Continuum and Other Types of Serial Order
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Continuum and Other Types of Serial Order by Edward V Huntington
An admirable introduction to the rigorous theory of the continuum. -- Science ProgressExtremely 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.
| SKU | Unavailable |
| ISBN 13 | 9780486815664 |
| ISBN 10 | 0486815668 |
| Title | Continuum and Other Types of Serial Order |
| Author | Edward V Huntington |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Dover Publications Inc. |
| Year published | 2017-08-25 |
| Number of pages | 96 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |