For the best experience, please enable Javascript
Warning - This version of Internet Explorer is out of date. It has known security flaws and may not display all features of this website correctly. Please consider updating this browser.

Number Systems and the Foundations of Analysis

Number Systems and the Foundations of Analysis

By: Elliott Mendelson

  • Book
  • Reg. Price › $19.95
  • Share this book:
  • Share on Google+

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.

Reprint of the Academic Press, New York, 1973 edition.
AvailabilityUsually ships in 24 to 48 hours
ISBN 100486457923
ISBN 139780486457925
Author/EditorElliott Mendelson
Page Count368
Dimensions5 3/8 x 8 1/2

You might also Like...

Product Review

Out of Stock Notification:
Coming Soon: