This book contains a systematic presentation of the theory of elliptic functions and some of its applications. A translation from the Russian, this book is intended primarily for engineers who work with elliptic functions. It should be accessible to those with background in the elements of mathematical analysis and the theory of functions contained in approximately the first two years of mathematics and physics courses at the college level.

Table of Contents

• General theorems about elliptic functions
• Modular functions;
• The Weierstrass functions
• Theta functions
• The Jacobi functions
• Transformation of elliptic functions
• Additional facts about elliptic integrals
• Some conformal mappings
• Extremal properties of fractions to which a transformation of elliptic functions reduces
• Generalization of Tchebycheff polynomials
• Various supplements and applications