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The Number System

List Price: $9.95
SKU:
9780486458069
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  • Product Details

    Author:
    H. A. Thurston
    Format:
    Paperback
    Pages:
    144
    Publisher:
    Dover Publications (April 19, 2007)
    Language:
    English
    ISBN-13:
    9780486458069
    ISBN-10:
    0486458067
    Weight:
    6.48oz
    Dimensions:
    5.375" x 8.5"
    Case Pack:
    54
    Series:
    Dover Books on Mathematics
    File:
    Dover-Dover_06012026_P10157433_onix30_Complete-20260601.xml
    As low as:
    $9.45
    List Price:
    $9.95
    Publisher Identifier:
    P-DOVER
    Discount Code:
    D
    Audience:
    College/higher education
    Pub Discount:
    65
    Imprint:
    Dover Publications
    Folder:
    Dover
  • Overview

    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.