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Naive Set Theory

BuchGebunden
104 Seiten
Englisch
Springererschienen am16.01.19981974
Every mathematician agrees that every mathematician must know some set theory; The purpose of the book is to tell the beginning student of advanced mathematics the basic set­ theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism.mehr
Verfügbare Formate
BuchGebunden
EUR90,94
BuchKartoniert, Paperback
EUR90,94
E-BookPDF1 - PDF WatermarkE-Book
EUR90,94

Produkt

KlappentextEvery mathematician agrees that every mathematician must know some set theory; The purpose of the book is to tell the beginning student of advanced mathematics the basic set­ theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism.
Details
ISBN/GTIN978-0-387-90092-6
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr1998
Erscheinungsdatum16.01.1998
Auflage1974
ReiheUndergraduate Texts in Mathematics
Seiten104 Seiten
SpracheEnglisch
Gewicht333 g
IllustrationenVII, 104 p. 1 illus.
Artikel-Nr.11302407

Inhalt/Kritik

Inhaltsverzeichnis
1 The Axiom of Extension.- 2 The Axiom of Specification.- 3 Unordered Pairs.- 4 Unions and Intersections.- 5 Complements and Powers.- 6 Ordered Pairs.- 7 Relations.- 8 Functions.- 9 Families.- 10 Inverses and Composites.- 11 Numbers.- 12 The Peano Axioms.- 13 Arithmetic.- 14 Order.- 15 The Axiom of Choice.- 16 Zorn´s Lemma.- 17 Well Ordering.- 18 Transfinite Recursion.- 19 Ordinal Numbers.- 20 Sets of Ordinal Numbers.- 21 Ordinal Arithmetic.- 22 The Schröder-Bernstein Theorem.- 23 Countable Sets.- 24 Cardinal Arithmetic.- 25 Cardinal Numbers.mehr
Kritik
From the reviews:

"This book is a very specialized but broadly useful introduction to set theory. It is aimed at 'the beginning student of advanced mathematics' ... who wants to understand the set-theoretic underpinnings of the mathematics he already knows or will learn soon. It is also useful to the professional mathematician who knew these underpinnings at one time but has now forgotten exactly how they go. ... A good reference for how set theory is used in other parts of mathematics ... ." (Allen Stenger, The Mathematical Association of America, September, 2011)mehr