The Joy of Sets : Fundamentals of Contemporary Set Theory

Keith Devlin

ISBN 10: 1461269415 / ISBN 13: 9781461269410

Edité par Springer, Springer, 2012

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - This book provides an account of those parts of contemporary set theory of direct relevance to other areas of pure mathematics. The intended reader is either an advanced-level mathematics undergraduate, a beginning graduate student in mathematics, or an accomplished mathematician who desires or needs some familiarity with modern set theory. The book is written in a fairly easy-going style, with minimal formalism. In Chapter 1, the basic principles of set theory are developed in a 'naive' manner. Here the notions of 'set', 'union', 'intersection', 'power set', 'rela tion', 'function', etc., are defined and discussed. One assumption in writing Chapter 1 has been that, whereas the reader may have met all of these 1 concepts before and be familiar with their usage, she may not have con sidered the various notions as forming part of the continuous development of a pure subject (namely, set theory). Consequently, the presentation is at the same time rigorous and fast.

N° de réf. du vendeur 9781461269410

Détails bibliographiques

• Titre: The Joy of Sets : Fundamentals of Contemporary Set Theory
• Éditeur: Springer, Springer
• Date de parution: 2012
• Langue: anglais
• ISBN à 10 chiffres: 1461269415
• ISBN à 13 chiffres: 9781461269410
• Reliure: Taschenbuch
• Édition: 2ème Édition
• État de l'article: Neu
• Dimensions: 235 L x 155 H x 12 P (en millimètres) 235 millimètres de largeur par 155 millimètres de hauteur par 12 millimètres de profondeur
• Poids: 324 grammes

A propos de ce titre

Synopsis

This new edition has been completely rewritten; it includes a new chapter on non-well-founded set theory, a subject of considerable importance in computer science. Written in an easy-to-follow, intuitive style, the book is intended for upper-level undergraduate or beginning graduate students in mathematics, logic, philosophy, or computer science.

Présentation de l'éditeur

This text covers the parts of contemporary set theory relevant to other areas of pure mathematics. After a review of "naïve" set theory, it develops the Zermelo-Fraenkel axioms of the theory before discussing the ordinal and cardinal numbers. It then delves into contemporary set theory, covering such topics as the Borel hierarchy and Lebesgue measure. A final chapter presents an alternative conception of set theory useful in computer science.