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Book Categories |
Preface | ||
I | Electromagnetism | 1 |
1 | Maxwell's Equations | 3 |
2 | Manifolds | 15 |
3 | Vector Fields | 23 |
4 | Differential Forms | 39 |
5 | Rewriting Maxwell's Equations | 69 |
6 | DeRham Theory in Electromagnetism | 103 |
II | Gauge Fields | 159 |
1 | Symmetry | 161 |
2 | Bundles and Connections | 199 |
3 | Curvature and the Yang-Mills Equation | 243 |
4 | Chern-Simons Theory | 267 |
5 | Link Invariants from Gauge Theory | 291 |
III | Gravity | 363 |
1 | Semi-Riemannian Geometry | 365 |
2 | Einstein's Equation | 387 |
3 | Lagrangians for General Relativity | 397 |
4 | The ADM Formalism | 413 |
5 | The New Variables | 437 |
Index | 457 |
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