Buch, Englisch, 274 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 581 g
Buch, Englisch, 274 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 581 g
Reihe: Oxford Mathematical Monographs
ISBN: 978-0-19-853566-9
Verlag: Oxford University Press (UK)
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.
Autoren/Hrsg.
Weitere Infos & Material
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.
