Encyclopedia of Distances
Distance metrics and distances have become an essential tool in many areas of pure and applied Mathematics, and this encyclopedia is the first one to treat the subject in full. The book appears just as research intensifies into metric spaces and especially, distance design for applications. These di...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2009, 2009
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| Edition: | 1st ed. 2009 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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