This volume of selected academic papers demonstrates the significance of the contribution to mathematics made by Manfredo P. do Carmo. Twice a Guggenheim Fellow

An application of differential forms for the study of some local and global aspects of the differential geometry of surfaces. Differential forms are introduced

'In a class populated by students who already have some exposure to the concept of a manifold, the presence of chapter 3 in this text may make for an unusual an

Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students i

A thoroughly revised second edition of a textbook for a first course in differential/modern geometry that introduces methods within a historical context.