The Number System

by H. A. Thurston

Overview

This book explores arithmetic's underlying concepts and their logical development. It offers an informal and intuitive understanding of the rigorous logical approach, in addition to a detailed, systematic construction of the number systems of rational, real, and complex numbers. Numerous exercises help students test their progress and practice concepts. 1956 edition.

Product Details

ISBN-13:	9780486154947
Publisher:	Dover Publications
Publication date:	09/25/2012
Series:	Dover Books on Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	144
File size:	22 MB
Note:	This product may take a few minutes to download.

Table of Contents

Part I: Explanatory Treatment
1. Counting
2. Whole Numbers
3. The Laws of Arithmetic
4. Fractions
5. Negative Numbers
6. Fields
7. Irrational Numbers
8. Powers
9. Complex Numbers
10. Verification of the Axioms
11. Alternative Treatments
Part II: Systematic Treatment
1. Whole Numbers
2. Hemigroups and Groups
3. Integers
4. Fields
5. Rational Numbers
6. Ordered Fields
7. The Order-Relation for Rationals
8. Exponentiation
9. Cauchy Numbers
10. Real Numbers
11. Complex Numbers
Bibliography
Key to the Exercises
Index