A metric space, in mathematics, is a set for which distances between all members of the set are defined. Those distances, taken together, are called a metric on the set. The most familiar metric space is 3-dimensional Euclidean space. In fact, a “metric” is the generalization of the Euclidean metric arising from the four long-known properties of the Euclidean distance. The Euclidean metric defines the distance between two points as the length of the straight line segment connecting them. A metric on a space prompts topological properties like open and closed sets, which lead to the study of more abstract topological spaces. This book details the fundamentals of metric spaces.

Print ISBN: 9781682502860 | $ 170 | 2016 | Hardcover

Contributors: Xing Jin, Yongjie Piao et al