Authors:
- Offers a unique overview of the theme "distance" in mathematics and science
- Done in a cross-disciplinary fashion
- Includes supplementary material: sn.pub/extras
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Table of contents (29 chapters)
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Front Matter
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Mathematics of Distances
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Front Matter
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Geometry and Distances
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Front Matter
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Distances in Classical Mathematics
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Front Matter
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Distances in Applied Mathematics
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Front Matter
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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)Authors and Affiliations
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Ecole Normale Supérieure, Paris CX 05, France
Michel Marie Deza
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Moscow State Pedagogical University, Moskva, Russia
Elena Deza
Bibliographic Information
Book Title: Encyclopedia of Distances
Authors: Michel Marie Deza, Elena Deza
DOI: https://doi.org/10.1007/978-3-642-30958-8
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2013
eBook ISBN: 978-3-642-30958-8Published: 28 October 2012
Edition Number: 2
Number of Pages: XVIII, 650
Number of Illustrations: 2 b/w illustrations
Topics: Geometry, Differential Geometry, Topology, Computational Mathematics and Numerical Analysis, Visualization, Mathematical and Computational Engineering