate students andresearchers whose work involves differential geometry, globalanalysis, analysis on manifolds, algebraic topology, sheaf theory,cohomology, functional analysis or abstract harmonic analysis. | | 出版日期 | Book 1998 | | 关键词 | Algebraic topology; Characteristic class; abstract harmonic analysis; cohomology; curvature; differential | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-011-5006-4 | | isbn_softcover | 978-94-010-6102-5 | | isbn_ebook | 978-94-011-5006-4 | | copyright | Springer Science+Business Media Dordrecht 1998 |
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发表于 2025-3-21 20:00:56
