Differential Geometry

James J Stoker was an American applied mathematician and engineer. He was director of the Courant Institute of Mathematical Sciences and is considered one of the founders of the institute, Courant and Friedrichs being the others. Stoker is known for his work in differential geometry and theory of water waves.

• Chapter I Operations with Vectors. Chapter II Plane Curves. Chapter III Space Curves. Chapter IV The Basic Elements of Surface Theory. Chapter V Some Special Surfaces. Chapter VI The Partial Differential Equations of SurfaceTheory. Chapter VII Inner Differential Geometry in the Small from theExtrinsic Point of View. Chapter VIII Differential Geometry in the Large. Chapter IX Intrinsic Diferential Geometry of Manifolds.Relativity. Chapter X The Wedge Product and the Exterior Derivative ofDifferential Forms, with Applications to Surface Theory. Appendix A Tensor Algebra in Affine, Euclidean, and MinkowskiSpaces. Appendix B Differential Equations. Bibliography. Index.