LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516
Title	Encyclopedia of Distances ([Ebook]) / by Michel Marie Deza, Elena Deza.
Author	Deza, Michel Marie , 1934-
Added Personal Name	Deza, Elena
Other name(s)	SpringerLink (Online service)
Edition statement	2nd ed. 2013.
Publication	Berlin, Heidelberg : Springer Berlin Heidelberg
Publication	, 2013
Physical Details	XVIII, 650 pages. 2 illus. : online resource.
ISBN	9783642309588
Summary Note	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 field now regarded as an essential tool in many areas of pure and applied mathematics. Â 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. Â Leaving aside the practical questions that arise during the selection of a âgoodâ distance function, this work focuses on providing the research community with an invaluable comprehensive listing of the main available distances. Â 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 Whoâs 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.:
Contents note	Part I. Mathematics of Distances -- 1 General Definitions -- 2 Topological Spaces -- 3 Generalization of Metric Spaces -- 4 Metric Transforms -- 5 Metrics on Normed Structures -- Part II. Geometry and Distances -- 6 Distances in Geometry -- 7 Riemannian and Hermitian Metrics -- 8 Distances on Surfaces and Knots -- 9 Distances on Convex Bodies, Cones and Simplicial Complexes -- Part III. Distances in Classical Mathematics -- 10 Distances in Algebra -- 11 Distances on Strings and Permutations -- 12 Distances on Numbers, Polynominals and Matrices -- 13 Distances in Functional Analysis -- 14 Distances in Probability Theory -- Part IV. Distances in Applied Mathematics -- 15 Distances in Graph theory -- 16 Distances in Coding Theory -- 17 Distances and Similarities in Data Analysis -- 18 Distances in Systems and Mathematical Engineering -- Part V. Computer-Related Distances -- 19 Distances on Real and Digital Planes -- 20 Voronoi Diagram Distances -- 21 Image and Audio Distances -- 22 Distances in Networks -- Part VI. Distances in Natural Sciences -- 23 Distances in Biology -- 24 Distances in Physics and Chemistry -- 25 Distances in Earth Science and Astronomy -- 26 Distances in Cosmology and Theory of Relativity -- Part VII. Real-World Distances -- 27 Length Measures and Scales -- 28 Distances in Applied Social Sciences -- 29 Other Distances.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-642-30958-8
Links to Related Works	Subject References: Computer Science . Differential Geometry . Engineering mathematics . Geometry . Global differential geometry . Mathematics . Topology . Visualization . Authors: author . Deza, Elena . Deza, Michel Marie 1934- . Corporate Authors: SpringerLink (Online service) . Classification: 516 . 516 (DDC 23) .

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Encyclopedia of Distances

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