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The Continuum, and Other Types of Serial Order: With an Introduction to Cantor's Transfinite Numbers (Classic Reprint) - Softcover
Inhaltsangabe
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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Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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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Excerpt from The Continuum, and Other Types of Serial Order: With an Introduction to Cantor's Transfinite Numbers
For example, the class of prime numbers is a class of numbers determined by the condition that every number which belongs to it must have no factors other than itself and 1. Again, the class of men is a class of living beings determined by certain conditions set forth in works on biology. Finally, the class of perfect square numbers which end in 7 is an empty class, since every perfect square number must end in 0, 1, 4, 5, 6, or 9.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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.
Reseña del editor
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.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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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The Continuum, and Other Types of Serial Order With an Introduction to Cantor's Transfinite Numbers Classic Reprint
Anbieter: PBShop.store US, Wood Dale, IL, USA
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781333288266
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The Continuum, and Other Types of Serial Order With an Introduction to Cantor's Transfinite Numbers Classic Reprint
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781333288266
Anzahl: 15 verfügbar
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The Continuum, and Other Types of Serial Order (Classic Reprint)
Print-on-DemandAnbieter: Forgotten Books, London, Vereinigtes Königreich
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Paperback. Zustand: 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. Bestandsnummer des Verkäufers 9781333288266_0
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