The Continuum and Other Types of Serial Order

Product Number: EB00791922
Released: Dec 02, 2019
Business Term: Purchase
ISBN: #9780486161075
Publisher: Dover Publications
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Description

"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.

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Genre: Science
Original Publish Date: May 25, 2017

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