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The Number System - (Dover Books on Mathematics) by H A Thurston (Paperback)
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About this item
Highlights
- 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.
- Author(s): H A Thurston
- 144 Pages
- Mathematics, Arithmetic
- Series Name: Dover Books on Mathematics
Description
About the Book
This book explores arithmetic's underlying concepts and their logical development, in addition to a detailed, systematic construction of the number systems of rational, real, and complex numbers. 1956 edition.Book Synopsis
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.
Dimensions (Overall): 8.51 Inches (H) x 5.46 Inches (W) x .28 Inches (D)
Weight: .35 Pounds
Suggested Age: 22 Years and Up
Number of Pages: 144
Genre: Mathematics
Sub-Genre: Arithmetic
Series Title: Dover Books on Mathematics
Publisher: Dover Publications
Format: Paperback
Author: H A Thurston
Language: English
Street Date: April 19, 2007
TCIN: 77734603
UPC: 9780486458069
Item Number (DPCI): 247-61-2978
Origin: Made in the USA or Imported
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Shipping details
Estimated ship dimensions: 0.28 inches length x 5.46 inches width x 8.51 inches height
Estimated ship weight: 0.35 pounds
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