Differential and Complex Geometry: Origins, Abstractions and Embeddings

516.36

Wells, Jr., Raymond O. Differential and Complex Geometry: Origins, Abstractions and Embeddings by Raymond O. Wells, Jr. -
XIV, 319 p. 47 illus., 18 illus. in color. online resource. Content notes : Introduction -- Part I. Geometry in the Age of Enlightenment -- Algebraic Geometry -- Differential Geometry -- Part II. Differential and Projective Geometry in the Nineteenth Century -- Projective Geometry -- Gauss and Intrinsic Differential Geometry -- Riemann's Higher-Dimensional Geometry -- Part III. Origins of Complex Geometry -- The Complex Plane -- Elliptic and Abelian Integrals -- Elliptic Functions -- Complex Analysis -- Riemann Surfaces -- Complex Geometry at the End of the Nineteenth Century -- Part IV. Twentieth-Century Embedding Theorems -- Differentiable Manifolds -- Riemannian Manifolds -- Compact Complex Manifolds -- Noncompact Complex Manifolds. 9783319581842 * Global differential geometry. Global analysis. Differential equations, partial. Algebraic topology. Differential Geometry. Global Analysis and Analysis on Manifolds. Several Complex Variables and Analytic Spaces. Projective Geometry. Algebraic Topology.