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Theory and problems of set theory and related topics (1964)
Theory and problems of set theory and related topics [texte imprimé] / Seymour Lipschutz (1931-...), Auteur . - New York : McGraw-Hill, 1964 . - 233 p. : ill. ; 28 cm. - (Schaum's outline series) .
ISSN : 07-037986-6
La couv. porte en plus : Functions, relations, cardinal and ordinal numbers, transfinite induction, Zorn's lemma, algebra of propositions, boolean algebra; including 530 solved problems. -Index
Langues : Anglais (eng)
Mots-clés : Théorie des ensembles -- Problèmes et exercices
Fonctions d'une variable réelle -- Problèmes et exercices
Boole, Algèbre de -- Problèmes et exercices
Set theory
Functions of real variables
FunctionsIndex. décimale : 519.5 Théorie des ensembles Résumé :
Theory of sets lies at the foundations of mathematics. Concepts in set theory, such as functions and relations, appear explicity or implicitly in every branch of mathematics. This text is an informal, non-axiomatic tratment of the theory of sets.Note de contenu : Summary :
I. Elementary theory of sets.
1. Sets and subsets.
2. Basic set operations.
3. Sets of numbers.
...
II. Cardinals, ordinals, and transfinite induction.
9. Cardinal numbers.
10. Partially and totally ordered sets.
11. Well-orderes sets. Ordinal numbers.
...
III. Related topics.
14. Algebra of propoditions.
15. Quantifiers.
16. Boolean algebra.
17. Logical reasoning.
