The Continuum A Critical Examination of the Foundation of Analysis (DOVER)~tqw~ darksiderg

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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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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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Greetz Fellow UL'ers
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