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Classic Set Theory : For Guided Independent Study by D. C. Goldrei (1996, Uk-B Format Paperback)

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About this product

Product Identifiers

PublisherCRC Press LLC

ISBN-100412606100

ISBN-139780412606106

eBay Product ID (ePID)334872

Product Key Features

Number of Pages296 Pages

LanguageEnglish

Publication NameClassic Set Theory : for Guided Independent Study

Publication Year1996

SubjectGeneral, Set Theory

TypeTextbook

AuthorD. C. Goldrei

Subject AreaMathematics

FormatUk-B Format Paperback

Dimensions

Item Height0.6 in

Item Weight19.5 Oz

Item Length10 in

Item Width8.1 in

Additional Product Features

Intended AudienceCollege Audience

LCCN96-085139

IllustratedYes

Table Of ContentPreface, 1 Introduction, 2 The Real Numbers, 3 The Natural Numbers, 4 The Zermelo-Fraenkel Axioms, 5 The Axiom of Choice, 6 Cardinals (without the Axiom of Choice), 7 Ordered Sets, 8 Ordinal Numbers, 9 Set Theory with the Axiom of Choice, Bibliography, Index

SynopsisDesigned for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work of Georg Cantor and Richard Dedekin and their immediate successors. This includes: The definition of the real numbers in terms of rational numbers and ultimately in terms of natural numbers Defining natural numbers in terms of sets The potential paradoxes in set theory The Zermelo-Fraenkel axioms for set theory The axiom of choice The arithmetic of ordered sets Cantor's two sorts of transfinite number - cardinals and ordinals - and the arithmetic of these. The book is designed for students studying on their own, without access to lecturers and other reading, along the lines of the internationally renowned courses produced by the Open University. There are thus a large number of exercises within the main body of the text designed to help students engage with the subject, many of which have full teaching solutions. In addition, there are a number of exercises without answers so students studying under the guidance of a tutor may be assessed. Classic Set Theory gives students sufficient grounding in a rigorous approach to the revolutionary results of set theory as well as pleasure in being able to tackle significant problems that arise from the theory., Taking a modern perspective on this classical subject, this textbook supplies students with sufficient grounding in a rigorous approach to the revolutionary results of set theory and enables them to tackle significant problems that arise from the theory. It assumes some experience with using sets, function, basic logic, and the fundamentals of real analysis. Specifically designed for self-study, the text provides a wealth of exercises that range from routine practice problems to rather difficult ones, including some without clear-cut answers that are intended to spark debate. It includes full solutions to many of the exercises.