Integral and measure from rather simple to rather complex / Vigirdas Mackevičius.

Author/creator Mackevičius, Vigirdas
Format Electronic
Publication InfoLondon : ISTE Ltd, 2014.
Descriptionxiv, 281 pages : illustrations ; 24 cm.
Supplemental ContentFull text available from Ebook Central - Academic Complete
Subjects
Integrals, Generalized.

SeriesMathematics and statistics series
Mathematics and statistics series (ISTE) ^A1271815
Contents Part 1: Integration of one-variable functions -- Functions without second-kind discontinuities -- Indefinite integral -- Definite integral -- Applications of the integral -- Other definitions: Riemann and Stieltjes integrals -- Improper integrals -- Part 2: Integration of several-variable functions -- Additional properties of step functions -- Lebesgue integral -- Fubini and change-of-variables theorems -- Applications of multiple integrals -- Parameter-dependent integrals -- Measure and integration in a measure space -- Families of sets -- Measure spaces -- Extension of measure -- Lebesgue-Stieltjes measures on the real line and distribution functions --- Measurable mappings and real measurable functions -- Convergence almost everywhere and convergence in measure -- Integral -- Product of two measure spaces.
Bibliography noteIncludes bibliographical references and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2014945514
ISBN9781848217690 (hbk)
ISBN1848217692 (hbk)