''Grundzüge der Mengenlehre'' (German for "Basics of Set Theory") is a book on

set theory Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly conce ...

written by

Felix Hausdorff Felix Hausdorff ( , ; November 8, 1868 – January 26, 1942) was a German mathematician who is considered to be one of the founders of modern topology and who contributed significantly to set theory, descriptive set theory, measure theory, an ...

. First published in April 1914, ''Grundzüge der Mengenlehre'' was the first comprehensive introduction to set theory. Besides the systematic treatment of known results in set theory, the book also contains chapters on measure theory and

topology In mathematics, topology (from the Greek words , and ) is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing ...

, which were then still considered parts of set theory. Hausdorff presented and developed original material which was later to become the basis for those areas. In 1927 Hausdorff published an extensively revised second edition under the title ''Mengenlehre'' (German for "Set Theory"), with many of the topics of the first edition omitted. In 1935 there was a third German edition, which in 1957 was translated by John R. Aumann ''et al.'' into English under the title ''Set Theory''. The author, Felix Hausdorff, committed suicide on 26 January 1942, along with his wife and his sister-in-law, to avoid the Nazi holocaust, after being ordered to report for deportation.

Chelsea Publishing Company The Chelsea Publishing Company was a publisher of mathematical books, based in New York City, founded in 1944 by Aaron Galuten while he was still a graduate student at Columbia Columbia may refer to: * Columbia (personification), the historical ...

reprinted the book in New York City in German in 1949 and 1965, but never issued an English translation of this first edition to date.

References

*. * * Reprinted by

in 1949 and 196

* Republished by Dover Publications, New York, N. Y., 1944 * Republished by AMS-Chelsea 2005. *. Extended edition of a chapter in ''

The Princeton Companion to Mathematics ''The Princeton Companion to Mathematics'' is a book providing an extensive overview of mathematics that was published in 2008 by Princeton University Press. Edited by Timothy Gowers with associate editors June Barrow-Green and Imre Leader, it ...

''. 1914 non-fiction books Mathematics books {{Mathematics-lit-stub