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Edward V. Huntington, "The Continuum and Other Types of Serial Order, 2nd Edition (Dover Books on Mathematics)"
ISBN: 0486815668 | 2017 | EPUB | 96 pages | 16 MB

The Continuum and Other Types of Serial Order


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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 is suitable for advanced undergraduates and graduate students in mathematics and requires no knowledge of higher mathematics.
The treatment begins with a historical introduction, followed by chapters on classes in general; simply ordered classes, or series; discrete series, especially the type of the natural numbers; and dense series, especially the type of the rational numbers. Subsequent chapters explore 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. An Index of Technical Terms concludes the text.



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The Continuum and Other Types of Serial Order

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