Product Descr iption Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in $I\!\!R^3$ that arise in calculus. Here we learn about line and surface integrals, divergence and curl, and the various form
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
Statistical machine learning algorithms deal with the problem of selecting an appropriate statistical model from a model space based on a training set {xi}N i=1 ⊂ X or {(xi, yi)}N i=1 ⊂ X × Y. In doing so they either implicitly or explicitly make
Riemannian Geometry and Geometric Analysis Fourth Edition Jürgen Jost Max Planck Institute for Mathematics in the Sciences Inselstr. 22 04103 Leipzig Germany
This original text for courses in differential geometry is geared toward advanced undergraduate and graduate majors in math and physics. Based on an advanced class taught by a world-renowned mathematician for more than fifty years, the treatment int
Honoring Andrei Agrachev*s 60th birthday, this volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. On the one hand, Geometric Control Theory used the differential geometric and Lie algebra
