The General Theory of Integration
Book Details
Format
Hardback or Cased Book
Book Series
Oxford Mathematical Monographs
ISBN-10
019853566X
ISBN-13
9780198535669
Publisher
Oxford University Press
Imprint
Clarendon Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jun 13th, 1991
Print length
274 Pages
Weight
574 grams
Dimensions
23.70 x 16.30 x 2.40 cms
Product Classification:
Integral calculus & equations
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This work on division space integration theory is intended to present a unified account of many classes of integrals including the Lebesgue-Bochner, Denjoy-Perron gauge, Denjoy-Hincin, Cesaro-Perron and Marcinkiewicz-Zygmund integrals.
Written by one of the subject''s foremost experts, this is the first book on division space integration theory. It is intended to present a unified account of many classes of integrals including the Lebesgue-Bochner, Denjoy-Perron gauge, Denjoy-Hincin, Cesaro-Perron, and Marcinkiewicz-Zygmund integrals.Professor Henstock develops here the general axiomatic theory of Riemann-type integration from first principles in such a way that familiar classes of integrals (such as Lebesgue and Wiener integrals) are subsumed into the general theory in a systematic fashion. In particular, the theory seeks to place Feynman integration on a secure analytical footing.By adopting an axiomatic approach, proofs are, in general, simpler and more transparent than have previously appeared. The author also shows how one proof can prove corresponding results for a wide variety of integrals. As a result, this book will be the central reference work in this subject for many years to come.
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