THE HILL DETERMINANT

HILL, G. W.

On the Part of the Motion of Lunar Perigee Which is a Function of the Mean Motions of the Sum and Moon.

Berlin, Stockholm, Paris, Beijer, 1886. 4to. Bound with the original printed wrappers in contemporary half calf. In "Acta Mathematica Hrsg. von G. Mittag-Leffler.", Bd. 8. Entires issue offered. Fine and clean. Pp. 1-36 [Entire volume: (4), 392 pp.].

Second printing (with some additions) of Hill's important paper in he introduced the the Hill Determinant or Hill's Equations

"The memoir of 1877 entitled On the Part of the Motion of the Lunar Perigee Which Is a Function of the Mean Motions of the Sun and Moon contains the incontrovertible evidence of Hill’s mathematical genius. He was led to a differential equation, now called Hill’s equation, that is equivalent to an infinite number of algebraic linear equations. Hill showed how to develop the infianite determinant corresponding to these equations."

Order-nr.: 50827