Geometry in Present Day Science
The Table of Contents for the book is as follows:
Preface
Quantum geometry
Extending the Fisher metric to density matrices
Geometry of quantum information systems
Information geometric analysis of an interior point method for semidefinite programming
Diffusion processes, manifolds of exponential densities, and nonlinear filtering
From computerized to geometric and discrete tomography
The use of the generalized Blaschke-Petkantschin formula in local stereology and its proof by induction
The stereological estimation of the Euler-Poincaré characteristic exemplified with networks of capillaries and cancellous bone
Geometry, statistics, and shape
Solutions to nonlinear partial differential equations:A geometric approach
Voronoi diagrams and Morse theory of the distance function