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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Deza, Michel Marie (Συγγραφέας), Deza, Elena (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Έκδοση:2nd ed. 2013.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.