Inhalt
1: Two Classical Examples: Submersion Theorem and Morse Lemma.- 2: Germs and Jets.- 3: Equivalence Relations on Germs and Jets.- 4: Tangent Spaces to Orbits.- 5: Basic Classification Examples in Linear Algebra and Algebraic Geometry.- 6: Finite Determinacy of Map Germs.- 7: Weighted Homogeneous Singularities.- 8: Classification of Simple Singularities of Functions.- 9: Classification of Simple O-Dimensional Complete Intersections.- 10: Curve and Surface Singularities.- 11: Dual Mappings and Contact Tangency Classes for Projective Hypersurfaces.- Appendix: Two Recent Research Topics.- References.- List of Notations.