Details
TAYLOR, Brook (1685-1731). Methodus incrementorum directa & inversa. London: Pearson for William Innys, 1715.
4o (219 x 165 mm). Numerous woodcut diagrams. (Some browning and spotting, some worming to fore-margins.) Contemporary calf (rebacked, some wear and repairs). Provenance: E.N. da C. Andrade (bookplate).
FIRST EDITION, containing Taylor's theorem or process for expanding functions into infinite series, known as "Taylor's theorem." It also includes the first recognition and determination of a singular solution for a differential equation, an original formula relating the derivatives of a function to those of its inverse function, determinations of the centers of oscillation and percussion, and the derivation of the fundamental frequency of a stretched vibrating string. "The Methodus qualifies Taylor as one of the founders of the calculus of finite differences, and as one of the first to use it in interpolation and in summation of series" (DSB). Norman 2058.
4o (219 x 165 mm). Numerous woodcut diagrams. (Some browning and spotting, some worming to fore-margins.) Contemporary calf (rebacked, some wear and repairs). Provenance: E.N. da C. Andrade (bookplate).
FIRST EDITION, containing Taylor's theorem or process for expanding functions into infinite series, known as "Taylor's theorem." It also includes the first recognition and determination of a singular solution for a differential equation, an original formula relating the derivatives of a function to those of its inverse function, determinations of the centers of oscillation and percussion, and the derivation of the fundamental frequency of a stretched vibrating string. "The Methodus qualifies Taylor as one of the founders of the calculus of finite differences, and as one of the first to use it in interpolation and in summation of series" (DSB). Norman 2058.