ULEAD
Goldrei Derek

Classic Set Theory: For Guided Independent Study - Londres: hapman and Hall / CRC, 1996 - 508 p. Digital - Chapman & Hall Mathematics S. .

REFERENCIA APA: Goldrei, D. (1996). Classic set theory : a guided independent study. London New York: Chapman & Hall.

Tabla de Contenido:
THE REAL NUMBERS
Introduction
Dedekind's construction
Alternative constructions
The rational numbers

THE NATURAL NUMBERS
Introduction
The construction of the natural numbers
Arithmetic
Finite sets

THE ZERMELO-FRAENKEL AXIOMS
Introduction
A formal language
Axioms 1 to 3
Axioms 4 to 6
Axioms 7 to 9

CARDINAL (Without the Axiom of Choice)
Introduction
Comparing Sizes
Basic properties of ˜ and =
Infinite sets without AC-countable sets
Uncountable sets and cardinal arithmetic without AC

ORDERED SETS
Introduction
Linearly ordered sets
Order arithmetic
Well-ordered sets

ORDINAL NUMBERS
Introduction
Ordinal numbers
Beginning ordinal arithmetic
Ordinal arithmetic
The Às

SET THEORY WITH THE AXIOM OF CHOICE
Introduction
The well-ordering principle
Cardinal arithmetic and the axiom of choice
The continuum hypothesis

0412606100


MATEMATICAS
TEORIA DE CONJUNTOS
IC19

Digital


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