Get 40% off of select print and eBooks in Engineering & Materials Science!

Encyclopedia of Distances

Authors: Deza, Michel Marie, Deza, Elena

Free Preview
  • Offers a unique overview of the theme "distance" in mathematics and science
  • Done in a cross-disciplinary fashion
  • Comprehensive
see more benefits

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-662-44342-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $149.00
price for USA in USD
  • ISBN 978-3-662-51868-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This updated and revised third edition of the leading reference volume on distance metrics includes new items from very active research areas in the use of distances and metrics such as geometry, graph theory, probability theory and analysis. Among the new topics included are, for example, polyhedral metric space, nearness matrix problems, distances between belief assignments, distance-related animal settings, diamond-cutting distances, natural units of length, Heidegger’s de-severance distance, and brain distances.

The publication of this volume 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.

Leaving aside the practical questions that arise during the selection of a ‘good’ distance function, this work focuses on providing the research community with an invaluable comprehensive listing of the main available distances.

As well as providing standalone introductions and definitions, the encyclopedia facilitates swift cross-referencing with easily navigable bold-faced textual links to core entries. In addition to distances themselves, the authors have collated numerous fascinating curiosities in their Who’s Who of metrics, including distance-related notions and paradigms that enable applied mathematicians in other sectors to deploy research tools that non-specialists justly view as arcane. In expanding access to these techniques, and in many cases enriching the context of distances themselves, this peerless volume is certain to stimulate fresh 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)

Table of contents (29 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-662-44342-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $149.00
price for USA in USD
  • ISBN 978-3-662-51868-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Encyclopedia of Distances
Authors
Copyright
2014
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-44342-2
DOI
10.1007/978-3-662-44342-2
Softcover ISBN
978-3-662-51868-7
Edition Number
3
Number of Pages
XX, 733
Number of Illustrations
3 b/w illustrations
Topics