About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 120. Chapters: Sigma-algebra, Cantor set, Measure, Dirac delta function, Measurable function, Null set, Borel-Cantelli lemma, Almost everywhere, Absolute continuity, Vitali set, Banach-Tarski paradox, Standard probability space, Lebesgue integration, Caccioppoli set, Vitali covering lemma, Fatou's lemma, Egorov's theorem, Lifting theory, Direct integral, Radon-Nikodym theorem, Ham sandwich theorem, Indicator function, Transportation theory, Effective dimension, Support, Von Neumann paradox, Weierstrass function, Dominated convergence theorem, Filtration, Information theory and measure theory, Cantor function, Lebesgue differentiation theorem, Essential range, Solovay model, Valuation, Regular conditional probability, Volume element, Hahn decomposition theorem, Naimark's dilation theorem, Differentiation of integrals, Klee's measure problem, Hamburger moment problem, Disintegration theorem, Weight function, Caratheodory's extension theorem, Jaccard index, Non-measurable set, Wasserstein metric, Prevalent and shy sets, Abstract Wiener space, Convergence of measures, Ba space, Clark-Ocone theorem, Convergence in measure, Locally integrable function, Cameron-Martin theorem, Curvature of a measure, Tightness of measures, Concentration of measure, Atom, Baire set, Sigma additivity, There is no infinite-dimensional Lebesgue measure, Prokhorov's theorem, Simple function, Integration by parts operator, Universally measurable set, Geometric measure theory, Coarea formula, Smith-Volterra-Cantor set, Essential supremum and essential infimum, Volterra's function, Brunn-Minkowski theorem, Trigonometric moment problem, Hahn-Kolmogorov theorem, Factorization lemma, Schroeder-Bernstein theorem for measurable spaces, Minkowski-Steiner formula, Bochner's theorem, Krylov-Bogolyubov theorem, Crofton formula, Levy-Prokhorov metric, Discrepancy theory, ...
