Authors: Л.В. Фардигола

Summary: The course deals with measures, measurable functions, and Lebesgue integrals. The measure theory and integration is applied in a whole series of branches of contemporary mathematics and applications, in particular, in probability theory, functional analysis, optimisation theory etc. In the course of lections, it is considered basic concepts and facts of this theory: basic classes of sets, measures and their extensions, measurable functions, Lebesgue integrals, signed measures and absolute continuity, integration over product spaces, and the space Lp .

Reading audience: This textbook is written on the base of the course «Measure Theory and Integration», which has been given by the author for bachelor students of the speciality «Applied Mathematics» at V.N. Karazin Kharkiv National University during several years. It may be used by graduate and postgraduate students of mathematical and physical faculties of universities.

ISBN 978-617-95455-1-1

Published: Харкiв

Size in pages: 259