The Continuum and Other Types of Serial Order 2nd Edition by Edward Huntington 0486495507 9780486495507
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Product details:
ISBN 10: 0486495507
ISBN 13: 9780486495507
Author: Edward V. Huntington
“An admirable introduction to the rigorous theory of the continuum.”—Science Progress “Extremely readable . . . a clear axiomatically constructed introduction.”—Elemente der Mathematik This classic of mathematics presents the best systematic elementary account of the modern theory of the continuum as a type of serial order. Based on the Dedekind-Cantor ordinal theory, this text requires no knowledge of higher mathematics. Contents include a historical introduction and chapters on classes in general; simply ordered classes, or series; discrete series, especially the type of the natural numbers; dense series, especially the type of the rational numbers; continuous series, especially the type of the real numbers; continuous series of more than one dimension, with a note on multiply ordered classes; and well ordered series, with an introduction to Cantor’s transfinite numbers. 1917 edition. 119 footnotes, mostly bibliographical.
Table of contents:
Chapter I: On Classes In General
Chapter II: On Simply Ordered Classes, Or Series
Chapter III: Discrete Series: Especially The Type ω Of The Natural Numbers
Chapter IV: Dense Series: Especially The Type η Of The Rational Numbers
Chapter V: Continuous Series: Especially The Type θ Of The Real Numbers
Chapter VI: Continuous Series Of More Than One Dimension, With A Note On Multiply Ordered Classes
Chapter VII: Well-Ordered Series, With An Introduction To Cantor’s Transfinite Numbers
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Tags: Edward Huntington, Continuum, Types, Order