Information geometry provides the mathematical sciences with a new framework of analysis. It has emerged from the investigation of the natural differential geometric structure on manifolds of probability distributions, which consists of a Riemannian
This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometr
Gallier offers an introduction to affine geometry， projective geometry， Euclidean geometry， basics of differential geometry and Lie groups， and a glimpse of computational geometry (convex sets， Voronoi diagrams and Delaunay triangulations) and explo
