Overview
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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Keywords
About this book
This 4-th edition of the leading reference volume on distance metrics is characterized by updated and rewritten sections on some items suggested by experts and readers, as well a general streamlining of content and the addition of essential new topics. Though the structure remains unchanged, the new edition also explores recent advances in the use of distances and metrics for e.g. generalized distances, probability theory, graph theory, coding theory, data analysis.
New topics in the purely mathematical sections include e.g. the Vitanyi multiset-metric, algebraic point-conic distance, triangular ratio metric, Rossi-Hamming metric, Taneja distance, spectral semimetric between graphs, channel metrization, and Maryland bridge distance. The multidisciplinary sections have also been supplemented with new topics, including: dynamic time wrapping distance, memory distance, allometry, atmospheric depth, elliptic orbit distance, VLBI distance measurements, the astronomical system of units, and walkability distance.
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.
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Authors and Affiliations
Bibliographic Information
Book Title: Encyclopedia of Distances
Authors: Michel Marie Deza, Elena Deza
DOI: https://doi.org/10.1007/978-3-662-52844-0
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2016
Hardcover ISBN: 978-3-662-52843-3Published: 24 August 2016
Softcover ISBN: 978-3-662-57086-9Published: 15 June 2018
eBook ISBN: 978-3-662-52844-0Published: 16 August 2016
Edition Number: 4
Number of Pages: XXII, 756
Number of Illustrations: 2 b/w illustrations
Topics: Differential Geometry, Topology, Computational Mathematics and Numerical Analysis, Mathematical and Computational Engineering