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Number Systems and the Foundations of Analysis

2008 Mathematics
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Release : 2008
Genre : Mathematics
Kind : eBook
Book Rating : 925/5 ( reviews)

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Book Synopsis Number Systems and the Foundations of Analysis by : Elliott Mendelson

Download or read book Number Systems and the Foundations of Analysis written by Elliott Mendelson. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward undergraduate and beginning graduate students, this study explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Numerous exercises and appendixes supplement the text. 1973 edition.

Number Systems and the Foundations of Analysis

1985 Mathematics
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Release : 1985
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Number Systems and the Foundations of Analysis by : Elliott Mendelson

Download or read book Number Systems and the Foundations of Analysis written by Elliott Mendelson. This book was released on 1985. Available in PDF, EPUB and Kindle. Book excerpt:

The Number System

2012-10-23 Mathematics
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Release : 2012-10-23
Genre : Mathematics
Kind : eBook
Book Rating : 947/5 ( reviews)

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Book Synopsis The Number System by : H. A. Thurston

Download or read book The Number System written by H. A. Thurston. This book was released on 2012-10-23. Available in PDF, EPUB and Kindle. Book excerpt: This book explores arithmetic's underlying concepts and their logical development, in addition to a detailed, systematic construction of the number systems of rational, real, and complex numbers. 1956 edition.

The Number Systems: Foundations of Algebra and Analysis

2003 Number theory
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Release : 2003
Genre : Number theory
Kind : eBook
Book Rating : 157/5 ( reviews)

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Book Synopsis The Number Systems: Foundations of Algebra and Analysis by : Solomon Feferman

Download or read book The Number Systems: Foundations of Algebra and Analysis written by Solomon Feferman. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this book is the successive construction and development of the basic number systems of mathematics: positive integers, integers, rational numbers, real numbers, and complex numbers. This second edition expands upon the list of suggestions for further reading in Appendix III. From the Preface: ``The present book basically takes for granted the non-constructive set-theoretical foundation of mathematics, which is tacitly if not explicitly accepted by most working mathematicians but which I have since come to reject. Still, whatever one's foundational views, students must be trained in this approach in order to understand modern mathematics. Moreover, most of the material of the present book can be modified so as to be acceptable under alternative constructive and semi-constructive viewpoints, as has been demonstrated in more advanced texts and research articles.''

Foundations of Analysis

2012 Mathematics
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Release : 2012
Genre : Mathematics
Kind : eBook
Book Rating : 842/5 ( reviews)

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Book Synopsis Foundations of Analysis by : Joseph L. Taylor

Download or read book Foundations of Analysis written by Joseph L. Taylor. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Analysis has two main goals. The first is to develop in students the mathematical maturity and sophistication they will need as they move through the upper division curriculum. The second is to present a rigorous development of both single and several variable calculus, beginning with a study of the properties of the real number system. The presentation is both thorough and concise, with simple, straightforward explanations. The exercises differ widely in level of abstraction and level of difficulty. They vary from the simple to the quite difficult and from the computational to the theoretical. Each section contains a number of examples designed to illustrate the material in the section and to teach students how to approach the exercises for that section. --Book cover.

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