Detalles del Título
Detalles del Título

< Ant.
Sig. >
 
Título Axiomatic set theoryLibros / Impreso - Libros
Autor(es) Suppes, Patrick (Filósofo estadounidense), 1922-2014 (Autor)
Publicación New York (Usa) : Dover Publications, Inc, 1972 c1960
Descripción Física xii, 267 p.
Idioma Inglés;
ISBN 0486616304
Clasificación(es) 511.3
Materia(s) TEORIA DE CONJUNTOS; AXIOMAS - TEORIAS; ARITMETICA - PROBLEMAS, EJERCICIOS, ETC.; MATEMATICAS - PROBLEMAS, EJERCICIOS, ETC.; FUNCIONES - PROBLEMAS, EJERCICIOS, ETC.; METODO DE ELEMENTOS FINITOS; NUMEROS CARDINALES - PROBLEMAS, EJERCICIOS, ETC.; NUMEROS ORDINALES - PROBLEMAS, EJERCICIOS, ETC.; NUMEROS REALES - PROBLEMAS, EJERCICIOS, ETC.; TEORIA DE LOS NUMEROS; NUMEROS RACIONALES - PROBLEMAS, EJERCICIOS, ETC.;
Nota(s) INCLUYE: notas de pie de página, ejercicios al final de cada capítulo, referencias bibliográficas, glosario de simbolos, índice de autores e índice de materias. -- CONTENIDO: Introduction. General developments. Relations and functions. Equipollence, finite sets, and cardinal numbers. Finite ordinals and denumerable sets. Rational numbers and real numbers. Transfinite induction and ordinal arithmetic. The axiom of choice
Contenido: 1. Introduction. Set Theory and the Foundations of Mathematics. Logic and Notation. Axiom. Schema of Abstraction and Russell's Paradox. More Paradoxes. Preview of Axioms. -- 2. General developments. Preliminaries: Formulas and Definitions. Axioms of Extensionality and Separation. Intersection, Union, and Difference of Sets. Pairing Axiom and Ordered Pairs. Definition by Abstraction. Sum Axiom and Families of Sets. Power Set Axiom. Cartesian Product of Sets. Axiom of Regularity. Summary of Axioms. -- 3. Relations and functions. Operations on Binary Relations. Ordering Relations. Equivalence Relations and Partitions. Functions. -- 4. Equipollence, finite sets, and cardinal numbers. Equipollence. Finite Sets. Cardinal Numbers. Finite Cardinals. -- 5. Finite ordinals and denumerable sets. Definition and General Properties of Ordinals. Finite Ordinals and Recursive Definitions. Denumerable Sets. -- 6. Rational numbers and real numbers. Introduction. Fractions. Non-negative Rational Numbers. Rational Numbers. Cauchy Sequences of Rational Numbers. Real Numbers. Sets of the Power of the Continuum. -- 7. Transfinite induction and ordinal arithmetic. Transfinite Induction and Definition by Transfinite Recursion. Elements of Ordinal Arithmetic. Cardinal Numbers Again and Alephs. Well-Ordered Sets. Revised Summary of Axioms. -- 8. The axiom of choice. Some Applications of the Axiom of Choice. Equivalents of the Axiom of Choice. Axioms Which Imply the Axiom of Choice. Independence of the Axiom of Choice and the Generalized Continuum Hypothesis.
Ver en otras Bibliotecas Catálogo Mundial - WorldCat
Ver en Google Books Google Books
Disponibilidad
CodBarras Localización Estante Signatura Estado Categoría
200014887Biblioteca Sede DuitamaDUITAMA Piso 2 (Ciencia y Tecnología)GE 511.3 S959a ej.1DisponiblePrést Largo
200014888Biblioteca Sede DuitamaDUITAMA Piso 2 (Ciencia y Tecnología)GE 511.3 S959a ej.2DisponiblePrést Largo