Overview: The material is for the first time exposed from a unified point of view.Material is supplied with complete proofs (new in many cases), and can serve as source for special courses in singularity theory.Singularity theory is a field of intensive study in modern mathematics with fascinating relations to algebraic geometry, complex analysis, commutative algebra, representation theory, theory of Lie groups, topology, dynamical systems, and many more, and with numerous applications in the natural and technical sciences...This book presents the basic singularity theory of analytic spaces, i
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