Real analysisVan Nostrand, 1959 - 272 pages |
Contents
CHAPTER 0PRELIMINARIES SECTION PAGE 1 Sets 1 1347 | 1 |
SECTION | 2 |
Functions and Relations | 3 |
Copyright | |
45 other sections not shown
Common terms and phrases
additive Baire function basic neighborhood belongs bounded called choose closed cluster collection compact complete consider consisting contained converges corresponds countable defined definition denote derivative directed function disjoint domain easily element equal equation equivalent establish everywhere evident exercise exists extended finite follows function f given Hence holds implies induction inequality integral interval Lebesgue LEMMA less Let f lim f(x lim inf lim sup limit linear lower m-measurable m-summable mapping maximality means measurable natural numbers non-negative nonempty notation obtain open set ordered field pair partially ordered particular positive integer preceding principle PROOF properties prove range rational reader real number real-valued functions relation respect satisfies sequence statement subdirection subset summable suppose termed THEOREM topological space true U-function union unique upper zero