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| DICTIONARY OF DISTANCES
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To order this title, and for more information, click here
By
Michel-Marie Deza
Elena Deza
Description
This book comes out of need and urgency (expressed especially in areas of Information Retrieval with respect to Image, Audio, Internet
and Biology) to have a working tool to compare data.
The book will provide powerful resource for all researchers using Mathematics as
well as for mathematicians themselves. In the time when over-specialization and terminology fences isolate researchers, this Dictionary
try to be "centripedal" and "oikoumeni", providing some access and altitude of vision but without taking the route of scientific vulgarisation.
This attempted balance is the main philosophy of this Dictionary which defined its structure and style.
Key features:
- Unicity: it
is the first book treating the basic notion of Distance in whole generality.
- Interdisciplinarity: this Dictionary is larger in scope
than majority of thematic dictionaries.
- Encyclopedicity: while an Encyclopedia of Distances seems now too difficult to produce, this
book (by its scope, short introductions and organization) provides the main material for it and for future tutorials on some parts of
this material.
- Applicability: the distances, as well as distance-related notions and paradigms, are provided in ready-to-use fashion.
- Worthiness: the need and urgency for such dictionary was great in several huge areas, esp. Information Retrieval, Image Analysis, Speech
Recognition and Biology.
- Accessibility: the definitions are easy to locate by subject or, in Index, by alphabetic order; the introductions
and definitions are reader-friendly and maximally independent one from another; still the text is structured, in the 3D HTML style, by
hyperlink-like boldfaced references to similar definitions.
Audience
Researchers, students and general public interested in Science.
Contents
Preface
I. Mathematics of Distances
1. General Definitions
2. Topological Spaces
3. Generalizations of Metric Spaces
4. Metric
Transforms
5. Metrics on Normed Structures
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
III. Distances in Classical
Mathematics
10. Distances in Algebra
11. Distances on Strings and Permutations
12. Distances on Numbers, Polynomials, and Matrices
13. Distances in Functional Analysis
14. Distances in Probability Theory
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
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
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 ad Theory of Relativity
VII. Real-world
Distances
27. Length Measures and Scales
28. Non-mathematical and Figurative Meaning of Distance
| Bibliographic details |
Hardbound, 412 pages, publication date: OCT-2006
ISBN-13: 978-0-444-52087-6
ISBN-10: 0-444-52087-2
Imprint: ELSEVIER
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| Price and Ordering |
Price:
GBP 103
USD 190
EUR 140
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Last update: 13 Jun 2009
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