Encyclopedia of Distances
This updated and revised second edition of the leading reference volume on distance metrics includes a wealth of new material that reflects advances in a field now regarded as an essential tool in many areas of pure and applied mathematics. The publication of this volume coincides with intensifyin...
| Main Authors: | , |
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| Corporate Author: | |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2013.
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| Edition: | 2nd ed. 2013. |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-642-30958-8 |
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 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.