integral

(Almost) Impossible Integrals, Sums, and Series

Thisbookcontainsamultitudeofchallengingproblemsandsolutionsthatarenotcommonlyfoundinclassicaltextbooks.Onegoalofthebookistopresentthesefascinatingmathematicalproblemsina

Theory of the Integral

Coveringallthestandardtopics,theauthorbeginswithadiscussionoftheintegralinanabstractspace,additiveclassesofsets,measurablefunctions,andintegrationofsequencesoffunctions.S

Pseudodifferential and Singular Integral Operators

Thistextbookprovidesaself-containedandelementaryintroductiontothemoderntheoryofpseudodifferentialoperatorsandtheirapplicationstopartialdifferentialequations.Inthefirstchapt