Encyclopedia of Distances, w. CD-ROM

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, Polynominals 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 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 Internet and Similar Networks.- Part VI. Distances in Natural Sciences.- 23 Distances in Biology.- 24 Distances in Physics and Chemistry.- 25 Distances in Geography, Geophysics 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.

From the reviews:"Michel Marie Deza and Elena Deza's Encyclopedia of Distances is exactly what it says, it is - an encyclopedia of topics that relate to measuring distance. ... It is a truly original compilation of material, one that almost anyone with some mathematical experience might enjoy browsing." (Bill Wood, The Mathematical Association of America, September, 2009)"Encyclopedia of Distances is a revision of the earlier Dictionary of Distances (2006). ... Toward the end of the encyclopedia several chapters address the definition of distances in other areas of the sciences including astronomy, biology, geography, relativity, and even some of the social sciences. Non-mathematicians will find these chapters more approachable ... . This volume is suitable ... for institutions with graduate programs in mathematics. Summing Up: Recommended. Graduate students through professionals/practitioners." (J. O. Christensen, Choice, Vol. 47 (5), January, 2010)"It does, though, contain an interesting collection of articles; mainly related to distances used in maths ... . Its main audience is researchers who are interested in an aspect of distance and its measurement. ... Each definition clearly identifies where it is building on other definitions in the book so the reader can refer to those entries as well. Overall, this is a specialist reference book ... . For those who are already knowledgeable in this subject then it would be an interesting review ... ." (Clari Gosling, Reference Reviews, Vol. 24 (6), 2010)"In this book a collection of more than 1,000 distances and metrics is presented coming from nearly every part of pure and applied mathematics, of natural sciences and of every day life as well. ... Often informative comments are added, which make this book an even more valuable source of reference." (G. Kowol, Monatshefte für Mathematik, Vol. 160 (1), April, 2010)