Integral and measure : from rather simple to rather complex /

This book is devoted to integration, one of the two main operations in calculus. In Part 1, the definition of the integral of a one-variable function is different (not essentially, but rather methodically) from traditional definitions of Riemann or Lebesgue integrals. Such an approach allows us, on...

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Bibliographic Details
Main Author: Mackevičius, Vigirdas
Format: eBook
Language:English
Published: London : ISTE, Ltd ; 2014.
Hoboken : Wiley, 2014.
Series:Oregon State monographs. Mathematics and statistics series.
Subjects:
Online Access:Full Text via HEAL-Link
Description
Summary:This book is devoted to integration, one of the two main operations in calculus. In Part 1, the definition of the integral of a one-variable function is different (not essentially, but rather methodically) from traditional definitions of Riemann or Lebesgue integrals. Such an approach allows us, on the one hand, to quickly develop the practical skills of integration as well as, on the other hand, in Part 2, to pass naturally to the more general Lebesgue integral. Based on the latter, in Part 2, the author develops a theory of integration for functions of several variables. In Part 3, within.
Physical Description:1 online resource.
Bibliography:Includes bibliographical references and index.
ISBN:9781119037514
1119037514
1322150052
9781322150055
9781119037385
1119037387
1848217692
9781848217690
DOI:10.1002/9781119037514