The Joy of Sets : Fundamentals of Contemporary Set Theory

Keith Devlin

ISBN 10: 1461269415 / ISBN 13: 9781461269410

Published by Springer New York, Springer New York, 2012

About this Item

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.

Seller Inventory # 9781461269410

Bibliographic Details

• Title: The Joy of Sets : Fundamentals of Contemporary Set Theory
• Publisher: Springer New York, Springer New York
• Publication Date: 2012
• Language: English
• ISBN 10: 1461269415
• ISBN 13: 9781461269410
• Binding: Taschenbuch
• Edition: 2nd Edition
• Condition: Neu

About this title

Synopsis

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.