Online / 2020
Geometry with an Introduction to Cosmic Topology
Geometry with an Introduction to Cosmic Topology
A free online textbook in Applied: Geometry with an Introduction to Cosmic Topology.
Motivated by questions in cosmology, the open-content text Geometry with an Introduction to Cosmic Topology uses Mobius transformations to develop hyperbolic, elliptic, and Euclidean geometry - three possibilities for the global geometry of the universe. The text, written for students who have taken vector calculus, also explores the interplay between the shape of a space and the type of geometry it admits.