| 書目名稱 | Towards the Mathematics of Quantum Field Theory | | 編輯 | Frédéric Paugam | | 視頻video | http://file.papertrans.cn/928/927215/927215.mp4 | | 概述 | Introduces new concepts.Provides a clear overview.Gives a complete mathematical toolbox for the coordinate-free treatment of classical and quantum field theories.Includes supplementary material: | | 叢書名稱 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati | | 圖書封面 |  | | 描述 | .This ambitious and original book sets out to introduce to mathematicians (even including graduate students ) the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of the mathematical objects in use. This in turn promotes the interaction between mathematicians and physicists by supplying a common and flexible language for the good of both communities, though mathematicians are the primary target. This reference work provides a coherent and complete mathematical toolbox for classical and quantum field theory, based on categorical and homotopical methods, representing an original contribution to the literature..The first part of the book introduces the mathematical methods needed to work with the physicists‘ spaces of fields, including parameterized and functional differential geometry, functorial analysis, and the homotopical geometric theory of non-linear partial differential equations, with applications togeneral gauge theories. The second part presents a large family of examples of classical field theories, both from experimental and theoretical physics, while the third part provides an introduction to qua | | 出版日期 | Book 2014 | | 關(guān)鍵詞 | 81-02, 81T70, 81T13, 58A03, 58A20, 18-02, 18G55, 81T20, 81T17; category theory; functional analysis; f | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-04564-1 | | isbn_softcover | 978-3-319-37485-7 | | isbn_ebook | 978-3-319-04564-1Series ISSN 0071-1136 Series E-ISSN 2197-5655 | | issn_series | 0071-1136 | | copyright | Springer International Publishing Switzerland 2014 |
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