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Dictionary of Distances [Hardcover]

Michel Marie Deza (Author), Elena Deza (Author)
4.0 out of 5 stars  See all reviews (2 customer reviews)

Price: $195.00 & this item ships for FREE with Super Saver Shipping. Details
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Book Description

November 30, 2006 0444520872 978-0444520876 1
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

Editorial Reviews

Book Description

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

Product Details

  • Hardcover: 412 pages
  • Publisher: Elsevier Science; 1 edition (November 30, 2006)
  • Language: English
  • ISBN-10: 0444520872
  • ISBN-13: 978-0444520876
  • Product Dimensions: 9.7 x 6.6 x 0.8 inches
  • Shipping Weight: 1.8 pounds (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #716,670 in Books (See Top 100 in Books)

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3.0 out of 5 stars caveat lector, January 3, 2011
This review is from: Dictionary of Distances (Hardcover)
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).
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5.0 out of 5 stars A dream gift for he matheatically sophisticated, May 18, 2010
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This review is from: Dictionary of Distances (Hardcover)
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.
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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
biotope distance, injective metric space, edit distance mappings, fidelity similarity, universal metric space, right logarithmic derivative, normed structures, metric compactum, inversive distance, gamma distance, subtree prune, corresponding metric space, polyhedral chain, geodesic metric space, two binary images, finite metric space, cepstral distance, tight span, following parametric equations, totally bounded metric space, unicity distance, interval norm, affine distance, comoving distance, horizontal coordinate system
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Classical Mathematics, Mathematics of Distances, Natural Sciences, Applied Mathematics, Computer-Related Distances, General Definitions, Functional Analysis, Hyperbolic Geometry, Graph Theory, Data Analysis, Euclidean Geometry, General Theory of Relativity, Probability Theory, Coding Theory, Riemannian Geometry, Earth Mover, Control Theory, Elliptic Geometry, Mathematical Engineering, Real-World Distances, Simplicial Complexes, Voronoi Diagram Distances, Big Bang, Generalizations of Metric Spaces, Hilbert Geometry
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