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GENERAL

AN ELEMENTARY TREATISE ON ELLIPTIC FUNCTIONS

Autor: Arthur Cayley
Editorial: Cambridge
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Contents: The addition equation; Landen's theorem; Miscellaneous investigations; On the elliptic functions sn cn dn; The three kinds of elliptic integrals; The functions II (u, a) Zu Ou Hu; Transformation general outline; The quadratic transformation n=2 and the odd prime transformations n=3, 5, 7 properties of the modular equations and the multiplier; Jacob's partial differential equations for the functions H, O and for the numerators and denominators of the elliptic functions sn cn dn; Transformations for and odd and in particular an odd prime order development of the theroy by means of the n division of the complete functions; The q functions further theory of the functions H, O; Reductions of a diffential expresion rdx/Vx; Quadric transformation of the elliptic integrals of the first and second kinds the arithmetic geometrical mean; On the determination of certain curves the arc of which is represented by an elliptic integral of the first kind; On two integrals reducible to elliptic integrals; Further theory of the linear and quadric transformations. Tiny tears to top spine. Text in english. === CIENCIAS ===