Geometry with an Introduction to Cosmic Topology by Michael P. Hitchman

"Geometry with an Introduction to Cosmic Topology" by Michael P. Hitchman is an introductory textbook that combines the study of classical geometry with an exploration of cosmic topology. The book begins with fundamental concepts in Euclidean and non-Euclidean geometry, including transformations and symmetry, before delving into the fascinating world of topology. It introduces readers to the shape and structure of the universe, discussing key concepts like curvature, geodesics, and the topology of space. With clear explanations and engaging examples, this book serves as an accessible guide for students and enthusiasts interested in both geometry and the mathematical foundations of our universe.