Classic Set Theory by Dc Goldrei

Classic Set Theory by Dc Goldrei

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Summary

Designed for undergraduate students of set theory, this book presents a modern perspective of the classic work of Georg Cantor and Richard Dedekin and their immediate successors. It aims to give students a grounding to the results of set theory as well as to tackle significant problems that arise from the theory.

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Classic Set Theory by Dc Goldrei

Designed 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.
SKU Unavailable
ISBN 13 9780412606106
ISBN 10 0412606100
Title Classic Set Theory
Author Dc Goldrei
Condition Unavailable
Binding Type Paperback
Publisher Taylor & Francis Ltd
Year published 1996-07-01
Number of pages 296
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.