Author: HENSTOCK, RALPH
Title: The General Theory of Integration (Oxford Mathematical Monographs)
Description: Oxford: Clarendon Press, 1991. First Edition. Original blindstamped decorated cloth. ISBN: 019853566X. In plastic protective cover. Light wear to spine, covers & corners. ; "The General Theory of Integration" by Ralph Henstock, published as part of the Oxford Mathematical Monographs series, offers a comprehensive exploration of division space integration theory. This text is noted for its innovative approach to integration theory, presenting a unified framework that encompasses various classes of integrals such as Lebesgue-Bochner, Denjoy-Perron gauge, Denjoy-Hincin, Cesaro-Perron, and Marcinkiewicz-Zygmund integrals. Henstock's work is particularly distinguished by its development of a general axiomatic theory of Riemann-type integration from first principles. This approach not only simplifies the proofs of familiar classes of integrals but also systematically incorporates them into a broader theoretical context. One of the significant aims of the book is to provide a solid analytical foundation for Feynman integration, an area that had lacked rigorous mathematical underpinning prior to this work. By employing an axiomatic method, Henstock's text enables clearer and more transparent proofs compared to traditional approaches. The book serves as a central reference in the field of integration theory, expected to be of considerable use to researchers and scholars in the discipline. The comprehensive and insightful nature of this text makes it a valuable resource for anyone interested in the theoretical aspects of integration beyond the standard frameworks of calculus. ; Octavo; xii, 262 pages. Near Fine with no dust jacket .

Keywords: 019853566x


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