The Kurzweil-Henstock Integral and Its Differential: A Unified Theory of Integration on R and Rn, 1st Edition (Paperback) book cover

The Kurzweil-Henstock Integral and Its Differential

A Unified Theory of Integration on R and Rn, 1st Edition

By Solomon Leader

CRC Press

372 pages

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Paperback: 9780367397159
pub: 2019-12-20
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Description

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.

Table of Contents

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.

About the Author

Leader, Solomon

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT037000
MATHEMATICS / Functional Analysis