CAUCHY, Augustin Louis, Baron.

Mémoire sur les Intégrales définies, prises entre des limites imaginaires.

A Paris; Chez de Bure frères… Août 1825

4to, 1 leaf, 68 pages, 1 leaf (errata). Stain in lower outer corner of title-page and small repair in lower inner corner, some leaves browned in the extreme margins. Original(?) blue wrappers, uncut.

FIRST EDITION of one of Cauchy’s most important papers, the culmination of his work on definite integrals, begun with a mémoire in 1814. “Genuine complex integration is still lacking in the 1814 mémoire… In a mémoire détaché of 1825 [Cauchy] took a long step towards what is now called Cauchy’s integral theorem… The important 1825 mémoire was neither used nor quoted until 1851, a circumstance utterly strange and hard to explain” (DSB). Parkinson, Breakthroughs, 1825. Bell, Men of mathematics, p. 250: “…a landmark in the history of mathematical analysis.” See En français dans le texte 231 (note).


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