General Theory Integ C

ISBN-13: 9780198535669 / Angielski / Twarda / 1991 / 280 str.

Ralph Henstock

Recenzje

A very good and exhaustive list of relevant publications is given in the references. A large amount of topics is treated in this book of R. Henstock. They are explained in a close form which is traditional for the author's style of writing. The book represents a source of inspiration for research in the theory of integration. Surely there will be a wide use of this work as a standard reference in the future for scientists working in the contemporary summation approach to nonabsolutely convergent integral.

Spis treści

Introduction and prerequisites; Division systems and division spaces; Generalized Riemann and variational integration in division systems and division spaces; Limits under the integral sign, functions depending on a parameter; Differentiation; Cartesian products of a finite number of division systems (spaces); Integration in infinite-dimensional spaces; Perron-type, Ward-type, and convergence-factor integrals; Functional analysis and integration theory; References.