(English: ''Basics of Set Theory'') is a book on

set theory Set theory is the branch of mathematical logic that studies Set (mathematics), 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 mathema ...

written by

Felix Hausdorff Felix Hausdorff ( , ; November 8, 1868 – January 26, 1942) was a German mathematician, pseudonym Paul Mongré (''à mogré' (Fr.) = "according to my taste"), who is considered to be one of the founders of modern topology and who contributed sig ...

. First published in April 1914, was the first comprehensive introduction to set theory. In addition to the systematic treatment of known results in set theory, the book also contains chapters on

measure theory In mathematics, the concept of a measure is a generalization and formalization of geometrical measures (length, area, volume) and other common notions, such as magnitude (mathematics), magnitude, mass, and probability of events. These seemingl ...

and

topology Topology (from the Greek language, Greek words , and ) is the branch of mathematics concerned with the properties of a Mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformat ...

, which were then still considered parts of set theory. Hausdorff presented and developed original material that later became the basis for those areas. In 1927, Hausdorff published an extensively revised second edition under the title ''Mengenlehre'' (English: ''Set Theory''), omitting many topics from the first edition. In 1935, a third German edition was released, which in 1957 was translated into English by John R. Aumann et al. under the title ''Set Theory''.

References

*. * * Reprinted by Chelsea Publishing Company in 1944, 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 ha ...

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