Introducing foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, this text is based on Bastiani calculus. It focuses on

Introduces foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, showcasing its modern applications.

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

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 lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry an