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



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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~





Trackers:


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Note:





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CONTENTS


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http://images.barnesandnoble.com/images/10640000/10643786.jpg


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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