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Ettore Majorana International Science Ser.: Theory of Sets by Nicolas Bourbaki (2004, Trade Paperback)
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About this product
Product Identifiers
PublisherSpringer Berlin / Heidelberg
ISBN-103540225250
ISBN-139783540225256
eBay Product ID (ePID)43452412
Product Key Features
Number of PagesVIII, 414 Pages
Publication NameTheory of Sets
LanguageEnglish
SubjectGeneral, Logic
Publication Year2004
TypeTextbook
Subject AreaMathematics, Philosophy
AuthorNicolas Bourbaki
SeriesEttore Majorana International Science Ser.
FormatTrade Paperback
Dimensions
Item Weight26.9 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN2004-110815
Series Volume Number18
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal511/.3
Table Of ContentI. 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.
SynopsisThis is a softcover reprint of the English translation of 1968 of N. Bourbaki's, Theorie des Ensembles (1970)., This is a softcover reprint of the English translation of 1968 of N. Bourbaki's, Th orie des Ensembles (1970)., This is a softcover reprint of the English translation of 1968 of N. Bourbaki's, Théorie des Ensembles (1970).
LC Classification NumberQA8.9-10.3
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