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The Continuum: With an Introduction to Cantor's Transfinite Numbers (Dover Phoenix Editions) - Hardcover
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.
"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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Reseña del editor
"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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- VerlagDover Publications Inc.
- Erscheinungsdatum2003
- ISBN 10 0486495507
- ISBN 13 9780486495507
- EinbandTapa dura
- SpracheEnglisch
- Auflage2
- Anzahl der Seiten82
- Kontakt zum HerstellerNicht verfügbar
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EUR 7,12 für den Versand von Vereinigtes Königreich nach Deutschland
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Continuum, The: 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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Mineola, New York, U.S.A.: Dover Pubns, 2003
ISBN 10: 0486495507
ISBN 13: 9780486495507
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The Continuum, and Other Types of Serial Order: With an Introduction to Cantor's Transfinite Numbers
Verlag:
Dover Publications, Inc., Mineola, New York, U.S.A., 2003
ISBN 10: 0486495507
ISBN 13: 9780486495507
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Hardcover
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Hardcover. Zustand: Very Good. Second Edition. minor wear, vii + 82 pages including index, reprint of a 1917 title on the theory that underlies the definition of irrational numbers Size: 5.75 x 9. Bestandsnummer des Verkäufers 026335
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