Literature about Set Theory

Here you will find a choice of text books on set theory and on the history of set theory. The choice is by no means representative, and you are kindly invited to make suggestions for further references via the contact form. Authors of textbooks are explicitly invited to inform about their books.

You will find a lot of more hints about relevant literature in the reference lists of the literature cited here.

The present unit is part of the following walks

Textbooks on Set Theory

[Bourbaki-2004] Bourbaki, Nicolas: Theory of Sets.
Springer Verlag, Berlin, Heidelberg, New York (2004).

Translation of Bourbaki-2006 into English.

[Bourbaki-2006] Bourbaki, Nicolas: Théorie des ensembles.
Springer Verlag, Berlin, Heidelberg, New York (2006).

This book is a reprint of the edition of 1970. The four chapters of Bourbaki-2006 have been first published separately in the years 1954 (Description de la mathématique formelle), 1939 and 1954 (Théorie des ensembles), 1956 (Ensembles ordonnés, cardinaux, nombres entiers) and 1956 (Structures).

[Brieskorn-2002] Brieskorn E., Chatterji, S., Epple, M., Felgner, U., Herrlich, H., Husek, M., Kanovei, V., Kopeke, P., Preuß, G., Purkert, W., Scholz, E. (Eds.):
Felix Hausdorff. Gesammelte Werke, Band 2: Grundzüge der Mengenlehre.
Springer Verlag, Berlin, Heidelberg, New York (2002).

For the first edition see Hausdorff-1914.

[Cohen-2008] Cohen, Paul Joseph: Set theory and the Continuum Hypothesis.
Dover Publications, Mineola, New York (2008).

This edition is a reprint of the first edition which appeared at W. A. Benjamin Inc., New York in 1966.

[Dedekind-1872] Dedekind, Richard: Stetigkeit und irrationale Zahlen.
Vieweg, Braunschweig (1872).

[Dedekind-1888] Dedekind, Richard: Was sind und was sollen die Zahlen?
Vieweg, Braunschweig (1888).

[Devlin-1993] Devlin, Keith: The Joy of Sets. Fundamentals of Contemporary Set Theory.
Springer Verlag, Berlin, Heidelberg, New York (1993).

[Drake-1974] Drake, Frank Robert: Set Theory. An Introduction to Large Cardinals.
North Holland Publishing Company, Amsterdam, New York (1974).

[Ebbinghaus-2003] Ebbinghaus, Heinz-Dieter: Einführung in die Mengenlehre.
4th edition, Spektrum Akademischer Verlag, Berlin, Heidelberg (2003).

The first edition appeared in 1975.

[Halmos-1960] Halmos, Paul Richard: Naive Set Theory.
The University Series in Undergraduate Mathematics, D. van Nostrand Company Inc., Princeton, New Jersey (1960).

[Hausdorff-1914] Hausdorff, Felix: Grundzüge der Mengenlehre.
Veit and Comp., Leipzig (1914).

For a new edition see Brieskorn-2002.

[Jech-1973] Jech, Thomas: The Axiom of Choice.
North Holland Publishing Company, Amsterdam, New York (1973).

[Jech-2003] Jech, Thomas: Set Theory.
2nd edition, Springer Verlag, Berlin, Heidelberg, New York (2003).

The first edition appeared in 1997.

[Levy-2002] Levy, Azriel: Basic Set Theory.
Dover Publications, Dover (2002).

The first edition appeared in 1979 at Springer Verlag. The 2002 edition is a slightly revised reprint of the 1979 edition.

[Monk-1969] Monk, J. Donald: Introduction to Set Theory.
McGraw-Hill, New York (1969).

[Suppes-1972] Suppes, Patrick: Axiomatic Set Theory.
Dover Publications, Dover (1972).

Textbooks on the History of Set Theory

[Ebbinghaus-2010] Ebbinghaus, Heinz-Dieter: Ernst Zermelo. An Approach to His Life and Work.
Springer Verlag, Berlin, Heidelberg, New York (2010).

[Ferreiros-2007] Ferreirós, José: Labyrinth of Thought – A History of Set Theory and its Role in Modern Mathematics.
2nd edition, Birkhäuser-Verlag, Basel (2007).

The first edition was published in 1999 in the series Science Networks – Historical Studies, vol. 23.