Dictionary of Distances 1st Edition by Michel-Marie Deza (PDF)

Description

This book comes out of need and urgency (expressed especially in areas of Information Retrieval with respect to Image, Audio, Internet and Biology) to have a working tool to compare data.The book will provide powerful resource for all researchers using Mathematics as well as for mathematicians themselves. In the time when over-specialization and terminology fences isolate researchers, this Dictionary try to be “centripedal” and “oikoumeni”, providing some access and altitude of vision but without taking the route of scientific vulgarisation. This attempted balance is the main philosophy of this Dictionary which defined its structure and style.Key features:- Unicity: it is the first book treating the basic notion of Distance in whole generality.- Interdisciplinarity: this Dictionary is larger in scope than majority of thematic dictionaries.- Encyclopedicity: while an Encyclopedia of Distances seems now too difficult to produce, this book (by its scope, short introductions and organization) provides the main material for it and for future tutorials on some parts of this material.- Applicability: the distances, as well as distance-related notions and paradigms, are provided in ready-to-use fashion.- Worthiness: the need and urgency for such dictionary was great in several huge areas, esp. Information Retrieval, Image Analysis, Speech Recognition and Biology.- Accessibility: the definitions are easy to locate by subject or, in Index, by alphabetic order; the introductions and definitions are reader-friendly and maximally independent one from another; still the text is structured, in the 3D HTML style, by hyperlink-like boldfaced references to similar definitions.* Covers a large range of subjects in pure and applied mathematics* Designed to be easily applied–the distances and distance-related notions and paradigms are ready to use* Helps users quickly locate definitions by subject or in alphabetical order; stand-alone entries include references to other entries and sources for further investigation

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I didn’t buy this directly through Amazon, however I have found it use to have on my shelf. I sometimes work in areas like classification, features are defined to describe objects, distances are defined to determine differences between objects in feature-space, and then algorithms developed to find interesting things based on the distance matrix. This book has been helpful by providing background about a variety of distances, relationships between distances, and some mathematical foundations of distances. It’s primary detraction is its cost. My background is primarily physics, with interests in signal processing and applied mathematics.

⭐1) independently check all claims. The statement “In fact, a manifold is Kobayashi hyperbolic if and only if it is biholomorphic to a bounded homogeneous domain,” on p. 106 is blatantly false.2) this edition has been superseded by the larger (and cheaper on Amazon) “Encyclopedia of Distances” published by Springer in 2009 (ISBN: 978-3-642-00233-5).

⭐This is simply one of the most fascinating recent mathematics books. This book catalogs the amazing variety of metrics that have been developed not only in mathematics, but also biology, chemistry, and physics. Distance, more precisely metrics, have been a key concept in mathematics since Euclid and Frechet’s generalization of Euclidean distance to induce a natural topology on abstract sets has been a fundamental building block of modern mathematics. In mathematics distance concepts arise in a variety of applications for example, in probability theory inducing a topology on the space of probability measures, eg Prokhorov metric, or in communications theory assessing how far apart two sequences of symbols are, Hamming distance, which is also used to determine how different two DNA sequences are. The book is expensive and not likely to be purchased by a mathematician specializing in a particular field, so for the mathematician (or the sophisticated mathematical enthusiast) in your life it would be a great gift.

⭐The book is a aggregation of Definitions. Looking for relevance and behavior of such metrics? Not in the dictionary. It is more like you ask what a Desaster is and the response is …. a Desaster is a Debacle. Hopefully, you know what a debacle is.

⭐

Keywords

Free Download Dictionary of Distances 1st Edition in PDF format
Dictionary of Distances 1st Edition PDF Free Download
Download Dictionary of Distances 1st Edition 2006 PDF Free
Dictionary of Distances 1st Edition 2006 PDF Free Download
Download Dictionary of Distances 1st Edition PDF
Free Download Ebook Dictionary of Distances 1st Edition