Overview

The main topics of this study 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. Moreover, some relations between integration and differentiation are made clear. The volume is self-contained, and should be of interest to specialists in the field of real functions, and to students, since only the basics of mathematical analysis and vector spaces are required.

Full Product Details

Author:   Jaroslav Kurzweil (Academy Of Sciences, Czech Republic)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   8
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.00cm
Weight:   0.340kg
ISBN:  

9789812380463

ISBN 10:   9812380469
Pages:   148
Publication Date:   18 June 2002
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Jaroslav Kurzweil is a professor at the Mathematical Institute of the Academy of Sciences of the Czech Republic. He is also the author of the other five books and has published 105 original papers. He is now retired but remained the Chairman of the Accreditation Commission of the institute and Chairman of the Union of Czech Mathematicians and Physicists. He was elected as the Honorary Foreign Fellow of the Royal Society of Edinburgh in 1978 and Corresponding Member of the Academie Royale de Belgique, Classe des Sciences.

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