Number Systems and the Foundations of Analysis (Dover Books on Mathematics)

ISBN-13: 9780486457925
ISBN-10: 0486457923
Author: Mendelson, Elliott, Mathematics
Publication date: 2008
Publisher: Dover Publications, Inc.
Format: Paperback 358 pages
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Book details

ISBN-13: 9780486457925
ISBN-10: 0486457923
Author: Mendelson, Elliott, Mathematics
Publication date: 2008
Publisher: Dover Publications, Inc.
Format: Paperback 358 pages

Summary

Acknowledged authors Mendelson, Elliott, Mathematics wrote Number Systems and the Foundations of Analysis (Dover Books on Mathematics) comprising 358 pages back in 2008. Textbook and eTextbook are published under ISBN 0486457923 and 9780486457925. Since then Number Systems and the Foundations of Analysis (Dover Books on Mathematics) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

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.

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