The Continuum and Other Types of Serial Order

The Continuum and Other Types of Serial Order

eBook - 2017
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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.
Publisher: [Place of publication not identified] : Dover Publications, [2017]
ISBN: 9780486161075
Branch Call Number: 511.322 Hu
Description: 1 online resource (96 pages)
Additional Contributors: Cantor, Georg 1845-1918
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