Differential Geometry

This classic work is now available in an unabridged paperback edition. Stoker makes this fertile branch of mathematics accessible to the nonspecialist by the use of three different notations: vector algebra and calculus, tensor calculus, and the notation devised by Cartan, which employs invariant differential forms as elements in an algebra due to Grassman, combined with an operation called exterior differentiation. Assumed are a passing acquaintance with linear algebra and the basic elements of analysis.

Spis treści:
Operations with Vectors.
Plane Curves.
Space Curves.
The Basic Elements of Surface Theory.
Some Special Surfaces.
The Partial Differential Equations of Surface Theory.
Inner Differential Geometry in the Small from the Extrinsic Point of View.
Differential Geometry in the Large.
Intrinsic Differential Geometry of Manifolds;
Relativity.
The Wedge Product and the Exterior Derivative of Differential Forms, with Applications to Surface Theory.
Appendices.
Bibliography.
Index.