Mathematician:Henri Léon Lebesgue

Mathematician

French mathematician famous mainly for his work on the theory of integral calculus.

Not to be confused with Victor-Amédée Lebesgue.

Nationality

French

History

• Born: June 28, 1875, Beauvais
• Died: July 26, 1941, Paris

Theorems and Definitions

• Lebesgue Differentiation Theorem
• Lebesgue's Dominated Convergence Theorem
• Lebesgue's Number Lemma

• Lebesgue Covering
• Lebesgue Integral
• Lebesgue Measure
• Lebesgue Number
• Lebesgue Space

• Lebesgue-Stieltjes Integral (with Thomas Joannes Stieltjes)
• Blaschke-Lebesgue Theorem (with Wilhelm Johann Eugen Blaschke) (also known as Blaschke's Theorem)
• Fatou-Lebesgue Theorem (with Pierre Joseph Louis Fatou)
• Riemann-Lebesgue Lemma (with Bernhard Riemann)
• Riemann-Lebesgue Theorem (with Bernhard Riemann)

Results named for Henri Léon Lebesgue can be found here.

Definitions of concepts named for Henri Léon Lebesgue can be found here.

Publications

• 1898: Sur l'approximation des fonctions ("On the approximation of functions")
• 1901: Sur une généralisation de l'intégrale définie ("On a generalization of the definite integral") (in which the Lebesgue Integral was introduced)
• 1902: Intégrale, longueur, aire
• 1904: Leçons sur l'intégration et la recherche des fonctions primitives
• 1906: Leçons sur les séries trigonométriques
• 1910: Représentation trigonométrique approchée des fonctions satisfaisant a une condition de Lipschitz ("Trigonometrical representation approaching functions satisfies a condition of Lipschitz")
• 1922: Notice sur les travaux scientifique de M Henri Lebesgue

Notable Quotes

In my opinion a mathematician, in so far as he is a mathematician, need not preoccupy himself with philosophy -- an opinion, moreover, which has been expressed by many philosophers. (1936)

-- Quoted in 1937: Eric Temple Bell: Men of Mathematics: They Say: What Say They? : Let Them Say

Also known as

His name is sometimes seen rendered as Lebesque, but this appears to be a mistake.

Some sources render his first names as hyphenated: Henri-Léon.

Sources

• John J. O'Connor and Edmund F. Robertson: "Henri Léon Lebesgue": MacTutor History of Mathematics archive

• 1937: Eric Temple Bell: Men of Mathematics ... (previous) ... (next): They Say: What Say They? : Let Them Say
• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): Lebesgue, Henri-Léon (1875-1941)
• 1991: David Wells: Curious and Interesting Geometry ... (previous) ... (next): A Chronological List Of Mathematicians
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Lebesgue, Henri-Léon (1875-1941)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Lebesgue, Henri-Léon (1875-1941)
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Lebesgue, Henri-Léon (1875-1941)