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Noether's Theorems : Applications in Mechanics and Field Theory / by Gennadi Sardanashvily
(Atlantis Studies in Variational Geometry. ISSN:22140719 ; 3)
版 | 1st ed. 2016. |
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出版者 | (Paris : Atlantis Press : Imprint: Atlantis Press) |
出版年 | 2016 |
大きさ | XVII, 297 p : online resource |
著者標目 | *Sardanashvily, Gennadi author SpringerLink (Online service) |
件 名 | LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Mechanics LCSH:Mathematical physics FREE:Global Analysis and Analysis on Manifolds FREE:Classical Mechanics FREE:Mathematical Physics |
一般注記 | Calculus of variations on fibre bundles -- Noether’s first theorem -- Lagrangian and Hamiltonian field theories -- Lagrangian and Hamiltonian nonrelativistic mechanics -- Global Kepler problem -- Calculus of variations on graded bundles -- Noether’s second theorems -- Yang–Mills gauge theory on principal bundles -- SUSY gauge theory on principal graded bundles -- Gauge gravitation theory on natural bundles -- Chern–Simons topological field theory -- Topological BF theory The book provides a detailed exposition of the calculus of variations on fibre bundles and graded manifolds. It presents applications in such area's as non-relativistic mechanics, gauge theory, gravitation theory and topological field theory with emphasis on energy and energy-momentum conservation laws. Within this general context the first and second Noether theorems are treated in the very general setting of reducible degenerate graded Lagrangian theory HTTP:URL=https://doi.org/10.2991/978-94-6239-171-0 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9789462391710 |
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電子リソース |
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EB00204658 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA614-614.97 DC23:514.74 |
書誌ID | 4000116932 |
ISBN | 9789462391710 |
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※2017年9月4日以降