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Géométrie algébrique

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Geometry, Algebraic --- Géométrie algébrique --- Hodge theory. --- Hodge, Théorie de.

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Geometry, Algebraic. --- Géométrie algébrique --- Hodge theory. --- Hodge, Théorie de --- Analytic spaces. --- Espaces analytiques --- Complex manifolds. --- Variétés complexes --- Singularities (Mathematics) --- Singularités (mathématiques) --- Geometrie algebrique --- Cohomologie --- Geometrie algebrique --- Cohomologie

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Algebraic geometry --- Determinantal varieties. --- Schemes (Algebraic geometry) --- Schémas (géométrie algébrique) --- Liaison theory (Mathematics) --- Liaison, Théorie de la --- Determinantal varieties --- Geometry, Algebraic --- Linkage theory (Mathematics) --- Algebraic varieties --- Liaison, Théorie de la.

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Topology is a relatively young and very important branch of mathematics. It studies properties of objects that are preserved by deformations, twistings, and stretchings, but not tearing. This book deals with the topology of curves and surfaces as well as with the fundamental concepts of homotopy and homology, and does this in a lively and well-motivated way. There is hardly an area of mathematics that does not make use of topological results and concepts. The importance of topological methods for different areas of physics is also beyond doubt. They are used in field theory and general relativity, in the physics of low temperatures, and in modern quantum theory. The book is well suited not only as preparation for students who plan to take a course in algebraic topology but also for advanced undergraduates or beginning graduates interested in finding out what topology is all about. The book has more than 200 problems, many examples, and over 200 illustrations.

Combinatorial topology. --- Topologie combinatoire --- Combinatorial topology --- Variétés topologiques --- Topological manifolds --- Variétés (mathématiques) --- Manifolds (Mathematics) --- Algebraic topology. --- Algebraic geometry. --- Fluids. --- Algebraic Topology. --- Algebraic Geometry. --- Fluid- and Aerodynamics. --- Hydraulics --- Mechanics --- Physics --- Hydrostatics --- Permeability --- Algebraic geometry --- Geometry --- Topology --- Variétés (mathématiques) --- Variétés topologiques --- Topological manifolds. --- Geometrie algebrique --- Varietes algebriques