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The Integrals of Lebesgue, Denjoy, Perron and Henstock Book

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Description

This Graduate Studies in Mathematics text provides an elementary and self-contained presentation of integration processes. It begins with a detailed development of the Lebesgue integral and its essential properties. The book then explores the Denjoy, Perron, and Henstock integrals, which serve as generalizations of the Lebesgue integral. These three specific integrals are notable because they satisfy the ideal version of the Fundamental Theorem of Calculus. If a function F is differentiable on the interval [a,b], then F' is integrable on [a,b] and the integral of F' from a to b equals F(b) - F(a). Each of these three integrals is developed fully within this volume, making it a comprehensive resource for higher education in mathematics.

Key Features

This book offers a self-contained presentation of the integration processes developed by Lebesgue, Denjoy, Perron, and Henstock.

The text provides a detailed development of the Lebesgue integral and its essential properties for mathematical study.

It covers the Denjoy, Perron, and Henstock integrals as generalizations that satisfy the ideal Fundamental Theorem of Calculus.

The content is part of the Graduate Studies in Mathematics series published by the American Mathematical Society.

Each of the three advanced integrals is developed fully to ensure a complete understanding of the subject matter.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
13 October 1994
Listed Since
17 October 2006

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