Integral and measure : from rather simple to rather complex / Vigirdas Mackevičius. [electronic resource] Mackevičius, Vigirdas. Integrals, Generalized. QA312 .M33 2014 515/.42 23 Includes bibliographical references and index. Print version record. 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. London : ISTE, Ltd ; Hoboken : Wiley, 2014. 2014. 2014 Text 1 online resource. http://onlinelibrary.wiley.com/book/10.1002/9781119037514 eng Mathematics and Statistics Series Oregon State monographs. Mathematics and statistics series. Integral and measure. Integral and measure.