Number Systems and the Foundations of Analysis by Elliott Mendelson

Number Systems and the Foundations of Analysis by Elliott Mendelson

This study of basic number systems explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Written by a noted expert on logic and set theory, it assumes no background in abstract mathematical thought. Undergraduates and beginning graduate students will find this treatment an ideal introduction to number systems, particularly in terms of its detailed proofs.
Starting with the basic facts and notions of logic and set theory, the text offers an axiomatic presentation of the simplest structure, the system of natural numbers. It proceeds, by set-theoretic methods, to an examination of integers that covers rings and integral domains, ordered integral domains, and natural numbers and integers of an integral domain. A look at rational numbers and ordered fields follows, along with a survey of the real number system that includes considerations of least upper bounds and greatest lower bounds, convergent and Cauchy sequences, and elementary topology. Numerous exercises and several helpful appendixes supplement the text.

Dutch mathematician Nicolaas Covert (Dick) de Brujin is Professor Emeritus at the Eindhoven University of Technology. He has been involved in many areas of mathematics and is currently working on models for the human brain.

SKU	Unavailable
ISBN 13	9780486457925
ISBN 10	0486457923
Title	Number Systems and the Foundations of Analysis
Author	Elliott Mendelson
Series	Dover Books On Mathematics
Condition	Unavailable
Binding Type	Paperback
Publisher	Dover Publications Inc.
Year published	2008-12-18
Number of pages	368
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.