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Contributions to the founding of the theory of transfinite numbers

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 fundame...

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Detalles Bibliográficos
Autor principal: Cantor, Georg
Lenguaje:eng
Publicado: Dover Publ. 1955
Materias:
Acceso en línea:http://cds.cern.ch/record/1544567
Descripción
Sumario: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