| 《数学物理的几何方法(英文版)》是由世界图书出版公司出版的。 |
| 1 Some basic mathematics 1.1 The space Rn and its topology 1.2 Mappings 1.3 Real analysis 1.4 Group theory 1.5 Linear algebra 1.6 The algebra of square matrices 1.7 Bibliography 2 Dffferentiable manifolds and tensors 2.1 Def'mition of a manifold 2.2 The sphere as a manifold 2.3 Other examples of manifolds 2.4 Global considerations 2.5 Curves 2.6 Functions on M 2.7 Vectors and vector fields 2.8 Basis vectors and basis vector fields 2.9 Fiber bundles 2.10 Examples of fiber bundles 2.11 A deeper look at fiber bundles 2.12 Vector fields and integral curves 2.13 Exponentiation of th |
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