登入選單
返回Google圖書搜尋
The Continuum, and Other Types of Serial Order
Edward Vermilye HuntingtonGeorg Cantor
其他書名
With an Introduction to Cantor's Transfinite Numbers
出版Courier Corporation, 2003-01-01
主題Mathematics / General
ISBN04864955079780486495507
URLhttp://books.google.com.hk/books?id=pPjDD5QnRd4C&hl=&source=gbs_api
EBookSAMPLE
註釋"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.