This is a softcover reprint of the English translation of 1968 of N. Bourbaki's, Théorie des Ensembles (1970). I. Description of Formal Mathematics.- 1. Terms and relations.- 2. Theorems.- 3. Logical theories.- 4. Quantified theories.- 5. Equalitarian theories.- Appendix. Characterization of terms and relations.- Exercises for 1.- Exercises for 2.- Exercises for 3.- Exercises for 4.- Exercises for 5.- Exercises for the Appendix.- II. Theory of Sets.- 1. Collectivizing relations.- 2. Ordered pairs.- 3. Correspondences.- 4. Union and intersection of a family of sets.- 5. Product of a family of sets.- 6. Equivalence relations.- Exercises for 1.- Exercises for 2.- Exercises for 3.- Exercises for 4.- Exercises for 5.- Exercises for 6.- III. Ordered Sets, Cardinals, Integers.- 1. Order relations. Ordered sets.- 2. Well-ordered sets.- 3. Equipotent sets. Cardinals.- 4. Natural integers. Finite sets.- 5. Properties of integers.- 6. Infinite sets.- 7. Inverse limits and direct limits.- Exercises for 1.- Exercises for 2.- Exercises for 3.- Exercises for 4.- Exercises for 5.- Exercises for 6.- Exercises for 7.- Historical Note on 5.- IV. Structures.- 1. Structures and isomorphisms.- 2. Morphisms and derived structures.- 3. Universal mappings.- Exercises for 1.- Exercises for 2.- Exercises for 3.- Historical Note on Chapters I-IV.- Summary of Results.- 1. Elements and subsets of a set.- 2. Functions.- 3. Products of sets.- 4. Union, intersection, product of a family of sets.- 5. Equivalence relations and quotient sets.- 6. Ordered sets.- 7. Powers. Countable sets.- 8. Scales of sets. Structures.- Index of notation.- Index of terminology.- Axioms and schemes of the theory of sets.
