Title: Mostly surfaces
Description: 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.
Subjects: Algebraic geometry -- Computational aspects in algebraic geometry -- Surfaces, hypersurfaces, Algebraic Surfaces, Functions of a complex variable -- Riemann surfaces -- Compact Riemann surfaces and uniformization, Several complex variables and analytic spaces -- Compact analytic spaces -- Compact surfaces, Dynamical systems and ergodic theory -- Low-dimensional dynamical systems -- Homeomorphisms and diffeomorphisms of planes and surfaces, Several complex variables and analytic spaces -- Complex manifolds -- Hyperbolic and Kobayashi hyperbolic manifolds, Hypersurfaces, Riemann surfaces, Differential geometry -- Classical differential geometry -- Surfaces in Euclidean space, Geometry -- Real and complex geometry -- Polyhedra and polytopes; regular figures, division of spaces, Surfaces, algebraic, Geometry, algebraic, Functions of complex variables, Geometry, differential