The chapter "Elliptic Functions and Applications" from the book "Applied Mathematical Sciences Volume 80" by Derek F. Lawden provides a comprehensive introduction to elliptic functions and their applications. The book is designed to serve as a textbook for university students and practicing applied mathematicians, filling a gap in the available literature on the subject. It covers the fundamental concepts and properties of elliptic functions, including theta functions, Jacobi's elliptic functions, and Weierstrass's elliptic function. The text also explores various applications of these functions in geometry and physics, such as the motion of a pendulum, orbits under different laws of attraction, and the rotation of a rigid body. The book includes a wide range of exercises and tables to aid in understanding and practical application. The author emphasizes the importance of elliptic functions in both theoretical and applied mathematics, highlighting their historical significance and modern relevance.The chapter "Elliptic Functions and Applications" from the book "Applied Mathematical Sciences Volume 80" by Derek F. Lawden provides a comprehensive introduction to elliptic functions and their applications. The book is designed to serve as a textbook for university students and practicing applied mathematicians, filling a gap in the available literature on the subject. It covers the fundamental concepts and properties of elliptic functions, including theta functions, Jacobi's elliptic functions, and Weierstrass's elliptic function. The text also explores various applications of these functions in geometry and physics, such as the motion of a pendulum, orbits under different laws of attraction, and the rotation of a rigid body. The book includes a wide range of exercises and tables to aid in understanding and practical application. The author emphasizes the importance of elliptic functions in both theoretical and applied mathematics, highlighting their historical significance and modern relevance.