£190.34

CRC Press Classic Set Theory - For Guided Independent Study

Name: CRC Press Classic Set Theory - For Guided Independent Study
Brand: CRC Press
Price: 190.34 GBP
Availability: InStock

Discrete Mathematics

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Description

Classic Set Theory by CRC Press provides a modern perspective on the foundational work of Georg Cantor and Richard Dedekin. This text is specifically designed for undergraduate students seeking a structured approach to set theory through guided independent study. It bridges the gap between historical mathematical concepts and modern applications, making it a valuable resource for those studying discrete mathematics. Readers will explore the fundamental construction of number systems, including how to define real numbers using rational numbers and eventually natural numbers. The text also covers the essential process of defining natural numbers in terms of sets. By navigating through potential paradoxes and the Zermelo-Fraenkel axioms, students gain a deep understanding of the mathematical frameworks that govern the field. This book serves as a comprehensive guide for mastering the arithmetic of ordered sets and the distinction between Cantor's two types of transfinite numbers: cardinals and ordinals.

Key Features

Designed for undergraduate students to facilitate effective guided independent study of set theory concepts.

Covers the essential construction of the real number system starting from rational and natural numbers.

Provides a detailed look at the Zermelo-Fraenkel axioms and the axiom of choice for foundational learning.

Explains the potential paradoxes in set theory to help students understand mathematical limitations and logic.

Includes comprehensive study of Cantor's transfinite numbers, specifically covering both cardinals and ordinals.

Explores the arithmetic of ordered sets to build a strong mathematical foundation for advanced study.

Product Specifications

Brand: CRC Press
Format: hardcover
ASIN: 1138466913
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Discrete Mathematics
Domain: Amazon UK
Release Date: 21 August 2017
Listed Since: 26 July 2017

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CRC Press Classic Set Theory - For Guided Independent Study

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