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Michel M. Deza
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Dictionary of Distances 1st Edition

by Michel Marie Deza (Author), Elena Deza (Author)
3.6 3.6 out of 5 stars 5 ratings
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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
Previous page
  1. ISBN-10
    9780444520876
  2. ISBN-13
    978-0444520876
  3. Edition
    1st
  4. Publisher
    Elsevier Science
  5. Publication date
    November 30, 2006
  6. Language
    English
  7. Dimensions
    6.58 x 0.81 x 9.72 inches
  8. Print length
    412 pages
  9. See all details
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Editorial Reviews

Review

Cover the notion of distances using common terms and data measurements.

Product details

  • ASIN ‏ : ‎ 0444520872
  • Publisher ‏ : ‎ Elsevier Science; 1st edition (November 30, 2006)
  • Language ‏ : ‎ English
  • Hardcover ‏ : ‎ 412 pages
  • ISBN-10 ‏ : ‎ 9780444520876
  • ISBN-13 ‏ : ‎ 978-0444520876
  • Item Weight ‏ : ‎ 1.94 pounds
  • Dimensions ‏ : ‎ 6.58 x 0.81 x 9.72 inches
  • Customer Reviews:
    3.6 3.6 out of 5 stars 5 ratings

About the authors

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  1. Michel M. Deza

    Michel M. Deza

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    From Wikipedia, the free encyclopedia.

    Michel Marie Deza is a French and Russian mathematician, specializing in Combinatorics, Discrete Geometry and Graph Theory. He is a retired director of research at the French National Centre for Scientific Research (CNRS), the vice president of the European Academy of Sciences, a research professor at the Japan Advanced Institute of Science and Technology, and the founding editor-in-chief of the European Journal of Combinatorics.

    See more on the author's page
  2. Elena Deza

    Elena Deza

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    Discover more of the author’s books, see similar authors, read author blogs and more

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Customer reviews

3.6 out of 5 stars
3.6 out of 5
5 global ratings

Top reviews from the United States

Loves to Read
5.0 out of 5 stars A dream gift for he matheatically sophisticated
Reviewed in the United States on May 18, 2010
This is simply one of the most fascinating recent mathematics books. This book catalogs the amazing variety of metrics that have been developed not only in mathematics, but also biology, chemistry, and physics. Distance, more precisely metrics, have been a key concept in mathematics since Euclid and Frechet's generalization of Euclidean distance to induce a natural topology on abstract sets has been a fundamental building block of modern mathematics. In mathematics distance concepts arise in a variety of applications for example, in probability theory inducing a topology on the space of probability measures, eg Prokhorov metric, or in communications theory assessing how far apart two sequences of symbols are, Hamming distance, which is also used to determine how different two DNA sequences are. The book is expensive and not likely to be purchased by a mathematician specializing in a particular field, so for the mathematician (or the sophisticated mathematical enthusiast) in your life it would be a great gift.
One person found this helpful
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Forest Dwellers
4.0 out of 5 stars This has been useful to me over the past few years.
Reviewed in the United States on April 25, 2016
I didn't buy this directly through Amazon, however I have found it use to have on my shelf. I sometimes work in areas like classification, features are defined to describe objects, distances are defined to determine differences between objects in feature-space, and then algorithms developed to find interesting things based on the distance matrix. This book has been helpful by providing background about a variety of distances, relationships between distances, and some mathematical foundations of distances. It's primary detraction is its cost. My background is primarily physics, with interests in signal processing and applied mathematics.
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mjmarkowitz
3.0 out of 5 stars caveat lector
Reviewed in the United States on January 4, 2011
1) independently check all claims. The statement "In fact, a manifold is Kobayashi hyperbolic if and only if it is biholomorphic to a bounded homogeneous domain," on p. 106 is blatantly false.

2) this edition has been superseded by the larger (and cheaper on Amazon) "Encyclopedia of Distances" published by Springer in 2009 (ISBN: 978-3-642-00233-5).
3 people found this helpful
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Top reviews from other countries

anonymer Anwender
2.0 out of 5 stars It is more like you ask what a Desaster is and the response ...
Reviewed in the United Kingdom on February 27, 2016
Verified Purchase
The book is a aggregation of Definitions. Looking for relevance and behavior of such metrics? Not in the dictionary. It is more like you ask what a Desaster is and the response is .... a Desaster is a Debacle. Hopefully, you know what a debacle is.
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