Encyclopedia of Distances

Authors: Deza, Michel Marie, Deza, Elena

  • Offers a unique overview of the theme "distance" in mathematics and science
  • Done in a cross-disciplinary fashion
  • Comprehensive
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eBook $109.00
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  • ISBN 978-3-642-30958-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
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  • Immediate eBook download after purchase
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About this book

This updated and revised second edition of the leading reference volume on distance metrics includes a wealth of new material that reflects advances in a developing field now regarded as an essential tool in many areas of pure and applied mathematics.

 

Its publication coincides with intensifying research efforts into metric spaces and especially distance design for applications. Accurate metrics have become a crucial goal in computational biology, image analysis, speech recognition and information retrieval.

 

The content focuses on providing academics with an invaluable comprehensive listing of the main available distances. As well as standalone introductions and definitions, the encyclopedia facilitates swift cross-referencing with easily navigable bold-faced textual links to core entries, and includes a wealth of fascinating curiosities that enable non-specialists to deploy research tools previously viewed as arcane. Its value-added context is certain to open novel avenues of research.

Reviews

From the reviews of the second edition:

“This encyclopedia, dedicated to the theme ‘distances’ in the areas of pure mathematics up to abstract spaces, applied mathematics and applications, includes an impressive rich amount of different topics and knowledge areas. … The encyclopedia is highly recommended for students and researchers and everybody who is interested in increasing his knowledge on this fascinating field of distances.” (Gertraud Ehrig, Zentralblatt MATH, Vol. 1259, 2013)

“This is the second edition of the original text (2006). There are several additions, corrections and some streamlining has been done, but the general idea and structure is maintained. The concept of distance is interpreted in its broadest possible sense. In 29 chapters, the concept of distance is placed in as many different contexts by giving an enumeration of definition and properties. … The paper version is clearly a welcome asset in a mathematics library.” (A. Bultheel, The European Mathematical Society, December, 2012)

Table of contents (29 chapters)

  • General Definitions

    Deza, Michel Marie (et al.)

    Pages 3-58

  • Topological Spaces

    Deza, Michel Marie (et al.)

    Pages 59-66

  • Generalizations of Metric Spaces

    Deza, Michel Marie (et al.)

    Pages 67-78

  • Metric Transforms

    Deza, Michel Marie (et al.)

    Pages 79-87

  • Metrics on Normed Structures

    Deza, Michel Marie (et al.)

    Pages 89-99

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-642-30958-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Encyclopedia of Distances
Authors
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-30958-8
DOI
10.1007/978-3-642-30958-8
Edition Number
2
Number of Pages
XVIII, 650
Number of Illustrations and Tables
2 b/w illustrations
Topics