| 書目名稱 | Modern Differential Geometry in Gauge Theories | | 副標(biāo)題 | Maxwell Fields, Volu | | 編輯 | Anastasios Mallios | | 視頻video | http://file.papertrans.cn/638/637098/637098.mp4 | | 概述 | Original, well-written work of interest.Presents for the first time (physical) field theories written in sheaf-theoretic language.Contains a wealth of minutely detailed, rigorous computations, ususall | | 圖書封面 |  | | 描述 | .Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author’s perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus (smoothness). Instead, an axiomatic treatment of differential geometry is presented via sheaf theory (geometry) and sheaf cohomology (analysis). Using vector sheaves, in place of bundles, based on arbitrary topological spaces, this unique approach in general furthers new perspectives?and calculations?that generate unexpected potential applications....Modern Differential Geometry in Gauge Theories. is a two-volume research monograph that systematically applies a sheaf-theoretic approach to such physical theories as gauge theory. Beginning with Volume 1, the focus is on Maxwell fields. Continuing in Volume 2, this sheaf-theoretic approach is applied to Yang–Mills fields in general. Thetext contains a wealth of detailed and rigorous computations and will appeal to mathematicians and physicists, along with advanced undergraduate and graduate students, interested in applications of differential geometry to physical the | | 出版日期 | Book 2006 | | 關(guān)鍵詞 | Electromagnetism; Gauge theory; Particle Physics; Potential; Smooth function; calculus; differential equat | | 版次 | 1 | | doi | https://doi.org/10.1007/0-8176-4474-1 | | isbn_softcover | 978-0-8176-4378-2 | | isbn_ebook | 978-0-8176-4474-1 | | copyright | Birkh?user Boston 2006 |
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