Henri Leon Lebesgue was a French mathematician, born on 28 June 1875 and died on 26 July 1941. He is known for his theory of integration, which generalized the seventeenth century idea of integration as summing the area between an axis and the curve of a function defined for that axis. His theory was first published in his dissertation Integrale, longueur, aire, meaning integral, length, area, presented at the University of Nancy during 1902. Integration in his sense is built on the measure, or size, of sets of points rather than on slicing an axis into intervals.
Facts
Connections
Attributed Works
Source Lebesgue covering dimension (Wikipedia)
Source Lebesgue Integral (Wikipedia)
Source Lebesgue-Stieltjes integration (Wikipedia)
In Branch
Source Henri Lebesgue (Wikipedia)
Proofs Credited
Source Dominated Convergence Theorem (Wikipedia)
Source Lebesgue Differentiation Theorem (Wikipedia)
In the Other Atlases
- Also in Geography Atlas: France, nationality there.
- Also in Science Atlas: Henri Lebesgue, the same subject.
Sources
1. Henri Lebesgue (Wikipedia)
Lead paragraph
his theory of integration, which was a generalization of the 17t
Lead paragraph [nationality-culture]
was a French mathematician
In Branch: Measure Theory, Lead paragraph [in-branch]
his theory of integration
View the SourceLebesgue Integral (Wikipedia)
Attributed Works: Lebesgue Integral, Lead paragraphQuote, Attributed Works: Lebesgue Integral, Lead paragraph
be regarded, in the simplest case, as the area between the graph of that function and the x-axis. The Lebesgue integral, named after French mathematician Henri Lebesgue, is one way to make this concept rigorous and to extend it to
Lebesgue-Stieltjes integration (Wikipedia)
Attributed Works: Lebesgue-Stieltjes Integration, Lead paragraphQuote, Attributed Works: Lebesgue-Stieltjes Integration, Lead paragraph
In measure-theoretic analysis and related branches of mathematics, Lebesgue-Stieltjes integration generalizes both Riemann-Stieltjes and Lebesgue integration, preserving the many advantages of the
Lebesgue covering dimension (Wikipedia)
Attributed Works: Lebesgue covering dimension, Lead paragraphQuote, Attributed Works: Lebesgue covering dimension, Lead paragraph
In mathematics, the Lebesgue covering dimension or topological dimension of a topological space is one of several different ways of defining the dimension
Dominated Convergence Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Dominated Convergence Theorem, Lead paragraphQuote, Proofs Credited: Dominated Convergence Theorem, Lead paragraph
In measure theory, Lebesgue's dominated convergence theorem gives a mild sufficient condition under which limits and integrals of a sequence of functions
Lebesgue Differentiation Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Lebesgue Differentiation Theorem, Lead paragraphQuote, Proofs Credited: Lebesgue Differentiation Theorem, Lead paragraph
In mathematics, the Lebesgue differentiation theorem is a theorem of real analysis, which states that for almost every point, the value of an integrable
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