Functions of Several Complex Variables and Their Singularities (Graduate studies in mathematics, vol.83) - Hardcover

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Ebeling introduces the theory of functions of several complex variables and their singularities, emphasizing the topological aspects. He provides all the necessary prerequisites for graduate students and practitioners, describing Riemann surfaces (including coverings, analytical continuation, and Puiseaux expansion), holomorphic functions of several variables (including analytic sets and analytic set germs as well as regular and singular points of analytic sets), isolated singularities of holomorphic functions (including isolated critical points and the universal unfolding), fundamentals of differential topology (including singular homology groups and linking numbers), and the topology of singularities (including the Picard-Lefschetz theorem, the Milnor fibration, the Coxeter-Dynkin diagram, the Selfert form and the action of the braid group. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)

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