Description |
1 online resource (96 pages) |
Access |
Access limited to subscribing institutions. |
Summary |
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. |
Note |
Print version record. |
Subject |
MATHEMATICS / General.
|
|
Transfinite numbers.
|
|
Set theory.
|
Genre/Form |
Electronic books.
|
Added Author |
Cantor, Georg, 1845-1918.
|
Other Form: |
Print version: Huntington, E. V. (Edward Vermilye), 1874-1952. Continuum, and other types of serial order. Mineola, N.Y. : Dover Publications, 2003. 0486495507 (DLC)2003055069 |
Standard No. |
9780486161075 |
ISBN |
9780486161075 (e-pub) |
|