A comprehensive, definitive work on topological graph theory. While the principle concern in the book is graph imbedding, the text will emphasize connections to other parts of mathematics: spaces, finite groups, combinatorial algorithms, graphical enumeration and block designs. Intended for mathematicians, statisticians and computer scientists, the clear writing style and numerous examples will provide sufficient concrete interests to simplify the understanding of conceptually difficult material. The book includes nearly every result in topological graph theory, including most proofs, or where proof is omitted, an indication of the method is given. Also included is a complete proof of the classification of surfaces, along with a complete reference to the field of topological graph theory, and an extensive list of references to the current literature in the field.