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

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

ISBN 10: 0486495507 / ISBN 13: 9780486495507

Verlag: Mineola, New York, U.S.A.: Dover Pubns, 2003

Beschreibung

hardback in fine condition.

Bestandsnummer des Verkäufers 127976

Bibliografische Details

• Titel: The Continuum, and Other Types of Serial Order: With an Introduction to Cantor's Transfinite Numbers
• Verlag: Mineola, New York, U.S.A.: Dover Pubns
• Erscheinungsjahr: 2003
• Sprache: Englisch
• ISBN-10: 0486495507
• ISBN-13: 9780486495507
• Einband: Hardcover
• Auflage: 2. Auflage
• Zustand: Fine
• Verkäuferkataloge:
  • Science

Über diesen Titel

Inhaltsangabe

"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.