The Kurzweil-Henstock Integral and Its Differential A Unified Theory of Integration on R and Rn
Langue : Anglais
Auteur : Leader Solomon
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.
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.
Professional Practice & Development
Leader, Solomon
Date de parution : 10-2019
15.2x22.9 cm
Date de parution : 06-2001
Ouvrage de 276 p.
15.2x22.9 cm
Thème de The Kurzweil-Henstock Integral and Its Differential :
Mots-clés :
Hahn Decomposition; Banach Lattice; Cauchy Criterion; Riesz Space; Absolute Integrability; Summable Differentials; Absolute Continuity; Monotone Convergence; Cell Summant; Measurable Subset; Follow; Integrable Differential; Apply Theorem; Nonoverlapping Cells; Bounded Variation; Radon Nikodym Theorem; Boolean Algebra; Dw; Uniform Integrability; Lipschitz Functions; OO OO; Improper Integrals; Countable Subset; Lebesgue Measure; Finite Lebesgue Measure
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