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Encyclopedia of distances. 3rd ed. (English) Zbl 1301.51001

Berlin: Springer (ISBN 978-3-662-44341-5/hbk; 978-3-662-44342-2/ebook). xx, 733 p. (2014).
This is the 3rd edition of the authors’ “Encyclopedia of distances”. According to the Preface, “new items from […] geometry, graph theory, probability theory, and analysis have been added.” Many topics are revised, esp. in Part IV ‘Distances in natural sciences’ and Part VI ‘Real-world distances’.
The book is not only a pure listing of distances in different areas but presents in great detail the underlying theory and the embedding of the notion into the application domain. The reader gains a lot from going into the details of the different domains.
For further information about the content of the book see the review for the 2nd edition [Zbl 1259.51001].

MSC:

51-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to geometry
00A20 Dictionaries and other general reference works
53-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to differential geometry
55-02 Research exposition (monographs, survey articles) pertaining to algebraic topology
51P05 Classical or axiomatic geometry and physics
52A10 Convex sets in \(2\) dimensions (including convex curves)
92B05 General biology and biomathematics
52A20 Convex sets in \(n\) dimensions (including convex hypersurfaces)
92-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to biology
57M25 Knots and links in the \(3\)-sphere (MSC2010)
51K05 General theory of distance geometry

Citations:

Zbl 1259.51001
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