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, it requires no knowledge of higher mathematics. Includes 119 footnotes, mostly bibliographical. "An admirable introduction." — Science Progress. 1917 edition.
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American mathematician EDWARD VERMILYE HUNTINGTON (1874-1952) served in executive positions for the Mathematical Association of America, which he helped found, and the American Association for the Advancement of Science. He also wrote Four Place Tables of Logarithms and Trigonometric Functions (1907), Handbook of Mathematics for Engineers (1918), and Fundamental Propositions of Algebra (1941).
This classic 1917 work, a longtime standard text on set theory, is an essential foundation for understanding irrational numbers, advanced algebra, and modern number theory. In easy-to-understand language and with clear equations, the author, a Harvard professor of mathematics, discusses:
* On Classes in General * On Simply Ordered Classes, or Series * Discrete Series * Continuous Series * Well-Ordered Series * An Introduction to Cantor's Transfinite Numbers
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