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HypersurfacesAlgebraic Geometry -- Computational Aspects In Algebraic Geometry -- SurfacesGeometryAlgebraicSeveral Complex Variables And Analytic Spaces -- Compact Analytic Spaces -- Compact SurfacesDifferential Geometry -- Classical Differential Geometry -- Surfaces In Euclidean SpaceGeometry -- Real And Complex Geometry -- Polyhedra And Polytopes; Regular FiguresRiemann SurfacesSurfacesDynamical Systems And Ergodic Theory -- Low-Dimensional Dynamical Systems -- Homeomorphisms And Diffeomorphisms Of Planes And SurfacesFunctions Of A Complex Variable -- Riemann Surfaces -- Compact Riemann Surfaces And UniformizationDifferentialDivision Of SpacesSeveral Complex Variables And Analytic Spaces -- Complex Manifolds -- Hyperbolic And Kobayashi Hyperbolic ManifoldsAlgebraic SurfacesFunctions Of Complex Variables
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Mostly surfaces
The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigorous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis. --from publisher description.