Encyclopedia of Distances

Book Details

• Publisher: Springer

• Author: Michel Marie Deza

• Language: English

• Edition: 4th ed. 2016

• ISBN: 9783662528433

• Pages: 756

• Cover: Hardcover

• Dimensions: 9.5 x 6.5 x 1.8 inches

About The Book

The Encyclopedia of Distances by Michel Marie Deza, now in its thoroughly updated 4th edition, remains the definitive reference work on distance metrics. Spanning 756 pages, this volume offers a comprehensive treatment of distances and metrics, making it an invaluable resource for mathematicians, researchers, and professionals in applied fields.

This edition builds upon the strong foundation of previous versions, with significant updates to reflect the latest advances in the use of distance metrics across various disciplines. While maintaining its structure, the 4th edition introduces essential new topics and explores recent developments in areas such as generalized distances, probability theory, graph theory, coding theory, and data analysis.

New mathematical sections include discussions on the Vitanyi multiset-metric, the algebraic point-conic distance, the Taneja distance, spectral semimetrics between graphs, and much more. The multidisciplinary sections have also been expanded, covering topics like dynamic time wrapping distance, memory distance, atmospheric depth, and even the astronomical system of units.

The encyclopedia offers clear, standalone introductions and definitions, along with easy cross-referencing of key terms, allowing readers to navigate complex concepts effortlessly. In addition to detailed entries on specific distances, the book includes a "Who’s Who" of metrics, providing essential context and enabling applied mathematicians to integrate these techniques into their research.

Whether you’re exploring distance metrics for the first time or are an experienced researcher, this peerless volume will inspire new avenues of study and stimulate fresh research in this rapidly evolving field.