This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic

This text employs vector methods to explore the classical theory of curves and surfaces. Topics include basic theory of tensor algebra, tensor calculus, calculu

This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great ex

This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential

"This book treats the fundamentals of differential geometry: manifolds, flows, Lie groups and their actions, invariant theory, differential forms and de Rham co