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Chapman and Hall/CRC Chapman and Hall Classic Set Theory - Mathematics Study Guide

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Description

Classic Set Theory by Chapman and Hall/CRC provides a modern perspective on the foundational work of Georg Cantor and Richard Dedekind. Designed specifically for undergraduate students, this text serves as a guide for independent study in mathematics. It bridges the gap between historical mathematical concepts and modern applications, offering a clear path through the development of set theory. The book covers essential topics including the definition of real numbers through rational and natural numbers, the Zermelo-Fraenkel axioms, and the axiom of choice. Students will explore the arithmetic of ordered sets and Cantor's distinction between cardinal and ordinal transfinite numbers. This resource is an ideal tool for those seeking to master the potential paradoxes and fundamental structures of mathematical set theory through structured, independent learning.

Key Features

This Chapman and Hall/CRC text is designed for undergraduate students to facilitate guided independent study in mathematics.

The content explores the definition of real numbers using rational and natural number frameworks.

Students can study the Zermelo-Fraenkel axioms and the axiom of choice within a modern mathematical context.

The book covers Cantor's two types of transfinite numbers, specifically cardinals and ordinals, along with their arithmetic.

The curriculum includes an examination of the arithmetic of ordered sets and potential paradoxes in set theory.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
01 July 1996
Listed Since
08 February 2007

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