GENERAL THEORY INTEG C (Oxford Mathematical Monographs) - Hardcover

Henstock

 
9780198535669: GENERAL THEORY INTEG C (Oxford Mathematical Monographs)
Hardcover
ISBN 10: 019853566X ISBN 13: 9780198535669
Verlag: Oxford University Press (UK), 1991

Inhaltsangabe

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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Von der hinteren Coverseite

Every good mathematical book stands like a tree with its roots in the past and its branches stretching out towards the future. Whether the fruits of this tree are desirable and whether the branches will be quarried for mathematical wood to build further edifices, I will leave to the judgment of history. The roots of this book take nourishment from the concept of definite integration of continuous functions, where Riemann's method is the high water mark of the simpler theory.

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Verlag
Oxford University Press (UK)
Erscheinungsdatum
1991
Sprache
Englisch
ISBN 10 
019853566X
ISBN 13 
9780198535669
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
276
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

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