The Continuum A Critical Examination of the Foundation of Analysis (DOVER)~tqw~_darksiderg torrent download



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INFO


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Title................: The Continuum A Critical Examination of the Foundation 


                       of Analysis 


Type.................: Ebook


Reader...............: PDF Reader


Size.................: 10.1 MB


Torrent Hash.........: B8B4AF7F58C86AC37594F20449C08F90EF2A744D


Posted by............: ~tqw~





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CONTENTS


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http://i28.tinypic.com/29qm6j9.jpg


Synopsis:


This classic text deals with the conceptual problem posed by the continuum — 


the set of all real numbers. Chapter 1 deals with the logic and mathematics 


of set and function, while Chapter 2 focuses on the concept of number and 


the continuum. Advanced-level mathematical landmark will interest anyone 


working in foundational analysis. Bibliography. Originally published 1918.





Table Of Contents:


Foreword; 


Introduction; 


Preface


Chapter 1. Set and Function


Logical Section


1. Property, Relation, Existence


2. The Principles of the combination of Judgments


3. Logical Inference. Axiomatic Method Mathematical Section


4. Sets


5. The Natural Numbers: Richard's Antinomy


6. Iteration of the Mathematical Process. The circulus vitiosus of Analysis


7. Principles of Substitution & Iteration


8. Definitive Formulation of the Foundations. Introduction of Ideal Elements


Chapter 2. The Concept of Number & The Continuum


1. Natural Numbers and Cardinalities


2. Fractions and Rational Numbers


3. Real Numbers


4. Sequences, Convergence Principle


5. Continuous Functions


6. The Intuitive and the Mathematical Continuum


7. Magnitudes and Their Measures


8. Curves and Surfaces


Appendix; Notes; Bibliography; Index 





Product Details:


    * ISBN: 0486679829


    * ISBN-13: 9780486679822


    * Format: Paperback, 130pp


    * Publisher: Dover Publications


    * Pub. Date: March 1994





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