The Number Systems Of Analysis
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Number Systems and the Foundations of Analysis
Author: Elliott Mendelson
language: en
Publisher: Dover Books on Mathematics
Release Date: 2008
Geared toward undergraduate and beginning graduate students, this study explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Numerous exercises and appendixes supplement the text. 1973 edition.
The Number System
Author: H. A. Thurston
language: en
Publisher: Courier Corporation
Release Date: 2012-10-23
This book explores arithmetic's underlying concepts and their logical development, in addition to a detailed, systematic construction of the number systems of rational, real, and complex numbers. 1956 edition.
The Number Systems Of Analysis
Author: Charles Little
language: en
Publisher: World Scientific Publishing Company
Release Date: 2003-09-05
Although students of analysis are familiar with real and complex numbers, few treatments of analysis deal with the development of such numbers in any depth. An understanding of number systems at a fundamental level is necessary for a deeper grasp of analysis. Beginning with elementary concepts from logic and set theory, this book develops in turn the natural numbers, the integers and the rational, real and complex numbers. The development is motivated by the need to solve polynomial equations, and the book concludes by proving that such equations have solutions in the complex number system.