Essays on the Theory of Numbers (DOVER)~tqw~ darksiderg torrent

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INFO
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Title................: Essays on the Theory of Numbers (DOVER)
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 5.04 MB
Torrent Hash.........: 633CFE3EBBC484726A610CB942B4C13CF4A5A97E
Posted by............: ~tqw~

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CONTENTS
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Synopsis:
Two classic essays by great German mathematician: one provides an arithmetic,
rigorous foundation for the irrational numbers, the other is an attempt to
give the logical basis for transfinite numbers and properties of the natural
numbers.

Table Of Contents:
I. Continuity and Irrational Numbers
1. Properties of Rational Numbers
2. Comparison of the Rational Numbers with the Points of a Straight Line
3. Continuity of the Straight Line
4. Creation of Irrational Numbers
5. Continuity of the Domain of Real Numbers
6. Operations with Real Numbers
7. Infinitesimal Analysis
II. The Nature and Meaning of Numbers
1. Systems of Elements
2. Transformation of a System
3. Similarity of a Transformation. Similar Systems
4. Transformation of a System in Itself
5. The Finite and Infinite
6. Simply Infinite Systems. Series of Natural Numbers
7. Greater and Less Numbers
8. Finite and Infinite Parts of the Number-Series
9. Definition of a Transformation of the Number-Series by Induction
10. The Class of Simply Infinite Systems
11. Addition of Numbers
12. Multiplication of Numbers
13. Involution of Numbers
14. Number of the Elements of a Finite System

Product Details:
* ISBN: 0486210103
* ISBN-13: 9780486210100
* Format: Paperback, 115pp
* Publisher: Dover Publications
* Pub. Date: June 1963

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