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Dictionary of Distances - Elena Deza

Hardcover

Published: 3rd October 2006
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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.
* Covers a large range of subjects in pure and applied mathematics
* Designed to be easily applied--the distances and distance-related notions and paradigms are ready to use
* Helps users quickly locate definitions by subject or in alphabetical order; stand-alone entries include references to other entries and sources for further investigation

Preface
Mathematics of Distances
General Definitions
Topological Spaces
Generalizations of Metric Spaces
Metric Transforms
Metrics on Normed Structures
Geometry and Distances
Distances in Geometry
Riemannian and Hermitian Metrics
Distances on Surfaces and Knots
Distances on Convex Bodies, Cones, and Simplicial Complexes
Distances in Classical Mathematics
Distances in Algebra
Distances on Strings and Permutations
Distances on Numbers, Polynomials, and Matrices
Distances in Functional Analysis
Distances in Probability Theory
Distances in Applied Mathematics
Distances in Graph Theory
Distances in Coding Theory
Distances and Similarities in Data Analysis
Distances in Mathematical Engineering
Computer-related Distances
Distances on Real and Digital Planes
Voronoi Diagram Distances
Image and Audio Distances 22. Distances in Internet and Similar Networks
Distances in Natural S
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780444520876
ISBN-10: 0444520872
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 412
Published: 3rd October 2006
Country of Publication: GB
Dimensions (cm): 24.69 x 16.71  x 2.06
Weight (kg): 0.88