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Lecons sur l'integration et la recherche des fonctions primitives professees au College de France.

Lecons sur l'integration et la recherche des fonctions primitives professees au College de France.

・ISBN 978-1-108-00185-4 paper GB£ 27.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-511-70182-5

著者・編者Lebesgue, Henri Leon,
シリーズCambridge Library Collection - Mathematics
出版社(Cambridge University Press, UK)
出版年月2009
ページ数152 pp.
言語ENG
ニュース番号<M25-8374>

解説

The two great works of the celebrated French mathematician Henri Lebesgue (1875-1941), Lecons sur l'integration et la recherche des fonctions primitives professees au College de France (1904) and Lecons sur les series trigonometriques professees au College de France (1906) arose from lecture courses he gave at the College 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.