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The Number System
Our Price:$9.95
Availability:In Stock
Environment:Made in USA
Author/Editor: H. A. Thurston
ISBN 10:0486458067
Product Info:Details, Table of Contents
The teaching of mathematics has undergone extensive changes in approach, with a shift in emphasis from rote memorization to acquiring an understanding of the logical foundations and methodology of problem solving. This book offers guidance in that direction, exploring arithmetic's underlying concepts...  read more
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Product Description:

The teaching of mathematics has undergone extensive changes in approach, with a shift in emphasis from rote memorization to acquiring an understanding of the logical foundations and methodology of problem solving. This book offers guidance in that direction, exploring arithmetic's underlying concepts and their logical development.
This volume's great merit lies in its wealth of explanatory material, designed to promote an informal and intuitive understanding of the rigorous logical approach to the number system. The first part explains and comments on axioms and definitions, making their subsequent treatment more coherent. The second part presents a detailed, systematic construction of the number systems of rational, real, and complex numbers. It covers whole numbers, hemigroups and groups, integers, ordered fields, the order relation for rationals, exponentiation, and real and complex numbers. Every step is justified by a reference to the appropriate theorem or lemma. Exercises following each chapter in Part II help readers test their progress and provide practice in using the relevant concepts.
Reprint of the 1967 Dover edition.

Product Details:

ISBN 10: 0486458067
ISBN 13: 9780486458069
Author/Editor: H. A. Thurston
Page Count: 144
Dimensions: 5 3/8 x 8 1/2
Publication date: April 2007
Table of Contents: Click here to view the Table of Contents

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