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A course of higher mathematics

International Series of Monographs in Pure and Applied Mathematics, Volume 62: A Course of Higher Mathematics, V: Integration and Functional Analysis focuses on the theory of functions. The book first discusses the Stieltjes integral. Concerns include sets and their powers, Darboux sums, improper St...

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Detalles Bibliográficos
Autores principales: Smirnov, Vladimir Ivanovich, Sneddon, Ian Naismith
Lenguaje:eng
Publicado: Pergamon 1964
Materias:
Acceso en línea:http://cds.cern.ch/record/102772
Descripción
Sumario:International Series of Monographs in Pure and Applied Mathematics, Volume 62: A Course of Higher Mathematics, V: Integration and Functional Analysis focuses on the theory of functions. The book first discusses the Stieltjes integral. Concerns include sets and their powers, Darboux sums, improper Stieltjes integral, jump functions, Helly's theorem, and selection principles. The text then takes a look at set functions and the Lebesgue integral. Operations on sets, measurable sets, properties of closed and open sets, criteria for measurability, and exterior measure and its properties are discuss