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
