Encyclopedia of distances [electronic resource] / by Michel Marie Deza, Elena Deza.

Part I. Mathematics of Distances: 1 General Definitions
2 Topological Spaces
3 Generalization of Metric Spaces
4 Metric Transforms
5 Metrics on Normed Structures
Part II. Geometry and Distances: 6 Distances in Geometry
7 Riemannian and Hermitian Metrics
8 Distances on Surfaces and Knots
9 Distances on Convex Bodies, Cones and Simplicial Complexes
Part III. Distances in Classical Mathematics: 10 Distances in Algebra
11 Distances on Strings and Permutations
12 Distances on Numbers, Polynomials and Matrices
13 Distances in Functional Analysis
14 Distances in Probability Theory
Part IV. Distances in Applied Mathematics: 15 Distances in Graph Theory
16 Distances in Coding Theory
17 Distances and Similarities in Data Analysis
18 Distances in Systems and Mathematical Engineering
Part V. Computer-Related Distances: 19 Distances on Real and Digital Planes
20 Voronoi Diagram Distances
21 Image and Audio Distances
22 Distances in Networks
Part VI. Distances in Natural Sciences: 23 Distances in Biology
24 Distances in Physics and Chemistry
25 Distances in Earth Science and Astronomy
26 Distances in Cosmology and Theory of Relativity
Part VII. Real-World Distances: 27 Length Measures and Scales
28 Distances in Applied Social Sciences
29 Other Distances.