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Synopsis
Written by one of the subject's foremost experts, this is the first book on division space integration theory.
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Review
A very good and exhaustive list of relevant publications is given in the references. A large amount of topics is treated in this book of R. Henstock. They are explained in a close form which is traditional for the author's style of writing. The book represents a source of inspiration for research in the theory of integration. Surely there will be a wide use of this work as a standard reference in the future for scientists working in the contemporary summation approach to nonabsolutely convergent integral. * J. Kurzweil, S. Schwabik, Sonderdruck aus Jahresbericht der Deutschen Mathematiker-Vereinigung, Bd 96, Heft 3 * 'a thorough reference for experts' Mathematika, 40 (1993) 'Henstock's book develops ideas of great ingenuity and insight in an attempt to fit non-absolute integrals into a theory that, unlike most earlier theories includes many more integrals than the classical one of Denjoy and Perron ... it is a valiant attempt to bring a difficult subject under control and should be known to all interested in integration.' P.S. Bullen, Zentralblatter 745
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The General Theory of Integration (Oxford Mathematical Monographs)
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The General Theory of Integration
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The general theory of integration Ralph Henstock. Oxford mathematical monographs; Oxford science publications.
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