Differential and Complex Geometry: Origins, Abstractions and Embeddings

Part I. Geometry in the Age of Enlightenment

1. Algebraic Geometry
Raymond O. Wells

2. Differential Geometry
Raymond O. Wells

Part II. Differential and Projective Geometry in the Nineteenth Century

3. Projective Geometry
Raymond O. Wells

4. Gauss and Intrinsic Differential Geometry
Raymond O. Wells

5. Riemann’s Higher-Dimensional Geometry
Raymond O. Wells

Part III. Origins of Complex Geometry

6. The Complex Plane
Raymond O. Wells

7. Elliptic and Abelian Integrals
Raymond O. Wells

8. Elliptic Functions
Raymond O. Wells

9. Complex Analysis
Raymond O. Wells

10. Riemann Surfaces
Raymond O. Wells

11. Complex Geometry at the End of the Nineteenth Century
Raymond O. Wells

Part IV. Twentieth-Century Embedding Theorems

12. Differentiable Manifolds
Raymond O. Wells

13. Riemannian Manifolds
Raymond O. Wells

14. Compact Complex Manifolds
Raymond O. Wells

15. Noncompact Complex Manifolds
Raymond O. Wells

Keywords: Mathematics, Differential Geometry, Global Analysis and Analysis on Manifolds, Several Complex Variables and Analytic Spaces, Projective Geometry, Algebraic Topology