Topics in Modern Differential Geometry

Authors: Amari, Shun-ichi
Introduces information geometry intuitively to readers without knowledge of differential geometry
Includes hot topics of applications to machine learning, signal processing, neural networks, and optimization
Applies information geometry to statistical inference and time-series analysis

This book treats the fundamentals of differential geometry: manifolds, flows, Lie groups and their actions, invariant theory, differential forms and de Rham cohomology, bundles and connections, Riemann manifolds, isometric actions, and symplectic and Poisson geometry.