Continuum, The: With an Introduction to Cantor's Transfinite Numbers

Huntington, Edward V

ISBN 10: 0486495507 ISBN 13: 9780486495507

Verlag: Dover, Harvard, 1955

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Bibliografische Details

Titel

Continuum, The: With an Introduction to Cantor's Transfinite Numbers

Verlag

Dover, Harvard

Ver�ffentlichungsdatum

1955

ISBN-10

0486495507

ISBN-13

9780486495507

Bindung

Paperback

Ausgabe

2nd.

Zustand

Good+

Buchtyp

Book

Verk�uferkataloge

Science

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Inhaltsangabe

"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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