Continuum, The: With an Introduction to Cantor's Transfinite Numbers

Huntington, Edward V

ISBN 10: 0486495507 / ISBN 13: 9780486495507

Verlag: Dover, Harvard, 1955

Beschreibung

8vo.

Bestandsnummer des Verkäufers 24494

Bibliografische Details

• Titel: Continuum, The: With an Introduction to Cantor's Transfinite Numbers
• Verlag: Dover, Harvard
• Erscheinungsjahr: 1955
• Sprache: Englisch
• ISBN-10: 0486495507
• ISBN-13: 9780486495507
• Einband: Paperback
• Auflage: 2nd.
• Zustand: Good+
• Buchtyp: Book
• 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.