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Deza, Elena

Encyclopedia of Distances

Deza, Elena - Encyclopedia of Distances, ebook

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Ebook, PDF with Adobe DRM
ISBN: 9783662528440
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Table of contents

Part I. Mathematics of Distances

1. General Definitions
Michel Marie Deza, Elena Deza

2. Topological Spaces
Michel Marie Deza, Elena Deza

3. Generalizations of Metric Spaces
Michel Marie Deza, Elena Deza

4. Metric Transforms
Michel Marie Deza, Elena Deza

5. Metrics on Normed Structures
Michel Marie Deza, Elena Deza

Part II. Geometry and Distances

6. Distances in Geometry
Michel Marie Deza, Elena Deza

7. Riemannian and Hermitian Metrics
Michel Marie Deza, Elena Deza

8. Distances on Surfaces and Knots
Michel Marie Deza, Elena Deza

9. Distances on Convex Bodies, Cones, and Simplicial Complexes
Michel Marie Deza, Elena Deza

Part III. Distances in Classical Mathematics

10. Distances in Algebra
Michel Marie Deza, Elena Deza

11. Distances on Strings and Permutations
Michel Marie Deza, Elena Deza

12. Distances on Numbers, Polynomials, and Matrices
Michel Marie Deza, Elena Deza

13. Distances in Functional Analysis
Michel Marie Deza, Elena Deza

14. Distances in Probability Theory
Michel Marie Deza, Elena Deza

Part IV. Distances in Applied Mathematics

15. Distances in Graph Theory
Michel Marie Deza, Elena Deza

16. Distances in Coding Theory
Michel Marie Deza, Elena Deza

17. Distances and Similarities in Data Analysis
Michel Marie Deza, Elena Deza

18. Distances in Systems and Mathematical Engineering
Michel Marie Deza, Elena Deza

Part V. Computer-Related Distances

19. Distances on Real and Digital Planes
Michel Marie Deza, Elena Deza

20. Voronoi Diagram Distances
Michel Marie Deza, Elena Deza

21. Image and Audio Distances
Michel Marie Deza, Elena Deza

22. Distances in Networks
Michel Marie Deza, Elena Deza

Part VI. Distances in Natural Sciences

23. Distances in Biology
Michel Marie Deza, Elena Deza

24. Distances in Physics and Chemistry
Michel Marie Deza, Elena Deza

25. Distances in Earth Science and Astronomy
Michel Marie Deza, Elena Deza

26. Distances in Cosmology and Theory of Relativity
Michel Marie Deza, Elena Deza

Part VII. Real-World Distances

27. Length Measures and Scales
Michel Marie Deza, Elena Deza

28. Distances in Applied Social Sciences
Michel Marie Deza, Elena Deza

29. Other Distances
Michel Marie Deza, Elena Deza

Keywords: Mathematics, Differential Geometry, Topology, Computational Mathematics and Numerical Analysis, Appl.Mathematics/Computational Methods of Engineering

Author(s)
 
Publisher
Springer
Publication year
2016
Language
en
Edition
4th ed. 2016
Page amount
22 pages
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9783662528440
Printed ISBN
978-3-662-52843-3

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