See our review of the first edition and our notice for the second edition. This third edition has been updated. The authors say
In the latest edition, new items from very active research areas in the use of distances and metrics such as geometry, graph theory, probability theory, and analysis have been added. We have kept the structure, but have revised many topics, simplifying, shortening and updating them, especially in Chaps. 23–25 and 27–29.
Among the new topics included are, for example, polyhedral metric spaces, nearness matrix problems, distances between belief assignments, distance-related animal settings, diamond-cutting distances, natural units of length, Heidegger's deseverance distance, and brain distances in Chaps. 9, 12, 14, 23, 24, 27, 28, and 29, respectively.