Difference between revisions of "Book:Richard Dedekind/Essays on the Theory of Numbers"
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| − | {{Book| | + | {{Book|Essays on the Theory of Numbers|1901|The Open Court Publishing Company| |Richard Dedekind}} |
| + | |||
| + | ===Online copies=== | ||
| + | [https://archive.org/details/cu31924001586282 hosted by archive.org]<br /> | ||
===Contents=== | ===Contents=== | ||
:I. CONTINUITY AND THE IRRATIONAL NUMBERS | :I. CONTINUITY AND THE IRRATIONAL NUMBERS | ||
::Preface | ::Preface | ||
| − | ::I. | + | ::I. Properties of Rational Numbers |
| − | ::II. | + | ::II. Comparison of the Rational Numbers with the Points of a Straight Line |
| − | ::III. | + | ::III. Continuity of the Straight Line |
| − | ::IV. | + | ::IV. Creation of the Irrational Numbers |
| − | ::V. | + | ::V. Continuity of the Domain of Real Numbers |
| − | ::VI. | + | ::VI. Operations with Real Numbers |
| − | ::VII. | + | ::VII. Infinitesimal Analysis |
:II. THE NATURE AND MEANING OF NUMBERS | :II. THE NATURE AND MEANING OF NUMBERS | ||
::Prefaces | ::Prefaces | ||
| Line 29: | Line 32: | ||
::XIII. Involution of Numbers | ::XIII. Involution of Numbers | ||
::XIV. Number of the Elements of a Finite System | ::XIV. Number of the Elements of a Finite System | ||
| − | + | [[Category:Book]] | |
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Latest revision as of 16:41, 21 June 2016
Richard Dedekind: Essays on the Theory of Numbers
Published $1901$, The Open Court Publishing Company.
Online copies
Contents
- I. CONTINUITY AND THE IRRATIONAL NUMBERS
- Preface
- I. Properties of Rational Numbers
- II. Comparison of the Rational Numbers with the Points of a Straight Line
- III. Continuity of the Straight Line
- IV. Creation of the Irrational Numbers
- V. Continuity of the Domain of Real Numbers
- VI. Operations with Real Numbers
- VII. Infinitesimal Analysis
- II. THE NATURE AND MEANING OF NUMBERS
- Prefaces
- I. Systems of Elements
- II. Transformation of a System
- III. Similarity of a Transformation. Similar Systems
- IV. Transformation of a System in Itself
- V. The Finite and Infinite
- VI. Simply Infinite Systems. Series of Natural Numbers
- VII. Greater and Less Numbers
- VIII. Finite and Infinite Parts of a Number-Series
- IX. Definition of a Tranformation of the Number-Series by Induction
- X. The Class of Simply Infinite Systems
- XI. Addition of Numbers
- XII. Multiplication of Numbers
- XIII. Involution of Numbers
- XIV. Number of the Elements of a Finite System
