The Continuum And Other Types Of Serial Order: Second Edition (dover Books On Mathematics)
by Edward V. Huntington /
2017 / English / EPUB
16.4 MB Download
"An admirable introduction to the rigorous theory of the
continuum." —
"An admirable introduction to the rigorous theory of the
continuum." —Science Progress
Science Progress"Extremely readable . .
. a clear axiomatically constructed introduction." —
"Extremely readable . .
. a clear axiomatically constructed introduction." —Elemente
der Mathematik
Elemente
der MathematikThis 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.
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.
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.
