Preface Ⅰ Electromagnetism 1 Maxwell's Equations 2 Manifolds 3 Vector Fields 4 Differential Forms 5 Rewriting Maxwell's Equations 6 DeRham Theory in Electromagnetism Notes to Part Ⅰ Ⅱ Gauge Fields 1 Symmetry 2 Bundles and Connections 3 Curvature and the Yang-Mills Equation 4 Chern-Simons Theory 5 Link Invariants from Gauge Theory Notes to Part Ⅱ Ⅲ Gravity 1 Semi-Riemannian Geometry 2 Einstein's Equation 3 Lagrangians for General Relativity 4 The ADM Formalism 5 The New Variables Notes to Part Ⅲ Index
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