Number System - Thurston, H.A.

Number System

H.A. Thurston

Yayınevi: Dover Publications

Yayın tarihi: 04/2007

ISBN: 9780486458069

İngilizce | 144 Sayfa | 139 mm x 217 mm

Tür: Matematik-İstatistik

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This book guides undergraduate readers to the foundations of arithmetic in order to cultivate an appreciation of the concepts' logical development. Its explanatory material offers an informal and intuitive understanding of the rigorous logical approach. Numerous exercises help students test their progress and practice the concepts. Reprint of the Dover 1967 edition.

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

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