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THE CONTINUUM AND OTHER TYPES OF SERIAL ORDER (DOVER PHOENIX EDITIONS)
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THE CONTINUUM AND OTHER TYPES OF SERIAL ORDER (DOVER PHOENIX EDITIONS) Hardcover - 2003

by Huntington, Edward V


From the publisher

"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.

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  • Title THE CONTINUUM AND OTHER TYPES OF SERIAL ORDER (DOVER PHOENIX EDITIONS)
  • Author Huntington, Edward V
  • Binding Hardcover
  • Edition Second
  • Publisher Dover Publications, New York
  • Date 2003-12
  • ISBN 9780486495507
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Continuum, The: With an Introduction to Cantor's Transfinite Numbers
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Continuum, The: With an Introduction to Cantor's Transfinite Numbers

by Huntington, Edward V

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The Continuum: With an Introduction to Cantor's Transfinite Numbers (Dover Phoenix Editions)
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The Continuum: With an Introduction to Cantor's Transfinite Numbers (Dover Phoenix Editions)

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The Continuum, and Other Types of Serial Order: With an Introduction to Cantor's Transfinite...
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The Continuum, and Other Types of Serial Order: With an Introduction to Cantor's Transfinite Numbers

by Huntington, E. V.;Cantor, Georg;Huntington, Edward V.

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THE CONTINUUM AND OTHER TYPES OF SERIAL ORDER (DOVER PHOENIX EDITIONS)
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The Continuum and Other Types of Serial Order (Dover Phoenix Editions)
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The Continuum and Other Types of Serial Order (Dover Phoenix Editions)

by Huntington, Edward V

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The Continuum and Other Types of Serial Order (Dover Phoenix Editions)
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The Continuum and Other Types of Serial Order (Dover Phoenix Editions)

by Edward V. Huntington

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The Continuum and Other Types of Serial Order (Dover Phoenix Editions)
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The Continuum and Other Types of Serial Order (Dover Phoenix Editions)

by Huntington, Edward V

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The Continuum and other Types of Serial Order Introduction to Cantor's  Transfinite Numbers
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The Continuum and other Types of Serial Order Introduction to Cantor's Transfinite Numbers

by Huntington, Edward V

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Harvard University Press. Very Good with no dust jacket. 1917. Second Edition; First Printing. Cloth. 0486495507 . Previous owner name on ffep; some underlining in ink, else a very good copy. The first edition of this book, 1905, was an offprint of an article published in the Annals of Mathematics. According to the DSB, this book was for many years "the standard introduction to the theory of sets of points and transfinite numbers." [DSB] Huntington is well known for his work on axiomatics, both for his alternative set of axioms for Euclidean geometry and his method of proving the independence and completeness of axiom systems. He is also responsible for the mathematical method used to apportion seats in the U. S. House of Representatives since 1941. His method was recommended over those suggested by Thomas Jefferson. John Quincy Adams, Daniel Webster and others by two different committees of mathematicians. The second committee was headed by John von Neumann, Marston Morse and… Read More
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