System Upgrade on Tue, May 28th, 2024 at 2am (EDT)
Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.
The main topics of this book are convergence and topologization. Integration on a compact interval on the real line is treated with Riemannian sums for various integration bases. General results are specified to a spectrum of integrations, including Lebesgue integration, the Denjoy integration in the restricted sense, the integrations introduced by Pfeffer and by Bongiorno, and many others. Morever, some relations between integration and differentiation are made clear.
The book is self-contained. It is of interest to specialists in the field of real functions, and it can also be read by students, since only the basics of mathematical analysis and vector spaces are required.
Contents:
- Basic Concepts and Properties of y-Integration
- Convergence
- Convergence and Locally Convex Spaces
- An Auxiliary Locally Convex Space
- L-Integration
- M-Integration
- Noncompleteness
- S-Integration
- R-Integration
- An Extension of the Concept of y-Integration
- Differentiation and Integration
Readership: Researchers, academics and graduate students interested in real analysis.
