Baez J.C., Muniain J.P. Gauge Fields, Knots, and Gravity

World Scientific Pub, 1994. — 480 Pages.From Scientific American "The book is clearly written and should be accessible to readers who have a good undergraduate preparation in mathematics or physics. Each part of the book ends with a list of references that will enable the reader to pursue the material presented in greater detail."Electromagnetism
Maxwell's Equations
Manifolds
Vector Fields
Differential Forms
Rewriting Maxwell's Equations
DeRham Theory in Electromagnetism
Notes to Part I
Gauge Fields
Symmetry
Bundles and Connections
Curvature and the Yang-Mills Equation
Chern-Simons Theory
Link Invariants from Gauge Theory
Notes to Part II
Gravity
Semi-Riemannian Geometry
Einstein's Equation
Lagrangians for General Relativity
The ADM Formalism
The New Variables
Notes to Part III