The Theory Of The Denjoy Integral And Some Applications
Download The Theory Of The Denjoy Integral And Some Applications PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Theory Of The Denjoy Integral And Some Applications book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
The Theory Of The Denjoy Integral And Some Applications
The Denjoy integral has not found many applications in analysis. Such applications as have been made are due mainly to authors of this book. The original papers are in difficult to obtain Soviet journals. This translation makes this important work available to wider audience and shows for the first time in English that the Denjoy integral has applications in both real and complex analysis. In addition, the longest chapter of the book is devoted to the theory of a two dimensional extension of the wide Denjoy integral. The book is a self contained treatment of the integral in one and two dimensions, together with details of most known applications of these integrals to analysis, both real and complex.
Kurzweil-stieltjes Integral: Theory And Applications
Author: Giselle Antunes Monteiro
language: en
Publisher: World Scientific
Release Date: 2018-09-26
The book is primarily devoted to the Kurzweil-Stieltjes integral and its applications in functional analysis, theory of distributions, generalized elementary functions, as well as various kinds of generalized differential equations, including dynamic equations on time scales. It continues the research that was paved out by some of the previous volumes in the Series in Real Analysis. Moreover, it presents results in a thoroughly updated form and, simultaneously, it is written in a widely understandable way, so that it can be used as a textbook for advanced university or PhD courses covering the theory of integration or differential equations.
Theories Of Integration: The Integrals Of Riemann, Lebesgue, Henstock-kurzweil, And Mcshane
Author: Charles W Swartz
language: en
Publisher: World Scientific Publishing Company
Release Date: 2004-06-03
This book presents a historical development of the integration theories of Riemann, Lebesgue, Henstock-Kurzweil, and McShane, showing how new theories of integration were developed to solve problems that earlier theories could not handle. It develops the basic properties of each integral in detail and provides comparisons of the different integrals. The chapters covering each integral are essentially independent and can be used separately in teaching a portion of an introductory course on real analysis. There is a sufficient supply of exercises to make the book useful as a textbook.