Contributions to the Founding of the Theory of Transfinite Numbers

Description

One of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable importance in topology, number theory, analysis, theory of functions, etc., as well as in the entire field of modern logic. It is rare that a theory of such fundamental mathematical importance is expressed so simply and clearly: the reader with a good grasp of college mathematics will be able to understand most of the basic ideas and many of the proofs. Cantor first develops the elementary definitions and operations of cardinal and ordinal numbers and analyzes the concepts of "cardinality" and "ordinality." He covers such topics as the addition, multiplication, and exponentiation of cardinal numbers, the ordinal types of simply ordered aggretates, operations on ordinal types, the ordinal types of the linear continuum, and others. He then develops a theory of well-ordered aggregates, and investigates the ordinal numbers of well-ordered aggregates and the properties and extent of the transfinite ordinal numbers. -- from back cover.

Subjects

Other Editions

• Contributions to the Founding of the Theory of Transfinite NumbersPaperbackDover Publications1955-06-01
• Contributions to the founding of the theory of transfinite numbersThe Open court publishing company1915-01-01
• Contributions to the founding of the theory of transfinite numbersThe Open Court Publishing Company1915-01-01
• Contributions to the founding of the theory of transfinite numbers.Dover Publications1915-01-01
• Contributions to the founding of the theory of transfinite numbersDover Publications1915-01-01
• Contributions to the founding of the theory of transfinite numbersOpen Court1941-01-01