The Kurzweil-Henstock Integral and Its Differential

A Unified Theory of Integration on R and Rn
1. Auflage 2001
ISBN: 978-0-8247-0535-0
Verlag: Taylor & Francis Inc

Buch, Englisch, 372 Seiten, Format (B × H): 216 mm x 279 mm, Gewicht: 862 g

Reihe: Chapman & Hall/CRC Pure and Applied Mathematics

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.

Zielgruppe

Professional Practice & Development

Autoren/Hrsg.

Leader, Solomon

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Integralrechnungen- und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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.

Über Autor(innen)

Leader, Solomon