Advanced Integration Theory

Name: Advanced Integration Theory
SKU: 21701367
Price: 422.99 AUD
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Paperback / softback

Series:

Mathematics and its Applications

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Description

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.

Release date Australia

December 21st, 2012

Author

Audience

Professional & Vocational

Contributor

Other Alexia Sontag

Edition

Softcover reprint of the original 1st ed. 1998

Illustrations

XXIV, 876 p.

Pages

876

Series

Mathematics and its Applications

Dimensions

160x240x44

ISBN-13

9789401037396

Product ID

21701367

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