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The Kurzweil-Henstock integral and its differentials: a unified theory of integration on R and R

✍ Scribed by Solomon Leader


Book ID
127456414
Publisher
M. Dekker
Year
2001
Tongue
English
Weight
2 MB
Series
Monographs and textbooks in pure and applied mathematics 242
Edition
1st
Category
Library
City
New York
ISBN
058541923X

No coin nor oath required. For personal study only.

✦ Synopsis


Timely reference and text providing a comprehensive review of the Kurzweil-Henstock integrations process on the real line and on higher dimensions. Presents a unified theory of integrations that highlights integrals of elementary calculus, Lebesque integrals and other methods.


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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 a

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In this paper, the concept of strong fuzzy Henstock integrability for the fuzzy-valued functions is presented; a necessary and su cient condition of almost everywhere di erentiability for the fuzzy-valued functions is given by means of this concept.