ELLIPTIC FUNCTIONS

By N. HAKAY

CONTENTS THE ‘SIMPLE’ PENDULUM JACOBIAN ELLIPTIC FUNCTIONS OF A COMPLEX VARIABLE GENERAL PROPERTIES OF ELLIPTIC FUNCTIONS THETA FUNCTIONS THE JACOBIAN ELLIPTIC FUNCTIONS FOR COMPLEX K INTRODUCTION TO TRANSFORMATION THEORY THE WEIERSTRASS ELLIPTIC FUNCTIONS ELLIPTIC INTEGRALS APPLICATIONS OF ELLIPTIC FUNCTIONS IN GEOMETRY AN APPLICATION OF ELLIPTIC FUNCTIONS IN ALGEBRA – SOLUTION OF THE GENERAL QUINTIC EQUATION AN ARITHMETIC APPLICATION OF ELLIPTIC FUNCTIONS: THE REPRESENTATION OF A POSITIVE INTEGER AS A SUM OF THREE SQUARES APPLICATIONS IN MECHANICS, STATISTICS AND OTHER TOPICS