Continuum and Other Types of Serial Order (Paperback)

Edward V. Huntington

ISBN 10: 0486815668 / ISBN 13: 9780486815664

Editore: Dover Publications Inc., New York, 2017

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Paperback. "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 is suitable for advanced undergraduates and graduate students in mathematics and requires no knowledge of higher mathematics. The treatment begins with a historical introduction, followed by chapters on classes in general; simply ordered classes, or series; discrete series, especially the type of the natural numbers; and dense series, especially the type of the rational numbers. Subsequent chapters explore 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. An Index of Technical Terms concludes the text. AUTHOR: E. V. Huntington (18741952) 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. Hailed by Science Progress as "admirable," this classic presents the best systematic elementary account of the continuum as a type of serial order and requires no knowledge of higher mathematics. 1917 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Codice articolo 9780486815664

Dati bibliografici

• Titolo: Continuum and Other Types of Serial Order (Paperback)
• Editore: Dover Publications Inc., New York
• Data di pubblicazione: 2017
• Lingua: Inglese
• ISBN 10: 0486815668
• ISBN 13: 9780486815664
• Rilegatura: Paperback
• Condizione: new

Descrizione articolo

Riassunto

"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 is suitable for advanced undergraduates and graduate students in mathematics and requires no knowledge of higher mathematics.
The treatment begins with a historical introduction, followed by chapters on classes in general; simply ordered classes, or series; discrete series, especially the type of the natural numbers; and dense series, especially the type of the rational numbers. Subsequent chapters explore 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. An Index of Technical Terms concludes the text.

Informazioni sull?autore

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.