Titel: The Theory of Functions of a Real Variable and the Theory of Fourier's Series, by E W Hobson Classic Reprint
Verlag: Forgotten Books
Ver�ffentlichungsdatum: 2018
Sprache: Englisch
ISBN-10: 1528551397
ISBN-13: 9781528551397
Bindung: HRD
Zustand: New

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Excerpt from The Theory of Functions of a Real Variable and the Theory of Fourier's Series, by E. W Hobson

The foundations of the Integral Calculus, as based upon Riemann's definition of a definite integral, and its extensions, are discussed in Chapter V, where an account of the development of the subject from the point of View of Lebesgue's new definition of the definite Integral is also given. In later parts of the book I have introduced extensions of Lebesgue's definition, to the cases of improper integrals, taken over finite or infinite domains, regarded as the limits of sequences of Lebesgue integrals.

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