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Field name	Details
Dewey Class	511.3
Title	Theory of Sets ([EBook]) / by Nicolas Bourbaki.
Author	Bourbaki, Nicolas
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 2004.
Physical Details	VIII, 414 pages : online resource.
ISBN	9783642593093
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-642-59309-3
Links to Related Works	Subject References: Mathematical logic . Mathematical Logic and Foundations . Mathematics . Set functions . Authors: Bourbaki, Nicolas . Corporate Authors: SpringerLink (Online service) . Classification: 511.3 .

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Theory of Sets

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