| 书目名称 | Topology, Geometry and Gauge fields | | 副标题 | Foundations | | 编辑 | Gregory L. Naber | | 视频video | | | 概述 | Detailed calculations of a number of concrete examples.Written for both mathematicians who want to see something of the applications of topology and geometry to modern physics.Written for physicists w | | 丛书名称 | Texts in Applied Mathematics | | 图书封面 |  | | 描述 | This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathematical models of these notions. We ask the reader to come to us with some vague notion of what an electromagnetic field might be, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. To such a reader we offer an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) connections on S4 with instanton number -1. Iwould go over both volumes thoroughly and make some minor changes in terminology and notation and correct any errors I find.In this new edition, a chapter on Singular | | 出版日期 | Textbook 2011Latest edition | | 关键词 | Connections; Curvature; Gauge Fields; Homology; Homotopy; Instantons; Lie Groups; Magnetic Monopoles; Manifo | | 版次 | 2 | | doi | https://doi.org/10.1007/978-1-4419-7254-5 | | isbn_softcover | 978-1-4614-2682-0 | | isbn_ebook | 978-1-4419-7254-5Series ISSN 0939-2475 Series E-ISSN 2196-9949 | | issn_series | 0939-2475 | | copyright | Springer Science+Business Media, LLC 2011 |
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发表于 2025-3-21 18:23:54
