The Applications of Elliptic Functions #230401

"L'étude approfondie de la nature est la source la plus fdconde des decouvertes mathematiques.<br><br>Non seulement cette &ude, en offrant aux recherches un but determine, a l'avantage d'exclure les questions vagues et les calculs sans issue; elle est encore un moyen assur£ de former I'Analyse elle-meme, et d'en d&ouvrir les elements qu'il nous importe le plus de connaitre et que cette science doit toujours conserver.<br><br>Ces Elements fondamentaux sont ceux qui se reproduisent dans tous les effets naturels." (Fourier.)<br><br>These words of Fourier are taken as the text of the present treatise, which is addressed principally to the student of Applied Mathematics, who will in general acquire his mathematical equipment as he wants it for the solution of some definite actual problem; and it is in the interest of such students that the following Applications of Elliptic Functions have been brought together, to enable them to see how the purely analytical formulas may be considered to arise in the discussion of definite physical questions.