From Geometry to Topology

This excellent introduction to topology eases first-year math students and general readers into the subject by surveying its concepts in a descriptive and intuitive way, attempting to build a bridge from the familiar concepts of geometry to the formalized study of topology. The book starts with a focus on congruence classes defined by transformations in real Euclidean space, gradually increasing the number of permitted transformations to reveal larger classes and their common topological properties. /n/n The latter part of the book transitions to a more conventional presentation of continuity, sets, functions, metric spaces, and topological spaces, providing a comprehensive overview of the subject. With exercises, problems, and 101 black-and-white illustrations, this 1974 edition is a valuable resource for those looking to understand the fundamentals of topology.