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The two great works of the celebrated French mathematician Henri
Lebesgue (1875 1941), Le ons sur l'int gration et la recherche des
fonctions primitives profess es au Coll ge de France (1904) and Le
ons sur les s ries trigonom triques profess es au Coll ge de France
(1906) arose from lecture courses he gave at the Coll ge de France
while holding a teaching post at the University of Rennes. In 1901
Lebesgue formulated measure theory; and in 1902 his new definition
of the definite integral, which generalised the Riemann integral,
revolutionised integral calculus and greatly expanded the scope of
Fourier analysis. The Lebesgue integral is regarded as one of the
major achievements in modern real analysis, and remains central to
the study of mathematics today. Both of Lebesgue's books are
reissued in this series.
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