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The Foundations of Analysis by Larry Clifton



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About this book :-
This text is a detailed and self-contained introduction to the real number system from a categorical perspective. It begin with the categorical definition of the natural numbers, review the Eudoxus theory of ratios as presented in Book V of Euclid, and then use these classical results to define the positive real numbers categorically.

Book Detail :-
This book has following details information.
Title: The Foundations of Analysis by Larry Clifton by NA
Publisher: ArXiv
Series: eBooksDirectory
Year: 2013
Pages: 48
Type: PDF
Language: English
ISBN-10 #: N\A
ISBN-13 #: N\A
Country: Pakistan
License: N\A
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About Author :-
The author NA NA

Book Contents :-
conver the following topics.
1. Introduction 2. Magnitude Spaces 3. Functions 4. Basic Equalities and Inequalities 5. Magnitude Space Embeddings 6. Classification of Magnitude Spaces 7. Well Ordered Magnitude Spaces 8. Natural Numbers and Integral Multiples 9. Embeddings and Ratios 10. Classical Theory of Ratios 11. Embeddings and the Fourth Proportional 12. Continuous Magnitude Spaces 13. Real Numbers

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