Example image of eyePlorer eyePlorer map for 'Lebesgue integration': Euclidean space Henri Lebesgue Lebesgue measure Mathematics Measure (mathematics) Real line Probability theory Real analysis Area Function (mathematics) Graph of a function Integral Bounded set Closed set Continuous function Interval (mathematics) Simpson's rule Smooth function Limit of a function Mathematical analysis Polynomial Bernhard Riemann Riemann integral Fourier series Irrational number Nowhere continuous function Non-measurable set Set theory Set (mathematics) Sigma-algebra Signed measure Measurable function Probability Borel set Limit superior and limit inferior Indicator function Linear combination Simple function Extended real number line Complex number Contour line Darboux integral Monotone convergence theorem Countable set Almost everywhere Linear map Monotonic function Fatou's lemma Dominated convergence theorem Lp space