This is a self-contained exposition of general relativity with emphasis given to tetrad and spinor structures and physical measurement on curved manifolds.

Geometry and physics: an overview; 1. The background manifold structure; 2. Differentiation; 3. The curvature; 4. Space-time and tetrad formalism; 5. Spinors and the classification of the Weyl tensor; 6. Coupling between fields and geometry; 7. Dynamics on curved manifolds; 8. Geometry of congruences; 9. Physical measurements in space-time; 10. Spherically symmetric solutions; 11. Axially symmetric solutions; References; Notation; Index.