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Klein's Encyclopedia of Mathematical Sciences

Felix Klein's Encyclopedia of Mathematical Sciences is a German mathematical encyclopedia published in six volumes from 1898 to 1933. Klein and Wilhelm Franz Meyer were organizers of the encyclopedia. Its full title in English is Encyclopedia of Mathematical Sciences Including Their Applications, which is Encyklopädie der mathematischen Wissenschaften mit Einschluss ihrer Anwendungen (EMW). It is 20,000 pages in length (6 volumes, i.e. Bände, published in 23 separate books and was published by B.G. Teubner Verlag, publisher of Mathematische Annalen.

Today, Göttinger Digitalisierungszentrum provides online access to all volumes, while archive.org hosts some particular parts.

Walther von Dyck acted as chairman of the commission to publish the encyclopedia. In 1904 he contributed a preparatory report on the publication venture in which the mission statement is given.

The preparatory report (Einleitender Bericht) serves as the Preface for the EMW. In 1908 von Dyck reported on the project to the International Congress of Mathematicians in Rome.

Nominally, Wilhelm Franz Meyer was the founder president of the project and assembled volume (Band) 1 (in 2 separate books), "Arithmetic and Algebra", that appeared between 1898 and 1904. D. Selivanov expanded his 20-page article on finite differences in Volume 1, Part 2 into a 92-page monograph published under the title Lehrbuch der Differenzenrechnung.

Volume 2 (in 5 separate books), the "Analysis" series printed between 1900 and 1927 had coeditors Wilhelm Wirtinger and Heinrich Burkhardt. Burkhardt condensed his extensive historical review of mathematical analysis that appeared in the Jahresbericht of the German Mathematical Society for a shorter contribution to the EMW.

Volume 3 (in 6 separate books) on geometry was edited by Wilhelm Franz Meyer. These articles were published between 1906 and 1932 with the book Differentialgeometrie published in 1927 and the book Spezielle algebraische Flächen in 1932. Significantly, Corrado Segre contributed an article on "Higher-dimensional space" in 1912 that he updated in 1920. The latter was reviewed by T.R. Hollcroft.

Volume 4 (in 4 separate books) of EMW concerned mechanics, and was edited by Felix Klein and Conrad Müller [de]. Arnold Sommerfeld edited volume 5 (in 3 separate books) on "Physics", a series that ran until 1927.

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