The Kurzweil-Henstock Integral and Its Differential: A Unified Theory of Integration on R and Rn

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Solomon Leader

The Kurzweil-Henstock Integral and Its Differential

A Unified Theory of Integration on R and Rn

Solomon Leader

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English

CRC Press Inc
29 June 2001

Differential calculus & equations; Integral calculus & equations

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.

By: Solomon Leader
Imprint: CRC Press Inc
Country of Publication: United States
Volume: v. 242
Dimensions: Height: 229mm, Width: 152mm, Spine: 24mm
Weight: 861g
ISBN: 9780824705350
ISBN 10: 0824705351
Pages: 372
Publication Date: 29 June 2001
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

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.

Leader, Solomon