The General Theory of Integration
Author:   Ralph Henstock (Emeritus Professor of Mathematics, Leverhulme Research Fellow, Emeritus Professor of Mathematics, Leverhulme Research Fellow, University of Ulster)
Publisher:   Oxford University Press
ISBN:  

9780198535669


Pages:   274
Publication Date:   13 June 1991
Format:   Hardback
Availability:   To order   Availability explained
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The General Theory of Integration


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Author:   Ralph Henstock (Emeritus Professor of Mathematics, Leverhulme Research Fellow, Emeritus Professor of Mathematics, Leverhulme Research Fellow, University of Ulster)
Publisher:   Oxford University Press
Imprint:   Clarendon Press
Dimensions:   Width: 16.30cm , Height: 2.40cm , Length: 23.70cm
Weight:   0.574kg
ISBN:  

9780198535669


ISBN 10:   019853566
Pages:   274
Publication Date:   13 June 1991
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

Introduction and prerequisites; Division systems and division spaces; Generalized Riemann and variational integration in division systems and division spaces; Limits under the integral sign, functions depending on a parameter; Differentiation; Cartesian products of a finite number of division systems (spaces); Integration in infinite-dimensional spaces; Perron-type, Ward-type, and convergence-factor integrals; Functional analysis and integration theory; References.

Reviews

'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 'a thorough reference for experts' Mathematika, 40 (1993) 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


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