The Continuum: With an Introduction to Cantor's Transfinite Numbers (Dover Phoenix Editions) - Hardcover
Synopsis
"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.
"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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About the Author
E. V. Huntington (1874 - 1952) taught at Harvard from 1901 until his retirement in 1941. He was President of the Mathematical Association of America in 1919 and at different times an officer of the American Mathematical Society and the American Association for the Advancement of Science.
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The Continuum, and Other Types of Serial Order: With an Introduction to Cantor's Transfinite Numbers
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The Continuum, and Other Types of Serial Order: With an Introduction to Cantor's Transfinite Numbers
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ISBN 10: 0486495507
ISBN 13: 9780486495507
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