Maps are beguilingly simple structures with deep and ubiquitous properties. They arise in an essential way in many areas of mathematics and mathematical physics, but require considerable time and computational effort to generate. Few collected drawings are available for reference, and little has been written, in book form, about their enumerative a
Preface. MAPS. Introduction. Surfaces and Maps. The Axiomatization and the Encoding of maps. Generating Series and Conjectures. THE ATLAS. Maps in Orientable Surfaces. Maps in Nonorientable Surfaces. Face Regular Maps and Hypermaps. Associated Graphs and their Maps. TABLES. Numbers of Rooted Maps. Numbers of Unrooted Maps. Nonrealizable Pairs of Partitions. Map Polynomials. Bibliography. Glossary. Index.