1.The Schwarz lemma and its generalization. 2.Volume elements and the Schwarz lemma. 3.Distance and the Schwarz lemma. 4.Invariant distances on complex manifolds. 5.Holomorphic mapping into hyperbolic manifolds. 6.The Big Picard theorem and extension of holomorphic mapping. 7.Generalization to complex spaces. 8.Hyperbolic manifolds and minimal models. 9.Miscellany.