CAUCHY, Augustin-Louis (1789-1857). Mémoire sur les intégrales définies, prises entre des limites imaginaires. Paris: Hippolyte Tilliard for Bure frères, 1825.

First edition of Cauchy's foundational work on definite integrals and complex functions. In this treatise, Cauchy makes great strides in establishing what is now named “Cauchy’s integral theorem,” which despite its overall impact on mathematics, remained unacknowledged for several decades. “He defined integrals over arbitrary paths in the complex domain and through the Cauchy-Riemann differential equations he derived, by variation calculus, the fact that in a domain of regularity of f(z) such an integral depended on the end points of the path only,” (DSB III, p. 131). Parkinson pp 279-80.

Quarto (260 x 207mm). (Occasional minor foxing.) Contemporary morocco-backed marbled boards, spine gilt stamped with title, blue silk page marker (extremities rubbed). Provenance: Liberia General de Eug. Maillefert y Cia, Mexico (dealer label on front pastedown) – Julian R. Nava, a notable Mexican-American activist, scholar, and collector who served as the United Sates Ambassador to Mexico in 1980-81 (two stamps, one in blind and the other ink).