  These lecture notes provide some introduction to the 3+1 formalism of general
relativity, which is the foundation of most modern numerical relativity. The
text is rather self-contained, with detailed calculations and numerous
examples. Contents: 1. Introduction, 2. Geometry of hypersurfaces, 3. Geometry
of foliations, 4. 3+1 decomposition of Einstein equation, 5. 3+1 equations for
matter and electromagnetic field, 6. Conformal decomposition, 7. Asymptotic
flatness and global quantities, 8. The initial data problem, 9. Choice of
foliation and spatial coordinates, 10. Evolution schemes.

General Relativity and Quantum Cosmology;Astrophysics;Differential Geometry