Advanced Integration Theory (Hardcover, 1998 ed.)

Since about 1915 integration theory has consisted of two separate branches: the abstract theory required by probabilists and the theory, preferred by analysts, that combines integration and topology. As long as the underlying topological space is reasonably nice (e.g., locally compact with countable basis) the abstract theory and the topological theory yield the same results, but for more compli cated spaces the topological theory gives stronger results than those provided by the abstract theory. The possibility of resolving this split fascinated us, and it was one of the reasons for writing this book. The unification of the abstract theory and the topological theory is achieved by using new definitions in the abstract theory. The integral in this book is de fined in such a way that it coincides in the case of Radon measures on Hausdorff spaces with the usual definition in the literature. As a consequence, our integral can differ in the classical case. Our integral, however, is more inclusive. It was defined in the book "C. Constantinescu and K. Weber (in collaboration with A."

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 454
Release date:	2001
First published:	1998
Authors:	Corneliu Constantinescu
Contributors:	Alexia Sontag
Authors:	Wolfgang Filter • Karl Weber
Dimensions:	235 x 155 x 46mm (L x W x T)
Format:	Hardcover
Volumes:	2
Pages:	876
Edition:	1998 ed.
ISBN-13:	978-0-7923-5234-1
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
LSN:	0-7923-5234-3
Barcode:	9780792352341

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