Greenhill G. The applications of elliptic functions

London: MacMiillan, 1892. — 380 p.A classical book on elliptic functions. The chief characteristics of Greenhill's work were a desire for concrete realisation of abstract theories and the direction of investigation to the solution of definite problems. Hence he valued applications of analysis above the analysis itself, and was led to work out minutely the details of multitudes of special cases. He was above all things a problem solver, but, to interest him, a problem had to be a real problem about material things and the ways in which they behave.The Elliptic Functions.
The Elliptic Integrals.
Geometrical and Mechanical Illustrations of the Elliptic Functions.
The Addition Theorem for Elliptic Functions.
The Algebraical Form of the Addition Theorem.
The Elliptic Integrals of the Second and Third Kind.
The Elliptic Integrals in General and their Applications.
The Double Periodicity of the Elliptic Functions.
The Resolution of the Elliptic Functions into Factors and Series.
The Transformation of Elliptic Functions.
Appendix.