Analytic Hyperbolic Geometry: Mathematical Foundations And Applications - Ungar, Abraham Albert (North Dakota State Univ, Usa)

Presents a gyrovector space approach to analytic hyperbolic geometry, fully analogous to the well-known vector space approach to Euclidean geometry. Including the definition of gyrogroups, this book presents applications of Mobius gyrovector spaces in quantum computation, and of Einstein gyrovector spaces in special relativity.