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, Nicolas (2006). Théorie des ensembles. Berlin, Heidelberg, and New York: Springer Verlag.
This book is a reprint of the edition of 1970. The four chapters of this book 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).

— (2004). Theory of Sets. Berlin, Heidelberg, and New York: Springer Verlag. Translation of [Bourbaki 2006] into English.

Cohen, Paul Joseph (2008). Set theory and the Continuum Hypothesis. Mineola and New York: Dover Publications.
This edition is a reprint of the first edition which appeared at W. A. Benjamin Inc., New York in 1966.

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

— (1888). Was sind und was sollen die Zahlen? Braunschweig: Vieweg.

— (1932). Gesammelte mathematische Werke. Ed. by Robert Fricke, Emmy Noether, and Öystein Ore. Braunschweig: Vieweg.
There are three volumes: Volume 1: (1930), Volume 2: (1931), Volume 3: (1932).

Devlin, Keith (1932). The Joy of Sets. Fundamentals of Contemporary Set Theory. Berlin, Heidelberg, and New York: Springer Verlag.

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

Drake, Frank Robert and Dasharath Singh (1996). Intermediate Set Theory. Chichester: John Wiley.

Ebbinghaus, Heinz-Dieter (2003). Einführung in die Mengenlehre. 4th ed. Berlin and Heidelberg: Spektrum Akademischer Verlag. The first edition appeared in 1975.

Fraenkel, Adolf (1928). Einleitung in die Mengenlehre. 3rd ed. Berlin: Springer Verlag.
The first edition appeared in 1919.

Friedrichsdorf, Ulf and Alexander Prestel (1985). Mengenlehre für den Mathematiker. Vieweg Studium: Grundkurs Mathematik. Braunschweig: Vieweg.
The first edition appeared in 1919.

Hajnal, András and Peter Hamburger (1999). Set Theory. Cambridge: Cambridge University Press.
Translation from the Hungarian Original (1983) by Attila Máté.

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

Hausdorff, Felix (1914). Grundzüge der Mengenlehre. Leipzig: Veit and Comp.
For a new edition see [Hausdorff 2002].

— (2002). Gesammelte Werke. Vol. 2: Grundzüge der Mengenlehre. Ed. by Brieskorn E. et al. Berlin, Heidelberg, and New York: Springer Verlag.
For the first edition see [Hausdorff 1914].

Hbracek, Karel and Thomas Jech (1999). Introduction to Set Theory. 3rd ed. Vol. 220. Monographs and Textbooks in Pure and Applied Mathematics. New York: Marcel Dekker.

Herrlich, Horst (2006). Axiom of Choice. Lecture Notes in Mathematics. Heidelberg, Berlin, and New York: Springer Verlag.

Howard, Paul and Jean Rubin (1998). Consequences of the Axiom of Choice. Providence: American Mathematical Society.

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

— (2003). Set Theory. 2nd ed. Berlin, Heidelberg, and New York: Springer Verlag.
The first edition appeared in 1978 (Academic Press, New York).

Just, Winfried and Martin Weese (1996). Discovering Modern Set Theory. Set-theoretic Tools for Every Mathematician. Vol. 1. Providence: American Mathematical Society.

— (1997). Discovering Modern Set Theory. Set-theoretic Tools for Every Mathematician. Vol. 2. Providence: American Mathematical Society.

Kunen, Kenneth (1980). Set Theory. An Introduction to Independence Proofs. Vol. 102. Studies in Logic and the Foundations of Mathematics. Amsterdam: North-Holland.

Levy, Azriel (2002). Basic Set Theory. Dover: Dover Publications.
The first edition appeared in 1979 at Springer Verlag. The 2002 edition is a slightly revised reprint of the 1979 edition.

Moschovakis, Yiannis (1994). Notes on Set Theory. Heidelberg, Berlin, and New York: Springer Verlag.

Potter, Michael (1990). Sets. An Introduction. Oxford: Clarendon Press.

Tourlakis, George (2003). Lectures in Logic and Set Theory. Two volumes. Cambridge: Cambridge University Press.

Vaught, Robert (1995). Set Theory. Two volumes. 2nd ed. Boston: Birkhäuser.
The first edition appeared in 1985.

Textbooks on the History of Set Theory

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

Ferreirós, José (2007). Labyrinths of Thought. A History of Set Theory and its Role in Modern Mathematics. Basel: Birkhäuser.
The first edition appeared in 1999 in the series Science Networks – Historical Studies, vol. 23.