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[图书类] [PDF] [] 《物理学家用微分几何》(The Geometry of Physics)扫描第二版[PDF][驴链]-->中文名: 物理学家用微分几何 原名: The Geometry of Physics 作者: Frankel 汪容 侯伯元 侯伯宇 图书分类: 科技 资源格式: PDF 版本: 扫描第二版 出版社: Cambridge 书号: 978-0-521-83330-1 发行时间: 2004年 地区: 英国 语言: 英文 简介: djvu 阅读器: http://windjview.sourceforge.net/ 内容简介: 本书试图提供外微分形式、微分几何、代数拓扑、微分拓扑、李群、向量丛、Chern公式等前沿知识,它们对于深入理解经典物理、现代物理以及工程都是必需的。其中包含解析动力学、流体动力学、电磁学(在平坦空间和弯曲空间)、热力学、弹性理论、Kirchhoff电路定律的几何及拓扑、肥皂泡薄膜、狭义相对论和广义相对论、Dirac算子和旋量、Yang-Mills规范场、Aharonov-Bohm效应、Berry相、瞬子绕数、夸克、介子的夸克模型。在讨论抽象的微分几何概念前,通过大量的关于常规空间中曲面的研究培养几何直观,因此,学数学的学生对此书也会很感兴趣。 本书对于物理、工程、数学的高年级学生和研究生是非常有益的,可供他们作为自学教材。 内容截图: 目录: preface to the second edition perface to the revised printing perface to the first edition Ⅰ Manifolds, Tensors, and Exterior Forms 1 Manifolds and Vector Fields 3 2 Tensors and Exterior Forms 37 3 Integration of Differential Forms 95 4 The Lie Derivative 125 5 The Poincaré Lemma and Potentials 155 6 Holonomic and Nonholonomic Constraints 165 Ⅱ Geometry and Topology 7 R3 and Minkowski Space 191 8 The Geometry of Surfaces in R3 201 9 Covariant Differentiation and Curvature 241 10 Geodesics 269 11 Relativity, Tensors, and Curvature 291 12 Curvature and Topology: Synge’s Theorem 323 13 Betti Numbers and De Rham’s Theorem 333 14 Harmonic Forms 361 Ⅲ Lie Groups, Bundles, and Chern Forms 15 Lie Groups 391 16 Vector Bundles in Geometry and Physics 413 17 Fiber Bundles, Gauss\|Bonnet, and Topological Quantization 451 18 Connections and Associated Bundles 475 19 The Dirac Equation 491 20 Yang\|Mills Fields 523 21 Betti Numbers and Covering Spaces 561 22 Chern Forms and Homotopy Groups 583 ed2k://|file|Frankel.T..The.geometry.of.physics..an.introduction%2C.2ed%2C.CUP%2C.2004.pdf|17378034|615641f4c9be7a5e3dea7c4087919367|h=apkzcs24qk5msspsfotdyopmgoghfm5m|/ ed2k://|file|%E6%95%B0%E5%AD%A6%E7%89%A9%E7%90%86%E4%B8%AD%E7%9A%84.%E5%BE%AE%E5%88%86%E5%87%A0%E4%BD%95.%E4%B8%8E.%E6%8B%93%E6%89%91%E5%AD%A6%2C.%E6%B1%AA%E5%AE%B9%2C.%E6%B5%99%E6%B1%9F%E5%A4%A7%E5%AD%A6%E5%87%BA%E7%89%88%E7%A4%BE%2C.2010.djvu|3020023|ffba339a5624cb43779170086db8bead|h=5yhgbmvympm3b672dtjeqqpz67l5lc5h|/ ed2k://|file|%E7%89%A9%E7%90%86%E5%AD%A6%E5%AE%B6%E7%94%A8.%E5%BE%AE%E5%88%86%E5%87%A0%E4%BD%95%2C.%E4%BE%AF%E4%BC%AF%E5%85%83%2C.%E4%BE%AF%E4%BC%AF%E5%AE%87%2C.2ed%2C.%E7%A7%91%E5%AD%A6%E5%87%BA%E7%89%88%E7%A4%BE%2C.2004.djvu|14180721|6830257dbe97531677ab4e744b9a1b1f|h=pipl4yjvsl6mav2wigfmpbgojzxea2yl|/ ed2k://|file|Foundations.of.Geometry%2C.Gerard.Venema%2C.2ed%2C.Pearson%2C.2012.pdf|3123604|147dad30c3e6b08b9ebe533707d6036f|h=cdrnlzwvcrj7h6m53kb4bnid7sfcdpgq|/ ed2k://|file|Self-Dual.Chern-Simons.Theories%2C.Gerald.Dunne%2C.LNP.m36%2C.Springer%2C.1995.djvu|4154944|71e26ff2685ff3cd4e154aca477296d1|h=ww3ef4x2aoxizk7ekmjiobqobxrqugus|/ ed2k://|file|Knots.and.Quantum.Gravity%2C.John.C..Baez%2C.ed..OUP%2C.1994.pdf|1795874|93c788aa3305696b596d2501a904428b|h=4h6a5ht2fmcaegy7h2r7neyxjfeinaml|/
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发帖时间:2012-09-05 17:25:37 |
回复数:2
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jerome2
江湖小虾
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2012-9-7
#2楼
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jjjxzq
无名小卒
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2013-1-14
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游客组
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