The Kurzweil-Henstock integral and its differentials : a unified theory of integration on R and R[n]
著者
書誌事項
The Kurzweil-Henstock integral and its differentials : a unified theory of integration on R and R[n]
（Monographs and textbooks in pure and applied mathematics, 242）
Marcel Dekker, c2001
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注記
[n]は上つき文字
Bibliography: p. 347-349
Includes index
内容説明・目次
内容説明
A comprehensive review of the Kurzweil-Henstock integration process on the real line and in higher dimensions. It seeks to provide a unified theory of integration that highlights Riemann-Stieljes and Lebesgue integrals as well as integrals of elementary calculus. The author presents practical applications of the definitions and theorems in each section as well as appended sets of exercises.
目次
- Integration of summants
- differentials and their integrals
- differentials with special properties
- measurable sets and functions
- the Vitali covering theorem applied to differentials
- derivatives and differentials
- essential properties of functions
- absolute continuity
- conversion of Lebesgue-Stieljes integrals into Lebesgue integrals
- some results on higher dimensions.
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