Chapters: 1. Preliminaries. Supplement: Preliminaries.
2. Convex Bodies and Lattice Points. Supplement: Fundamental Theorems. Lattice Polytopes. Large Convex Bodies. Reduction Theory. Tiling.
3. The Critical Determinant, The Covering Constant and the Inhomogeneous Determinant of a Set. Supplement: Suprema and Infima over Lattices. Packing. Covering.
4. Star Bodies. Supplement: Boundary Lattice Points.
5. Some Methods. Note.
6. Homogeneous Forms. Supplement: Packing of Balls. Extreme Forms. Zeta-Functions. Homogeneous Minima.
7. Inhomogeneous Forms. Supplement: Covering with Balls. Product of Inhomogeneous Linear Forms. Inhomogeneous Forms. Geometry of Numbers in Other Spaces.