Lectures on the Theory of Elliptic Functions

📓 While elementary calculus methods are adequate for integrating any expression in which a quadratic in one variable appears under a square root sign, a more advanced calculus is necessary to integrate similar expressions where cubics and quartics occur under the root sign. Elliptic Integrals is a rigorous exposition of this branch of advanced calculus according to the Legendre-Jacobi theory, and deals with the integration of elliptic integrals of the first and second kinds.