- Offers a unique overview of the theme "distance" in mathematics and science
- Done in a cross-disciplinary fashion
- Comprehensive
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- About this book
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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.
- Reviews
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“The fourth edition of the Encyclopedia of Distances appears barely two years after the third (2014) and contains 76 new entries and 23 additional pages. … This latest release will be useful mainly to specialists and collections supporting graduate mathematics programs. Summing Up: Recommended. Graduate students through professionals.” (L. R. Zellmer, Choice, Vol. 54 (8), April, 2017)
- Table of contents (29 chapters)
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General Definitions
Pages 3-62
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Topological Spaces
Pages 63-70
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Generalizations of Metric Spaces
Pages 71-85
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Metric Transforms
Pages 87-96
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Metrics on Normed Structures
Pages 97-108
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Table of contents (29 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Encyclopedia of Distances
- Authors
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- Michel Marie Deza
- Elena Deza
- Copyright
- 2016
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-662-52844-0
- DOI
- 10.1007/978-3-662-52844-0
- Hardcover ISBN
- 978-3-662-52843-3
- Softcover ISBN
- 978-3-662-57086-9
- Edition Number
- 4
- Number of Pages
- XXII, 756
- Number of Illustrations
- 2 b/w illustrations
- Topics
