Grundzüge der Mengenlehre

Grundzüge der Mengenlehre

First edition
Author	Felix Hausdorff
Translator	John R. Aumann et al. (English translation)
Language	German
Subject	Set theory, mathematics
Genre	Non-fiction
Publication date	April 1914
Publication place	Germany
Published in English	1957

Grundzüge der Mengenlehre (English: Basics of Set Theory) is a book on set theory written by Felix Hausdorff.

First published in April 1914, Grundzüge der Mengenlehre 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 and topology, 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

• Blumberg, Henry (1920), "Hausdorff's Grundzüge der Mengenlehre", Bulletin of the American Mathematical Society, 27 (3): 116–129, doi:10.1090/S0002-9904-1920-03378-1.
• Gehman, H. M. (1927), "Hausdorff's Revised Mengenlehre", Bull. Amer. Math. Soc., 33 (6): 778–781, doi:10.1090/S0002-9904-1927-04478-0
• Hausdorff, Felix (1914), Grundzüge der Mengenlehre, Leipzig: Veit, ISBN 978-0-8284-0061-9 Reprinted by Chelsea Publishing Company in 1944, 1949 and 1965 [1].
• Hausdorff, F. (1935) [1927], Mengenlehre (3 ed.), Berlin-Leipzig: de Gruyter Republished by Dover Publications, New York, N. Y., 1944
• Hausdorff, Felix (1962) [1957], Set theory (2 ed.), New York: Chelsea Publishing Company, ISBN 978-0821838358 Republished by AMS-Chelsea 2005.
• Scholz, Erhard (2005), Felix Hausdorff and the Hausdorff edition (PDF). Extended edition of a chapter in The Princeton Companion to Mathematics.