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The Continuum, and Other Types of Serial Order: With an Introduction to Cantor's Transfinite Numbers (Classic Reprint) - Softcover

 
9781333288266: The Continuum, and Other Types of Serial Order: With an Introduction to Cantor's Transfinite Numbers (Classic Reprint)

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Excerpt from The Continuum, and Other Types of Serial Order: With an Introduction to Cantor's Transfinite Numbers

The main Object of this book is to give a systematic elementary account of the modern theory of the continuum as a type of serial order a theory which underlies the definition of irrational num bers and makes possible a rigorous treatment of the real number system of algebra.

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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Edward Vermilye Huntington
Published by Forgotten Books, 2018
ISBN 10: 1333288263 ISBN 13: 9781333288266
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Paperback. Condition: New. Print on Demand. This book is a systematic elementary introduction to the modern theory of the continuum as a type of serial order. The theory of serial order underpins the definition of irrational numbers and makes possible a rigorous treatment of the real number system of algebra. The book begins with a discussion of one-to-one correspondence between two classes or collections, and then introduces simply ordered classes, or series. It continues with a discussion of discrete series, especially the type Ï of natural numbers, and dense series, especially the type Î of the rational numbers. Finally, the book defines continuous series, especially the type 0 of the real numbers, and briefly introduces the theory of the so-called well-ordered series, and Cantor's transfinite numbers. This book is of interest to all those studying the foundations of mathematics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781333288266_0

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Edward Vermilye Huntington
Published by Forgotten Books, 2018
ISBN 10: 1333288263 ISBN 13: 9781333288266
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333288266

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Edward Vermilye Huntington
Published by Forgotten Books, 2018
ISBN 10: 1333288263 ISBN 13: 9781333288266
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333288266

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