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

Introducing the tools of modern differential geometry--exterior calculus, manifolds, vector bundles, connections--this textbook covers both classical surface th

This book is divided into two parts, the first one to study the theory of differentiable functions between Banach spaces and the second to study the differentia

Exterior analysis uses differential forms (a mathematical technique) to analyze curves, surfaces, and structures. Exterior Analysis is a first-of-its-kind resou

This text presents differential forms from a geometric perspective accessible at the undergraduate level. It begins with basic concepts such as partial differen