A topic within Analysis, itself one of 12 topics in that field and part of Mathematics.
2 works
Henri Lebesgue
Introduces the Lebesgue measure and integral, extending integration to a far larger class of functions than Riemann's construction allowed and founding modern measure theory.
128 pageslink checked 17 Sept 2026Terence Tao
Builds Lebesgue measure and integration from Jordan and Riemann measure outward, treating the failure of the simpler theory to handle countable operations as the motivation for every later construction.
link checked 17 Sept 2026